Answers
The value of y in the given triangle is 7.44 units.
What is tangent in trigonometry?The trigonometric ratio between the opposing and adjacent sides of a right triangle that contains an angle is its tangent. The trigonometric functions, also known as circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths. All geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more, utilise them extensively.
The given triangle is a right-triangle.
The trigonometric identity that gives the relationship between opposite side and adjacent side is tan.
Thus,
tan (28) = opposite / adjacent = y / 14
y = 0.53 (14)
y = 7.44
Hence, the value of y in the given triangle is 7.44 units.
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Related Questions
Find the mean and variance of each of the random variables described below; each of parts a-o refers to a different random variable. c. P(X--5) = 1/4, P(X = 0) = 1 /2, P(X = 5) 1 /4. d. P(X =-5) = .01 , P(X 0) = .98, P(X = 5) = .01 e. P(X-_50) = .0001, P(X = 0) .9998, P(X = 50) = .0001. g. P(X =0)=1/2, P(X = 2) = 1/2. h, P(X = .01) = .01, P(X = 1.01) = .99.
Answers
c. The mean of the random variable X is calculated as:
mean(X) = (-5)(1/4) + (0)(1/2) + (5)(1/4) = 0
The variance of X is calculated as:
var(X) = (-5 - 0)^2(1/4) + (0 - 0)^2(1/2) + (5 - 0)^2(1/4) = 25/2
d. The mean of the random variable X is calculated as:
mean(X) = (-5)(.01) + (0)(.98) + (5)(.01) = 0
The variance of X is calculated as:
var(X) = (-5 - 0)^2(.01) + (0 - 0)^2(.98) + (5 - 0)^2(.01) = 50.25
e. The mean of the random variable X is calculated as:
mean(X) = (-50)(.0001) + (0)(.9998) + (50)(.0001) = 0
The variance of X is calculated as:
var(X) = (-50 - 0)^2(.0001) + (0 - 0)^2(.9998) + (50 - 0)^2(.0001) = 500
g. The mean of the random variable X is calculated as:
mean(X) = (0)(1/2) + (2)(1/2) = 1
The variance of X is calculated as:
var(X) = (0 - 1)^2(1/2) + (2 - 1)^2(1/2) = 1
h. The mean of the random variable X is calculated as:
mean(X) = (.01)(.01) + (1.01)(.99) = 1
The variance of X is calculated as:
var(X) = (.01 - 1)^2(.01) + (1.01 - 1)^2(.99) = .098
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It is given that quadrilateral abcd is a kite. we know that ad ≅ cd by the definition of . by the kite diagonal theorem, ac is to bd this means that angles aed and ced are right angles. we also see that ed ≅ ed by the property. therefore, we have that δaed ≅ δced by .
Answers
By the congruence postulate, we have shown that the quadrilateral is ΔAED ≅ ΔCED.
Let's start by showing that AD = CD. Since AB = AD and BC = CD, we can rewrite AB + BC as AD + CD. This means that AD = AB + BC - CD. But we know that AB = AD, so we can substitute AD for AB to get AD + BC = 2AD + CD. Simplifying this equation, we get AD = CD.
Next, we can show that AE = CE. Since AC is a diagonal of the kite, we know that AC bisects angle BAD and angle BCD. This means that angle BAC = angle DAC and angle BDC = angle CDC. Since AD = CD, we know that triangle ACD is isosceles, so angle ACD = angle CAD.
Using these angle equalities, we can conclude that angle CAE = angle CDE. Since AC ⊥ BD, we know that angle CAD = angle CDE, so we can conclude that triangle ACE is isosceles, which means that AE = CE.
Finally, we need to show that angle AED = angle CED. Since AD = CD and AE = CE, we know that triangles AED and CED have two pairs of congruent sides. Additionally, we know that AC is a common side of the triangles.
Since AC is perpendicular to BD, we know that angle ACD and angle BDC are complementary angles.
This means that angle ACD = 90 - angle BDC and angle CAD = 90 - angle BAC. Using these angle equalities, we can conclude that angle AED = angle CED.
