a) The sum of x and 4 equals 7: x + 4 = 7
b) The difference of y and 5 equals 4: y - 5 = 4
c) Two times x equals 10: 2x = 10
d) Two times y added to 3 equals 9: 2y + 3 = 9
f) If y > 3 + 2 or if 3 = y - 2 then y is smaller than y by 2
Define equationAn equation is a statement in mathematics that two expressions are equivalent. It has two sides that are divided by the equals sign (=). One or more terms, such as integers, variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation, may be included on each side of the equation.
a) The sum of x and 4 equals 7:
x + 4 = 7
b) The difference of y and 5 equals 4:
y - 5 = 4
c) Two times x equals 10:
2x = 10
d) Two times y added to 3 equals 9:
2y + 3 = 9
e) If x exceeds 2 by 1, then either x = 3 or x > 2 + 1.
f) If 3 is smaller than y by 2 then either y > 3 + 2 or 3 = y - 2
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Sara is a salesperson for Camera's Etc., which is a retailer for high-end digital cameras. Historically. Sara has averaged selling 2.7 extended warranties per day for cameras that she sells. Assume the number of camera warranties that Sara
sells per day follows the Poisson distribution. Complete part A
a. What is the probability that Sara will sell four extended warranties tomorrow?
The probability that Sara whassell four extended warranties tomorrow is___
(Round to four decimal places as needed.)
Answer:
The probability that Sara whassell four extended warranties tomorrow is 0.1046
Step-by-step explanation:
Please hit brainliest if this helped! If you have any questions, please comment.
We can use the Poisson probability formula to calculate the probability of selling 4 extended warranties tomorrow:
P(X = k) = (e^(-λ) * λ^k) / k!
where λ is the average number of extended warranties sold per day and k is the number of extended warranties sold.
In this case, λ = 2.7 and k = 4. So, plugging in the values, we get:
P(X = 4) = (e^(-2.7) * 2.7^4) / 4!
P(X = 4) ≈ 0.1046
Therefore, the probability that Sara will sell four extended warranties tomorrow is approximately 0.1046, rounded to four decimal places.
Please help !!!! Given m∥n, find the value of x.
(3x+5) (x-25) = 180 degrees
Answer:
Step-by-step explanation:
[tex](3x+5)+(x-25)=180 \text{ \ (angles on a straight line are supplementary)}[/tex]
[tex]4x-20=180[/tex]
[tex]4x=200[/tex] (+20 both sides)
[tex]x=50[/tex] (÷4 both sides)
A block of mass 2kg is attached to the spring of spring constant 50Nm −1. The block is pulled to a distance of 5 cm from its equilibrium position at x=0 on a horizontal frictionless surface from rest at t = 0. The displacement of the block at any time t is thenA. x= 0.05sin5tmB. x= 0.05cos5tmC. x= 0.5sin5tmD. x= 5sin5tm
The displacement of the block at any time t is then x= 0.05cos5tm. (option b).
Now, when the block is released, it starts oscillating back and forth about its equilibrium position due to the force exerted by the spring. This motion is described by the equation of motion for a simple harmonic oscillator:
x = Acos(ωt + φ)
The angular frequency ω of the oscillation is given by:
ω = √(k/m)
where k is the spring constant and m is the mass of the block.
Substituting the given values of k and m, we get:
ω = √(50/2) = 5 rad/s
The phase angle φ depends on the initial conditions of the system, i.e., the initial displacement and velocity of the block. Since the block is initially at rest, its initial velocity is zero and the phase angle is zero as well.
Therefore, the equation of motion for the displacement of the block is:
x = 0.05cos(5t)
Hence, option B, x = 0.05cos(5t), is the correct answer.
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use the equation that you wrote in excerise 21 to find the number of vertices of a cube, which has 12 edges and 6 faces
The cube has 8 vertices. Exercise 21 states that for a polyhedron with V vertices, E edges, and F faces, the following equation holds:
V - E + F = 2
To use this equation to find the number of vertices of a cube with 12 edges and 6 faces, we first need to identify the values of E and F.
A cube has 12 edges, as given in the problem statement, and it has 6 faces since a cube has 6 square faces.
Substituting these values into the equation, we get:
V - 12 + 6 = 2
Simplifying this equation, we have:
V - 6 = 2
Adding 6 to both sides, we get:
V = 8
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Let S be the universal set, where:
S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
The elements in the set (A∩B¹) = {2,11,12,} and (B∩A¹) ={5,7,8,9,13,15,16,18}
What is set theory?You should understand that Set theory is a branch of mathematical logic that studies sets, which can be informally described as collections of objects such as numbers, alphabets and variables.
The universal set
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {1,2,6,11,12,19,20}
B = {1,5,6,7,8,9,13,15,16,18,19,20}
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
B¹ = {2.3.4.10.11.12.14.17)
A = {1,2,6,11,12,19,20}
(A∩B¹) = {2,11,12,}
The elements of (B∩A¹) is
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {1,2,6,11,12,19,20}
A¹ = {3,4,5,7,8,9,10,13,14,15,16,17,18}
B = {1,5,6,7,8,9,13,15,16,18,19,20}
(B∩A¹) = {5,7,8,9,13,15,16,18}
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Given the equation x² + 4x + y²-2y = 20: (HINT: Type in the equation is the desmos calculator and get the answers from the graph.)
What is the radius of the circle?
What is the center of the circle?
Answer:
The radius of the circle is 3.
The center of the circle is (-2, 1).
Step-by-step explanation:
Rewrite the equation in standard form:
We need to rewrite the given equation in standard form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. To do this, we complete the square for both the x and y terms.
x² + 4x + y²-2y = 20
(x² + 4x + 4) + (y² - 2y + 1) = 20 + 4 + 1
(x + 2)² + (y - 1)² = 25
Identify the center and radius:
Now that we have the equation in standard form, we can identify the center and radius of the circle.
The center is the point (-2, 1), which we can read directly from the equation.
The radius is the square root of the number on the right side of the equation, which is 5. Therefore, the radius is sqrt(5) or approximately 2.236.
Alternatively, we can also use the Desmos graphing calculator to plot the equation and visually determine the center and radius. When we plot the equation, we see that it forms a circle with center (-2, 1) and radius 3.
Assuming that the equation defines a differential function of x, find Dxy by implicit differentiation. 4)2xy-y2 = 1 5) xy + x + y = x2y2
For the equations 2xy - y^2 = 1 and xy + x + y = x^2y^2 using implicit differentiation the value Dxy is given by Dxy = (1 - 2xy + 3y^2)/(x - y)^3 and Dxy = (2y^2 - 2xy - 3y - 1)/(x - 2xy + 1)^3 respectively.
Equation 2xy - y^2 = 1,
Differentiate both sides of the equation with respect to x,
Treating y as function of x and then differentiate again with respect to x.
Using implicit differentiation,
First, differentiate both sides with respect to x,
2y + 2xy' - 2yy' = 0
Next, solve for y',
⇒2xy' - 2yy' = -2y
⇒y' (2x - 2y) = -2y
⇒y' = -y/(x - y)
Now, differentiate again with respect to x,
y''(x - y) - y'(2x - 2y) = y/(x - y)^2
Substitute the expression we obtained for y' in terms of y and x,
y''(x - y) - (-y/(x - y))(2x - 2y) = y/(x - y)^2
Simplify and solve for y'',
y''(x - y) + (2xy - 3y^2)/(x - y)^2 = 1/(x - y)^2
The expression for Dxy is,
Dxy = (1 - 2xy + 3y^2)/(x - y)^3
For the equation xy + x + y = x^2y^2,
Differentiate both sides of the equation with respect to x,
Using implicit differentiation,
First, differentiate both sides with respect to x,
⇒y + xy' + 1 + y' = 2xyy'
Solve for y',
⇒xy' - 2xyy' + y' = -y - 1
⇒y' (x - 2xy + 1) = -y - 1
⇒y' = -(y + 1)/(x - 2xy + 1)
Now, differentiate again with respect to x,
y''(x - 2xy + 1) - y'(2y - 2x y' + 1) = (y + 1)/(x - 2xy + 1)^2
Substitute the expression we obtained for y' in terms of y and x,
y''(x - 2xy + 1) - (-y - 1)/(x - 2xy + 1)^2 (2y - 2x y' + 1) = (y + 1)/(x - 2xy + 1)^2
Simplify and solve for y''
y''(x - 2xy + 1) - (2y^2 - 2xy - 2y)/(x - 2xy + 1)^2 = (y + 1)/(x - 2xy + 1)^2
The expression for Dxy is,
Dxy = (2y^2 - 2xy - 3y - 1)/(x - 2xy + 1)^3
Therefore , the value of Dxy using implicit differentiation for two different functions is equal to
Dxy = (1 - 2xy + 3y^2)/(x - y)^3 and Dxy = (2y^2 - 2xy - 3y - 1)/(x - 2xy + 1)^3
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in a class if 108 students, 60 like football, 53 like Tennis and 10 like neither. calculate the number of students who like football but not tennis
Answer:
60 - 10 = 50
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Can someone please tell me what 5 divided by 1/3 is?