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HELP PLS ILL GIVE U POINTS
Answers
Answer:
i think 16 im not sure
Step-by-step explanation:
What is an equation for the quadratic function represented by the table shown?
Answers
A sandwich shop owner observed the first 100 sandwich orders of the day. The data that the owner obtained is given in the table.
Type of Sandwich Number of Customers
Vegetarian 30
Turkey 20
Ham 35
Chicken 15
Which of the following circle graphs correctly represents the data in the table?
a circle graph with four sections, labeled turkey 30 percent, ham 20 percent, chicken 35 percent, and vegetarian 15 percent
a circle graph with four sections, labeled vegetarian 30 percent, turkey 20 percent, ham 35 percent, and chicken 15 percent
a circle graph with four sections, labeled chicken 30 percent, vegetarian 20 percent, turkey 35 percent, and ham 15 percent
a circle graph with four sections, labeled ham 30 percent, chicken 20 percent, vegetarian 35 percent, and turkey 15 percent
Question 6(Multiple Choice Worth 2 points)
Answers
The circle graphs which correctly represents the data in the table is "a circle graph with four sections, labeled vegetarian 30 percent, turkey 20 percent, ham 35 percent, and chicken 15 percent"
The correct answer choice is option B.
Which of the following circle graphs correctly represents the data in the table?Type of Sandwich Number of Customers
Vegetarian 30
Turkey 20
Ham 35
Chicken 15
Total number of customers = 30 + 20 + 35 + 15
= 100
Percentage of each sandwich:
Vegetarian = 30/100 × 100
= 30%
Turkey = 20/100 × 100
= 20%
Ham = 35/100 × 100
= 35%
Chicken = 15/100 × 100
= 15%
Therefore, a circle graph with four sections, labeled vegetarian 30 percent, turkey 20 percent, ham 35 percent, and chicken 15 percent represents the table.
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A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
A system of equations may not have an exact solution that meets the conditions of a real-world solution.
Using graphing technology is a very efficient way to find solutions to equations and systems of equations.
The intersection point of two graphed functions is the solution for a system of equations. It is the point that makes both equations true.
When two different functions f(x) and g(x) are graphed, the x-coordinate of the point of intersection is the solution to the equation formed from f(x) = g(x)
Systems of equations may be a combination of linear and non-linear functions.
A table of values very rarely shows every possible solution to a system of equations. Finding the approximate solution that is between two values on the table can be a good answer in many situations.
Answers
Answer:
All of the statements are true.
The first statement is true because a graph represents all the possible solutions to an equation or function.
The second statement is true because a system of equations may have no solution, one solution, or infinitely many solutions, depending on the equations.
The third statement is true because graphing technology allows us to see the visual representation of the functions and their intersection points, which are the solutions to the system of equations.
The fourth statement is true because the solution to a system of equations is the point where both equations intersect and are true.
The fifth statement is also true because finding the x-coordinate of the point of intersection is equivalent to finding the solution to f(x) = g(x).
The sixth statement is true because systems of equations can involve any combination of linear, quadratic, exponential, or other functions.
The seventh statement is true because a table of values can only show a limited number of solutions, but finding the approximate solution between two values on the table can still be useful in many practical situations.
We can see that:
1. True: A graph of an equation in two variables or a function represents an infinite number of solutions because each point on the graph corresponds to a solution of the equation or function.
2. True: A system of equations may not have an exact solution that meets the conditions of a real-world solution. It is possible for a system to have no solution or infinite solutions.
3. False: Using graphing technology is a very efficient way to find solutions to equations and systems of equations.
What is graph?In mathematics, a graph is a visual representation or diagram that displays the relationship between different elements or variables.
4. True: The intersection point of two graphed functions represents the solution for a system of equations. The coordinates of the intersection point satisfy both equations simultaneously.
5. True: When two different functions f(x) and g(x) are graphed, the x-coordinate of the point of intersection represents a solution to the equation formed from f(x) = g(x). However, it's important to note that there could be multiple points of intersection, so the x-coordinate of the intersection is not necessarily the only solution.
6. True: Systems of equations may indeed be a combination of linear and non-linear functions. The equations in a system can involve various types of functions, including linear, quadratic, exponential, logarithmic, etc.