Answer:
15.
The trick to working out 5 divided by 1/3 is similar to the method we use to work out dividing a fraction by a whole number.All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator.
So, the answer to the question "what is 5 divided by 1/3?" is
15!
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Jason invested $5,500 in an account paying an interest rate of 1 7/8 % compounded quarterly. Kayden invested $5,500 in an account paying an interest rate of 1 3/8 % compounded annually. After 8 years, how much more money would Jason have in his account than Kayden, to the nearest dollar?
Using compounding we know that the additional amount Jason has more than Kayden is $249.48.
What is compounding?Calculating interest on the principal borrowed as well as any prior interest.
In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one.
So, the amount of Jason after 8 years:
Amount: $5500
Interest: 1.875%
Compounded: Quarterly
Using a compounding calculator:
Amount after 8 years: $6,387.85
The amount of Kayden:
Amount: $5500
Interest: 1.375%
Compounded: Quarterly
Using a compounding calculator:
Amount after 8 years: $6,138.37
The additional amount Jason got: 6,387.85 - 6,138.37 = $249.48
Therefore, using compounding we know that the additional amount Jason has more than Kayden is $249.48.
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Answer:253
Step-by-step explanation:
Give an example to show that if d is not prime and n2 is divisible by d, then n need not be divisible by d.
If d is not a prime number and n^2 is divisible by d, it does not necessarily mean that n is also divisible by d, example is d = 6 and n = 3, where n^2 = 9 is divisible by 6, but n = 3 is not divisible by 6.
A prime number is a positive integer greater than 1 that has exactly two distinct factors: 1 and itself. For example, 2, 3, 5, 7, 11, 13, and 17 are all prime numbers.
If a number d is not prime, then it has at least one factor other than 1 and itself. Let's assume that d is not prime, and let p be a factor of d such that p is not equal to 1 or d. Then, by definition, p divides d evenly with no remainder.
Consider the case where d = 6 and n = 3.
Here, d is not a prime number, and n^2 = 9, which is divisible by d since 9 is a multiple of 6. However, n = 3 is not divisible by d = 6, as 6 does not divide 3 evenly.
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a water park sold 1679 tickets for total of 44,620 on a wa summer day..each adult tocket is $35 and each child ticket is $20. how many of each type of tixkwt were sold?
Therefore , the solution of the given problem of unitary method comes out to be the attraction sold 943 child tickets and 736 adult tickets on that particular day.
What is an unitary method?It is possible to accomplish the objective by using previously recognized variables, this common convenience, or all essential components from a prior malleable study that adhered to a specific methodology. If the expression assertion result occurs, it will be able to get in touch with the entity again; if it does not, both crucial systems will undoubtedly miss the statement.
Here,
Assume the attraction sold x tickets for adults and y tickets for kids.
Based on the supplied data, we can construct the following two equations:
=> x + y = 1679 (equation 1, representing the total number of tickets sold)
=> 35x + 20y = 44620 (equation 2, representing the total revenue generated)
Using the elimination technique, we can find the values of x and y.
When we divide equation 1 by 20, we obtain:
=> 20x + 20y = 33580 (equation 3)
Equation 3 is obtained by subtracting equation 2 to yield:
=> 15x = 11040
=> x = 736
When we enter x = 736 into equation 1, we obtain:
=> 736 + y = 1679
=> y = 943
As a result, the attraction sold 943 child tickets and 736 adult tickets on that particular day.
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the c on the left has blank1 - word answer please type your answer to submit electron geometry and a bond angle of
The CH3-CIOI-CNI molecule contains three carbon atoms with different electron geometries and bond angles. The CH3 and CIOI carbon atoms have tetrahedral geometry with a bond angle of approximately 109.5 degrees, while the CNI carbon atom has a trigonal planar geometry with a bond angle of approximately 120 degrees.
Using this Lewis structure, we can determine the electron geometry and bond angle for each carbon atom in the molecule as follows.
The carbon atom in the CH3 group has four electron domains (three bonding pairs and one non-bonding pair). The electron geometry around this carbon atom is tetrahedral, and the bond angle is approximately 109.5 degrees.
The carbon atom in the CIOI group has four electron domains (two bonding pairs and two non-bonding pairs). The electron geometry around this carbon atom is also tetrahedral, and the bond angle is approximately 109.5 degrees.
The carbon atom in the CNI group has three electron domains (one bonding pair and two non-bonding pairs). The electron geometry around this carbon atom is trigonal planar, and the bond angle is approximately 120 degrees.
Therefore, the electron geometry and bond angle for each carbon atom in the structure CH3-CIOI-CNI are:
CH3 carbon atom tetrahedral geometry, bond angle of approximately 109.5 degrees
CIOI carbon atom tetrahedral geometry, bond angle of approximately 109.5 degrees
CNI carbon atom trigonal planar geometry, bond angle of approximately 120 degrees
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_____The given question is incomplete, the complete question is given below:
Determine the electron geometry and bond angle for each carbon atom in the structure CH3-CIOI-CNI
mr.woodstock has a plot of land 36 meter long and 16 meters wide. he uses the land for mixed farming- rearing animals and growing crop? what length of wire does mr woodstock need to fence his land
To calculate the amount of wire needed to fence Mr. Woodstock's land, you will need to use the formula for the perimeter of a rectangular shape. The formula for perimeter is Length + Width x 2.
Plugging in the given dimensions for Length (36 meters) and Width (16 meters) will give us the following calculation:
36 + 16 x 2 = 88 meters
Therefore, Mr. Woodstock will need 88 meters of wire to fence his land.
Please indicate which is the best answer to complete the figure below.
Answer:b
Step-by-step explanation:
What is the measure of angle ABC?
TERM 1 ASSIGNMENT GRADE 7 Question 3 3.1. Calculate the following WITHOUT using a calculator; 3.1.1 6234 ×32
Answer: 6234 × 32 = 199488.
Step by step:
To calculate 6234 × 32 without using a calculator, you can use the traditional multiplication method as follows:
6234
x 32
-------
12468 (2 x 6234)
+ 62340 (3 x 6234 with a zero added)
--------
199488
A bicycle wheel is 63m in diameter. how many metres does the bicycle travel for 100 revolutions of the wheel. (pie=²²/⁷
Answer:
19782m
Step-by-step explanation:
1 revolution = circumference
circumference = π * diameter
π = 3.1416
Then
circumference = 3.1416 * 63
= 197.92m
1 revolution = 197.82m
100 revolutions = 100*197.82m
= 19782m
Answer:
19.8 km
Step-by-step explanation:
To find:-
The distance travelled in 100 revolutions .Answer:-
We are here given that,
diameter = 63mWe can first find the circumference of the wheel using the formula,
[tex]:\implies \sf C = 2\pi r \\[/tex]
Here radius will be 63/2 as radius is half of diameter. So on substituting the respective values, we have;
[tex]:\implies \sf C = 2\times \dfrac{22}{7}\times \dfrac{63}{2} \ m \\[/tex]
[tex]:\implies \sf C = 198\ m \\[/tex]
Now in one revolution , the cycle will cover a distance of 198m . So in 100 revolutions it will cover,
[tex]:\implies \sf Distance= 198(100)m\\[/tex]
[tex]:\implies \sf Distance = 19800 m \\[/tex]
[tex]:\implies \sf Distance = 19.8 \ km\\[/tex]
Hence the bicycle would cover 19.8 km in 100 revolutions.
Next > Pretest: Essential Learning 13 Select the correct answer. What is the simplified form of this expression? (5x² + 2x + 11) − (7 + 4x - 2x²)
Answer:
7x² - 2x + 4
Explanation:
(5x² + 2x + 11) − (7 + 4x - 2x²)
= 5x² + 2x + 11 - 7 - 4x + 2x²
= 7x² + 2x + 11 - 7 - 4x
= 7x² - 2x + 11 - 7
= 7x² - 2x + 4
So, the answer is 7x² - 2x + 4
HELP ASAP PLEASE! A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden is 7 inches by 4 inches. The length and width of the actual garden will be 35 times larger than the length and width in the drawing.