7. True: A table of values may not show every possible solution to a system of equations. It provides a limited set of data points, and there may be solutions that fall between the values in the table. However, finding an approximate solution that lies between two values in the table can be a reasonable approach in many situations.
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The complete question is seen below:
True or False:
A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
A system of equations may not have an exact solution that meets the conditions of a real-world solution.
Using graphing technology is a very efficient way to find solutions to equations and systems of equations.
The intersection point of two graphed functions is the solution for a system of equations. It is the point that makes both equations true.
When two different functions f(x) and g(x) are graphed, the x-coordinate of the point of intersection is the solution to the equation formed from f(x) = g(x)
Systems of equations may be a combination of linear and non-linear functions.
A table of values very rarely shows every possible solution to a system of equations. Finding the approximate solution that is between two values on the table can be a good answer in many situations.
Find the value of 2 - 3x when x = 7
2 - 3x is a(n)__________.
Answers
Therefore, when the equation x = 72 - 3x, the value of 2 - 3x is -52.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. It typically contains one or more variables, which are symbols that can represent any number or value. The expressions on both sides of the equal sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation. Equations are used to describe relationships between quantities or to solve problems. They can be represented in various forms, including linear equations, quadratic equations, exponential equations, and trigonometric equations. Equations can be solved by performing operations on both sides of the equation to isolate the variable or variables.
Here,
When we are given that x = 72 - 3x, we can solve for x by first adding 3x to both sides of the equation:
x + 3x = 72
Combining like terms, we get:
4x = 72
Dividing both sides by 4, we get:
x = 18
Now that we know x = 18, we can substitute this value into the expression 2 - 3x:
2 - 3x = 2 - 3(18)
2 - 3x = 2 - 54
2 - 3x = -52
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HELP
Given the information in the diagram of circle P below, find:
Answers
Based on the information in the diagram of circle P, the magnitude of the missing angle are as follows;
m∠BPC = 80 degrees.
m∠ADC = 205 degrees.
What is the central angle property?In Mathematics and Geometry, the central angle property states that an inscribed angle is equal to one-half the measure of a central angle that is subtended by the same arc.
Based on the information provided about circle P, the central angle of circle P is represented by m∠BPC and the measure of arc BC is equals to 80 degrees. Therefore, the magnitude of angle BPC is given by:
m∠BPC = 80 degrees.
Since m∠A is an inscribed angle, its magnitude can be calculated as follows;
m∠A = 1/2(m∠BPC)
m∠A = 1/2(80)
m∠A = 40 degrees.
For the magnitude of m∠ADC, we have:
m∠ADC = 360 - (80 + 75)
m∠ADC = 360 - 155
m∠ADC = 205 degrees.
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I need help asap I just need atleast one of these explained and I can do the rest
Answers
The factοred fοrm οf a pοlynοmial is
1. 30b³- 54b² = 6b²(5b−9)
2. 3y⁵ - 48y³ = 3y³(y −4)(y + 4)
3. x³ + 8 = (x + 2) (x² – 2x + 2²)
4. y³ - 64 = (y - 4) (y² – 4y + 4²)
5. 8c³ + 343(2c + 7)(4c² − 14c + 49)
What dοes a pοlynοmial functiοn in factοred fοrm lοοk like?The factοred fοrm οf a pοlynοmial is represented as a³ + b³ = (a + b) (a² – ab + b²). All equatiοns are cοmpοsed οf pοlynοmials. Earlier we've οnly shοwn yοu hοw tο sοlve equatiοns cοntaining pοlynοmials οf the first degree, but it is οf cοurse pοssible tο sοlve equatiοns οf a higher degree.
One way tο sοlve a pοlynοmial equatiοn is tο use the zerο-prοduct prοperty. If yοu remember frοm earlier chapters the prοperty οf zerο tells us that the prοduct οf any real number and zerο is zerο.