What is the perimeter of the drawing? Show your work.
What is the perimeter of the actual garden? Show your work.
What is the effect on the perimeter of the garden with the dimensions are multiplied by 35? Show your work.
The perimeter of the garden in the drawing is 22 inches and the perimeter of the actual garden is 770 inches
The perimeter of the drawingThe perimeter of the garden in the drawing is calculated as
Perimeter of garden in drawing = 2(length + width)
So, we have
Perimeter of garden in drawing = 2(7 inches + 4 inches)
Evaluate
Perimeter of garden in drawing = 22 inches
So the perimeter of the garden in the drawing is 22 inches.
The perimeter of the actual gardenFor the perimeter of the actual garden, we have
Perimeter of actual garden = 22 inches * 35
Perimeter of actual garden = 770 inches
The effect on the perimeterWe can see that the perimeter of the actual garden is 35 times larger than the perimeter of the garden in the drawing.
This makes sense since the length and width of the actual garden are 35 times larger than the length and width in the drawing, so the perimeter (which is the sum of the lengths of all four sides) would also be 35 times larger.
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3x + y = 6
Y + 2 = x
Answer: x = 2, y = 0
Step-by-step explanation:
Assuming you need help solving for x or y, and the capital Y is y, we have the system of equations:
3x + y = 6
y + 2 = x
Substituting x for y + 2 gives us
3(y + 2) + y = 6
3y + 6 + y = 6
4y = 0
y = 0
Plugging y = 0 in for the second equation gives us
x = 0 + 2, or x = 2
I’m having a hard time understanding how to get the Domain and Range. If you help please
Answer:
[-1,inf) and [-2,inf)
Step-by-step explanation:
Domain is all the X coordinates that the function will pass through. it starts at -1 and goes to inf so [-1,inf) is the domain. The range is all the Y coordinates the function will pass through. It starts at -2 and goes up to inf so [-2,inf) and that is your answer
the expression the quantity cosecant squared of theta minus 1 end quantity over cotangent of theta simplifies to which of the following?
Students were asked to simplify the expression using trigonometric identities:
A. student A is correct; student B was confused by the division
B. 3: cos²(θ)/(sin(θ)csc(θ)); 4: cos²(θ)
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.
There are several distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.
The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names.
Each student correctly made use of the trigonometric identities
cosec(θ) = 1/sin(θ)
1 -sin²(θ) = cos²(θ)
A.
Student A's work is correct.
Student B apparently got confused by the two denominators in Step 2, and incorrectly replaced them with their quotient instead of their product.
The transition from Step 2 can look like:
[tex]\frac{(\frac{1-sin^2\theta}{sin\theta} )}{cosec\theta} =\frac{1-sin^2\theta}{sin\theta} .\frac{1}{cosec\theta} =\frac{cos^2\theta}{(sin\theta)(cosec\theta)}[/tex]
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Complete question:
Students were asked to simplify the expression the quantity cosecant theta minus sine theta end quantity over cosecant period Two students' work is given. (In image below)
Part A: Which student simplified the expression incorrectly? Explain the errors that were made or the formulas that were misused. (5 points)
Part B: Complete the student's solution correctly, beginning with the location of the error. (5 points)
TRUE OR FALSE to calculate the average of the numeric values in a list, the first step is to get the total of values in the list.
The given statement 'to calculate the average of the numeric values in a list the first step is to get the sum of all the given values ' is a true.
Average of the numeric values in a list,
First step is to get the sum of values in the list.
It is not the total number of values.
Once we have the sum, we can divide it by the number of values to get the average.
Here is an example,
Suppose we have a list of numeric values are as follow,
[2, 4, 6, 8, 10].
To calculate the average of these values, we first find their sum,
2 + 4 + 6 + 8 + 10 = 30
Next,
divide the sum by the number of values in the list
Number of values = 5
30 / 5 = 6
This implies,
The average of the values in the list is 6.
Therefore, to get the average first step is to get the total of all values is true statement.
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find a polynomial function with the following zeros: double zero at -4 simple zero at 3.
f(x) = (x+4)^2(x-3) has polynomial function with the following zeros: double zero at -4 simple zero at 3.
If a polynomial has a double zero at -4, it means that it can be factored as (x+4)^2.
If it also has a simple zero at 3, then the factorization must include (x-3).
Therefore, the polynomial function with these zeros is :-
f(x) = (x+4)^2(x-3)
This polynomial has a double zero at -4, because $(x+4)^2$ has a zero of order 2 at -4, and a simple zero at 3, because $(x-3)$ has a zero of order 1 at 3.
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PLEASE HELP!!! 40 points.
Answer:
D. 7/5
Step-by-step explanation:
In right triangle ABC with right angle C,
sinA = 4/5 = cosB
cosA = 3/5 = sinB
sinB + cosB = 3/5 + 4/5 = 7/5
Decrease R450 in the ratio 9:8
The value of R500 decrease to ratio 9:8 is x = 400.
What is cross multiplication?By using the cross multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa. Using the mathematical rule of three, we may determine the answer based on proportions. The best illustration is cross multiplication, where we may write in a percentage to determine the values of unknown variables.
Given that, decrease R450 in the ratio 9:8.
Let 9 = 450
Then 8 will have the value = x.
That is,
9 = 450
8 = x
Using cross multiplication we have:
9x = 450(8)
x = 50(8)
x = 400
Hence, the value of R500 decrease to ratio 9:8 is x = 400.
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Consider the line segment AB
shown. Which of the following
locations for point C makes ABC a right triangle with hypotenuse AB?
A - C(7,9)
B - C(1,4)
C - C(2,3)
D - C(8,7)
Consider the line segment AB shown the locations for point C makes ABC a right triangle with hypotenuse AB
C - C(2,3)How to find point C with hypotenuse ABIn a coordinate pair the points are as represented as (x, y).
The point that forms the right triangle is located by tracing the point on the x axis of of the point A and the point on the y axis of the point B. This is done below
A (2, 1) point on x axis here is 2B (9, 3) point on y axis here is 3therefore we can say that the point C that forms the right triangle is
C (2, 3)
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A bag has 4 blue marbles, 3 green marbles, and 5 red
marbles. You select 2 marbles one at a time without
replacement.
Determine the probability the first marble is blue and
the second marble is green Round your answer to
the hundredths place.
The probability of selecting a blue marble on the first draw and a green marble on the second draw is 0.09.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
There are 12 marbles in total in the bag, so the probability of selecting a blue marble on the first draw is 4/12.
After the first marble is drawn, there are 11 marbles left in the bag, so the probability of selecting a green marble on the second draw, given that the first marble was blue and has already been removed, is 3/11.
To determine the probability of both events occurring together, we multiply the probabilities. Therefore, the probability of selecting a blue marble on the first draw and a green marble on the second draw is:
(4/12) * (3/11) = 0.0909
Rounding to the hundredth place, the probability is approximately 0.09.
Therefore, the probability of selecting a blue marble on the first draw and a green marble on the second draw is 0.09.
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NEED HELP ASAP 10 PONTS!!! please help me find the area and the perimeter!!!! i beg you at this point.
Answer: Area = 113.14 ft sq. Perimeter =
Step-by-step explanation:
break down the figure and solve area and perimeter for each
triangle = A = 1/2bh
A = 1/2 (8) (6)
A = 24 ft sq.
square = A = LW
A = (8) (8)
A = 64 ft sq
semi circle = A = 1/2 TT r^2
A = 1/2 (3.14) (4)^2
A = 1/2 (3.14) (16)
A = approximately 25.14 ft sq
rounded to hundredths
total AREA = 24 + 64 + 25.14 = 113.14
now we can find perimeter by breaking down the figures again
triangle
we know one leg is 6 ft and the other is 8 ft
we need to find the hypoteneuse using Pythagorean theorem.
a^2 + b^2 = c^2
6^2 = 8^2 = c^2
36 + 64 = c^2
100 = c^2
√100 = √c^2
10 ft = c
square
given two sides are 8ft and 8ft
semi circle - P is the same as circumference
P = ( 1/2 ) 2 π r
P = (1/2) (2) (3.14) (4)
P = 12.56
total PERIMETER = 12.56 + 8 + 8 + 6 + 10 = 44.56 ft
i attached a print screen showing my breakdowns