We will use the formula
a³ + b³ = (a + b) (a² – ab + b²)
And
a³ - b³ = (a - b) (a² – ab + b²)
1. [tex]30b^3-\ 54b^2[/tex]
⇒ 6b²(5b−9)
2. 3y⁵ - 48y³
⇒ 3y³( y² - 16y)
⇒ 3y³( y² - 4 + 4 - 16y)
⇒ 3y³(y −4)(y + 4)
3. x³ + 8
⇒ x³ + 2³
Using a³ + b³ = (a + b) (a² – ab + b²)
⇒ x³ + 2³
⇒ (x + 2) (x² – 2x + 2²)
4. y³ - 64
⇒ y³ - 4³
Using a³ - b³ = (a - b) (a² – ab + b²)
⇒ y³ - 4³
⇒ (y - 4) (y² – 4y + 4²)
5. 8c³ + 343
Using a³ + b³ = (a + b) (a² – ab + b²)
2c + 7
(2c + 7)(4c² − 14c + 49)
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Two ropes are attached to a tree, and forces of F_1 = 1.31 + 4.6J n and F_2 = 3.2i + 6.8j n are applied. The forces are coplanar (in the same plane). What is the resultant (net force) of these two force vectors (in N)? (Express your answer in vector form.) Find the magnitude (in N) and direction (in degrees counterclockwise from the +x-axis) of this net force.
Answers
The magnitude and direction of the net force are found by adding the two forces together as resultant force vectors.
a) 11.82 N
b) 74.07°
To find the net force, we add the two force vectors F_1 and F_2:
Fnet = F_1 + F_2
Fnet = (1.31 + 4.6j) N + (3.2i + 6.8j) N
Fnet = 3.2i + (1.31 + 4.6j + 6.8j) N
Fnet = 3.2i + (1.31 + 11.4j) N
To find the magnitude of the net force, we use the Pythagorean theorem:
|Fnet| = sqrt[(3.2)^2 + (1.31 + 11.4)^2] N
|Fnet| ≈ 11.6 N
To find the direction of the net force, we use the inverse tangent function:
θ = tan^(-1)(y/x)
θ = tan^(-1)(11.4/3.2)
θ ≈ 73.8 degrees
Since the net force is in the first quadrant, the direction counterclockwise from the +x-axis is simply θ:
Direction = 73.8 degrees counterclockwise from the +x-axis
Therefore, the net force is Fnet = 3.2i + (1.31 + 11.4j) N, with a magnitude of approximately 11.6 N and a direction of approximately 73.8 degrees counterclockwise from the +x-axis.
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Q1 NEED HELP PLEASE HELP
Answers
Answer:
the maximum height is 2 meters
Question
Find the value of y
for the given value of x
.
y=x+5;x=3
Answers
Answer: y is equal to 8
Step-by-step explanation:
by substituting the x for its vale of three we can add the two values to get 8 or y=8
Factor completely.
7b^2-63
Thank you :DDD
Answers
Since both terms are perfect squares, factor using the difference of squares formula, [tex]a^2-b^2=(a+b)(a-b)[/tex] where [tex]a=b[/tex] and [tex]b=3[/tex]
Answer:[tex]7(b+3)(b-3)[/tex]Decrease R450 in the ratio 9:8
Answers
Step-by-step explanation:
9+8=17
for ratio 9: 9/17 * 450=R238.24
for ratio 8: 8/17* 450= R211.17
R450 x 9/17 = R238,24
R450 x 8/17 = R211,76
write down the name of shape W
Answers
A hexagon with two lines
hope helped you please make me brainalist and keep smiling dude
I hope you are form India
In Drosophila, the allele for normal-length wings is dominant over the allele for vestigial wings. In a population of 1,000 individuals, 360 show the recessive phenotype. How many individuals would you expect to be homozygous dominant and heterozygous for this trait?1:2:1 :1:2:1 is the expected genotypic ratio in the progeny derived from a cross involving two heterozygotes of the same gene. The first "1" represents the proportion of dominant homozygotes, the second class, or class "2", the heterozygotes, and the second "1" the recessive homozygotes. This also means that the phenotypic ratio should be 3 dominant phenotype:1 recessive phenotype. From the phenotypic class "3", 2/3 are represented by the heterozygotes, while the remaining 1/3 by the dominant homozygotes.
Answers
The number of individuals who are homozygous dominant (VV) is 160 individuals, and the number of individuals who are heterozygous (Vv) is 320 individuals.
The population of Drosophila has 1000 individuals, 360 of which display the recessive phenotype. Homozygous dominant and heterozygous for this trait in Drosophila would be expected to be found in how many individuals?
In Drosophila, the dominant allele for normal-length wings is denoted as 'V' and the recessive allele for vestigial wings is denoted as 'v.'To determine the number of individuals who are homozygous dominant or heterozygous for this trait, we'll first determine the number of individuals who are homozygous recessive:
Homozygous recessive individuals in the population = number of individuals displaying the recessive phenotype = 360
This indicate that there are 360 individuals with the genotype vv (homozygous recessive), which will be used to determine the remaining genotypes via the Punnett square. To get the number of individuals who are heterozygous (Vv), we first need to identify the number of individuals with the dominant V allele (VV and Vv). The sum of these two genotypes equals the total number of individuals minus the homozygous recessive individuals, as follows:
Total number of individuals - homozygous recessive individuals = (VV + Vv) individuals+ (vv) individuals = 1000 individuals
Hence, VV + Vv = 1000 - 360 = 640 individuals.Now that we know VV + Vv = 640, we can use the expected genotypic ratio of 1:2:1 to calculate the number of homozygous dominant (VV) and heterozygous (Vv) individuals.1:2:1 represents the expected genotypic ratio in the progeny derived from a cross involving two heterozygotes of the same gene. The first "1" represents the proportion of dominant homozygotes, the second class, or class "2", the heterozygotes, and the second "1" the recessive homozygotes.
Therefore, homozygous dominant (VV) and heterozygous (Vv) individuals in the population would be expected in the following ratio:VV:Vv:vv = 1:2:1. Therefore, the number of individuals who are homozygous dominant (VV) is 1/4 of the total individuals (VV + Vv + vv):
Number of individuals who are homozygous dominant (VV) = 1/4 (VV + Vv + vv)= 1/4 (640) = 160 individuals
And the number of individuals who are heterozygous (Vv) is 2/4 of the total individuals (VV + Vv + vv):
Number of individuals who are heterozygous (Vv) = 2/4 (VV + Vv + vv)= 2/4 (640) = 320 individuals
Therefore, the number of individuals who are homozygous dominant (VV) is 160 individuals, and the number of individuals who are heterozygous (Vv) is 320 individuals.
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Alfonso wants to purchase a pool membership
for the summer. He has no more than y dollars to
spend. The Aquatics Club charges an initial fee
of $75 plus $20 per month. The Swimming Hole
charges an initial fee of $15 plus $65 per month.
Write a system of inequalities that you can use to
determine which company offers the better deal.
Let x represent the number of months.
Answers
The system of inequalities of the company with the better offer is 75 + 20x ≤ y and 15 + 65x ≤ y
Identifying the system of inequalitiesLet's use A to represent the total cost (in dollars) of purchasing a pool membership from the Aquatics Club,
Let S represent the total cost of purchasing a pool membership from the Swimming Hole.
Then we can write the following system of inequalities:
A = 75 + 20x (total cost of Aquatics Club membership)
S = 15 + 65x (total cost of Swimming Hole membership)
Alfonso has no more than y dollars to spend
So, we have
75 + 20x ≤ y
15 + 65x ≤ y
Hence, the system is 75 + 20x ≤ y and 15 + 65x ≤ y
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the customers of rhythm time, an online music service, download 278,579 songs this year. that number is 30% lower than last year. how many songs did they downloaded last year?
Answers
The customers of Rhythm Time, an online music service, downloaded 397,970 songs last year.
How many songs did they download?Rhythm Time, an online music service, had 278,579 songs downloaded this year by its customers. That figure is 30% less than last year. Last year
We can begin by assuming that the total number of songs downloaded last year was x. According to the problem statement, 278,579 songs were downloaded this year, which is 30% less than last year. We can write it as an equation:x - 0.30x = 278,579 Simplifying, we get:0.70x = 278,579 Dividing both sides by 0.70, we get:x = 397,970Therefore, last year, Rhythm Time's customers downloaded 397,970 songs.
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PLEASE HELPP!! i’ve been struggling with this problem for the past 30 min.. lessons about polynomials.
Answers
Answer:
39.77 -> 39 or 40, depending on rounding
Step-by-step explanation:
Since 2002-1992 is 10. T would equal 10. At that point, it would be a gesture of plugging in 10 whereever you see a "t" and solve for both
It is well documented that a typical washing machine can last anywhere between 5 to 20 years. Let the life of a washing machine be represented by a lognormal variable, Y = eX where X is normally distributed. In addition, let the mean and standard deviation of the life of a washing machine be 14 years and 2 years, respectively. [You may find it useful to reference the z table.] a. Compute the mean and the standard deviation of X. (Round your intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) b. What proportion of the washing machines will last for more than 15 years? (Round your intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) c. What proportion of the washing machines will last for less than 10 years? (Round your intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.) d. Compute the 90th percentile of the life of the washing machines. (Round your intermediate calculations to at least 4 decimal places, "z" value to 3 decimal places, and final answer to the nearest whole number.)
Answers
a. The mean of X is 1.7549 and the standard deviation is 0.3536.
b. To calculate the proportion of washing machines that will last for more than 15 years, we need to use the standard normal distribution table. The z-score for 15 years is (15-14)/0.3536 = 2.822. Using the table, we find that the proportion of washing machines that will last for more than 15 years is 0.9968.
c. To calculate the proportion of washing machines that will last for less than 10 years, we need to use the standard normal distribution table. The z-score for 10 years is (10-14)/0.3536 = -2.822. Using the table, we find that the proportion of washing machines that will last for less than 10 years is 0.0032.
d. To calculate the 90th percentile of the life of the washing machines, we need to use the standard normal distribution table. The z-score for the 90th percentile is 1.28. Using the table, we find that the 90th percentile is 17 years.
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when performing regression, why would you want to have a quadratic term? group of answer choices you never want to add a quadratic term when performing regression to better fit a scatterplot with too many outliers to better fit a scatterplot that shows a curve in the data to better fit linear data
Answers
So, the right response is that, in order to more accurately fit the scatterplot that depicts a curve in the data, you need add a quadratic component while performing regression.
What is the quadratic term count?As ax² +bx + c, a quadratic equation can be expressed. In a quadratic equation, the largest exponent is 2, which limits the number of terms to a maximum of 3. These terms are exponent 2 (ax²) and exponent 1 (bx) fixed term.
Regression can be improved by including a quadratic component to better match scatterplots of data that display curves. This is so that the independent and dependent variables can have a nonlinear connection, which is made possible by a quadratic term. A quadratic component can assist capture inherent curvature of a data and enhance the fit of a regression model in cases where the connection between both the variables isn't really strictly linear.
A quadratic term may not be appropriate or required, though. A quadratic factor would not increase the model's fit if the variables' relationships are strictly linear and might even result in overfitting. In addition, if the scatterplot contains too many anomalies or the data is not consistent, adding a quadratic factor might not be beneficial.
In order to properly fit a scatter plot graph that depicts a curve in the data, the correct response is you would like to add a quadratic term while performing regression.
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The volume of a solid hemisphere of radius 2 cm
Answers
Answer:
The volume of a solid hemisphere with radius r is given by the formula:
V = (2/3)πr^3
In this case, the radius of the hemisphere is 2 cm. Substituting this value into the formula, we get:
V = (2/3)π(2 cm)^3
V = (2/3)π(8 cm^3)
V = (16/3)π cm^3
Therefore, the volume of the solid hemisphere is (16/3)π cubic centimeters.
Answer:
(16/3)π cm³ ≈ 16.76 cm³ (nearest hundredth)
Step-by-step explanation:
The volume of a solid hemisphere is given by the formula:
[tex]\boxed{V = \dfrac{2}{3}\pi r^3}[/tex]
where r is the radius of the hemisphere.
Substitute the given radius, r = 2 cm, into the formula, and solve for V:
[tex]\begin{aligned}\implies V &= \dfrac{2}{3}\pi(2)^3\\\\&= \dfrac{2}{3}\pi \cdot 8\\\\&= \dfrac{16}{3}\pi\; \sf cm^3\end{aligned}[/tex]
Therefore, the volume of the solid hemisphere of radius 2 cm is (16/3)π cm³ or approximately 16.76 cm³ (nearest hundredth).
Find the area of the figure. Use 3.14 for . 8 in 9 in OA. 97.2 in² OB. 86.24 in² O C. 61.12 in² O D. 122.24 in²
Answers
The area of the figure is option (C) 61.12 in².
What is the Area of a TriangIe?The area of a triangIe is the region encIosed within the sides of the triangIe. The area of a triangIe varies from one triangIe to another depending on the Iength of the sides and the internaI angIes. The area of a triangIe is expressed in square units, Iike, m2, cm2, in2, and so on.
What is the Area of CircIe?The area of a circIe is the amount of space encIosed within the boundary of a circIe. The region within the boundary of the circIe is the area occupied by the circIe. It may aIso be referred to as the totaI number of square units inside that circIe. Area of CircIe = πr2 or πd2/4 in square units, where
(Pi) π = 22/7 or 3.14.
r = radius of the circIe
d = diameter of the circIe
Pi (π) is the ratio of circumference to diameter of any circIe. It is a speciaI mathematicaI constant.
Area of triangIe = ½ x B x H
Given Height = 8 in
Given Breath = 9 in
Area of TriangIe = ½ x 8 x 9 = 36 in²
Area of haIf circIe = ½ (pi x r²)
= ½ (3.14 x 16)
= (½ x 50.24) in²
= 25.12 in²
Area of the figure wiII be 36 in² + 25.12 in² = 61.12 in²
Option C wiII be the correct option.
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The area of the figure will be 36 in² + 25.12 in² = 61.12 in². Option C will be the correct option.
What is the Area of CircIe?
The area of a circIe is the amount of space enclosed within the boundary of a circIe. The region within the boundary of the circIe is the area occupied by the circIe. It may aIso be referred to as the total number of square units inside that circle.
Area of CircIe = πr2 or πd2/4 in square units, where
(Pi) π = 22/7 or 3.14.
r = radius of the circIe
d = diameter of the circIe
Pi (π) is the ratio of circumference to diameter of any circIe. It is a speciaI mathematicaI constant.
Area of triangle = ½ x B x H
Given Height = 8 in
Given Breath = 9 in
Area of TriangIe = ½ x 8 x 9 = 36 in²
Area of haIf circIe = ½ (pi x r²)
= ½ (3.14 x 16)
= (½ x 50.24) in²
= 25.12 in²
Therefore, Area of the figure will be 36 in² + 25.12 in² = 61.12 in²
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Please need help in math
Answers
I inserted in an image below to help you with the rule.
The 1st point is (6,1) . This becomes (1,-6).
The 2nd point is (-5,-6). This becomes (-6, 5)
Thabo and his friend Amon shared a Job of cleaning Thabo's uncle yard He paid both of them R400. Thabo worked three hours and Amon worked for two hours. Use the information above to answer the questions that follow: 1.1 Determine the amount Thabo will receive, if they decide to share the R400 in a ratio of 3.2. 12 Thabo used 1/5 of his money towards a second hand video game. Calculate the cost of the video game. 13. Thibo's transport fare to school has increased from R800 to R1150. 1.3.1 Write R1150 in words. 1.3.2 Determine the percentage increase of the transport fare. You may use the formula: Percentage increase New amount-Old amount * 100% (2)
Answers
1.1) If Thabo and Amon decide to share the R400 in a ratio of 3.2, the amount Thabo will receive is R240.
1.2) If Thabo used 1/5 (a fraction) of his money towards a secondhand video game, the cost of the secondhand video game is R48.
1.3.1) If Thabo's transport fare to school has increased from R800 to R1,150, R1,150 written in words, is One Thousand, One Hundred and Fifty rupees.
1.3.2) If Thabo's transport fare to school has increased from R800 to R1,150, the percentage increase in the transport fare is 43.75%.
What is the ratio?The ratio refers to the relative size of one quantity compared to another.
Ratios are formally written using the ratio standard form (:). Ratios can also be expressed as decimals, percentages, and fractions.
The total amount received from the cleaning job = R400
The number of hours Thabo worked = 3 hours
The number of hours Amon worked = 2 hours
1.1) Sharing ratio = 3:2
The sum of ratios = 5
Thabo's share of R400 = R240 (R400 x 3/5)
1.2) The cost of the video game = R48 (R240 × ¹/₅)
1.3) Transport Fare:Old transport fare = R800
Current transport fare = R1,150
Increase in transport fare = R350 (R1,150 - R800)
Percentage increase in transport fare = 43.75% (R350/R800 x 100)
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Which choice is an exponential function?
Of(x)=x²+6
Of(x)=5(3)*
Of(x) = 3x + 7
Of(x) = |2x+ 41
Answers
Answer:1st one
Step-by-step explanation:
cala used 4 2/3 cups of watermelon and 2 1/6 cups of cherries to make a fruit bowl how many cups of watermelon and cherries were used in all
Answers
Answer:
6 5/6 cups
Step-by-step explanation:
Add.
4 2/3 = 4 4/6
4 4/6 + 2 1/6 gives 6 5/6 cups were used in all.
Hope this helps!
Order the following number from least to greatest
0. 75 0. 721 73/100
Answers
The numbers ordered from least to greatest are 0.721, 73/100, and 0.75.
0.75, 0.721, 73/100
we can convert the fraction 73/100 to a decimal by dividing 73 by 100, which gives us 0.73.
0.721 < 0.73 < 0.75
"Least" is a mathematical term used to refer to the smallest value in a given set of numbers or a range of values. It is the opposite of the term "greatest," which refers to the largest value in the set. To find the least value in a set of numbers, you can sort them in ascending order and select the first or smallest number. Alternatively, you can use mathematical formulas or functions such as the minimum function to determine the least value.
In algebra, finding the least common multiple (LCM) or least common denominator (LCD) involves identifying the smallest multiple or denominator that two or more numbers or expressions have in common. This is essential in simplifying and solving complex equations and expressions. In geometry, the least distance between two points is the straight line or path that connects them and is the shortest possible route between them. This concept is fundamental in navigation and optimization problems.
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Select the reason why these triangles are
similar. If they are not, select "Not similar."
A. SAS
C. Not similar
B. AA
D. SSS
109⁰
41°
30⁰
30°
Answers
The triangles are similar by the AA similarity criterion since they have two pairs of congruent angles (41° and 109°, and 30°). Therefore, the answer is B. AA.
What is triangle?A triangle is a polygon that has three sides, three vertices, and three angles. It is the simplest polygon in Euclidean geometry and one of the most studied shapes in mathematics. The sum of the three angles in a triangle is always 180 degrees, and the length of one side of a triangle is always less than the sum of the other two sides. There are many different types of triangles, including equilateral triangles (where all sides are equal), isosceles triangles (where two sides are equal), and scalene triangles (where no sides are equal). Triangles are used in many areas of mathematics and science, including trigonometry, geometry, and physics.
Here,
To determine whether the two triangles are similar using AA similarity, we need to compare the angles of both triangles.
Triangle 1 has angles 41°, 30°, and 109°.
Triangle 2 has angles 30°, 41°, and 109°.
We see that the two triangles have two pairs of congruent angles, namely 41° and 41°, and 109° and 109°. Therefore, the two triangles are similar by the AA similarity criterion.
Note that the order of the angles does not matter when comparing triangles for similarity.
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hi could someone help me
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The listed price of the TV that Wayne bought was $947.37
What was the listed price of the TV?Here we know that Wayne pays $660 for a TV whose price was marked down by (30 + 1/3)%
We can rewrite that discount as 0.30333... in a decimal form (get that just by dividing the percentage by 100%)
Then if the lited price of the TV is P, we can write the equation for the discount as follows:
660 = P*(1 - 0.3033...)
The number that we subtract is the percentage in decimal form.
Solving this for P gives:
P = 660/(1- 0.3033...) = 947.37
The listed price was 947.37 dollars.
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