Answer:
See attachment.
Step-by-step explanation:
Step 1
Draw a 5 cm horizontal line.
Label the endpoints of the line Q and R.
Step 2
Use a protractor and measure an angle of 80° counterclockwise from point Q.
Draw a 7 cm straight line from point Q at the angle of 80°.
Label the endpoint of this line P.
Step 3
Join points P and R with a straight line.
Solve for x. Round to the nearest tenth of a degree, if necessary
!HURRY PLEASE ITS DUE IN AN HOUR!
The measure of the angle x would be 30.26°.
What are inverse trigonometric functions?
Inverse trigonometric functions are functions that "undo" the action of the trigonometric functions. They allow us to find the angles of a right triangle given the values of the sides, or to find the values of the sides given the angles.
In the given triangle, by using sine ratio we can write
sin(x°) = BC/AC
[tex]sin(x^o)=39/74\\\\x^o=sin^{-1} \frac{39}{74}\\\\x^o=sin^{-1}{0.5270}\\\\x^o=30.26^o[/tex]
Hence, the measure of the angle x would be 30.26°.
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Are the two triangles congruent? If so, write the congruence statement.
△KML is congruent to △QNP (△KML ≅ △QNP) under SSA conditions.
What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
They are in alignment with one another when moved.
If two triangles meet all 5 requirements for congruence, then they are congruent.
They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) (RHS).
So, in the given triangle:
Prove that: △KML ≅ △QNP
∠L = ∠P = 90° (Equal: Given)
ML = QP = 12 units (Equal: Given)
Mk = QN = 15 units (Equal: Given)
So, △KML ≅ △QNP is under SSA condition.
Therefore, △KML is congruent to △QNP (△KML ≅ △QNP) under SSA conditions.
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Juan borrowed $2000 for 1 year and
paid 15% interest. How much
interest did he pay in a year?
Answer:At the rate of 15% the amount of interest on $2000
Step-by-step explanation:
simple amount= Principle(1+rt)
where r= rate of inetrest
t= time
principal is initial amount
therefore, amount=2000(1+15*1)
Amount = $2,300.00
Interest = Amount - Principal = $300.00
Answer:
Step-by-step explanation:
Interest = Principle * Rate * Time /100
Principle = $2000
Rate = 15 %
Time = 1 year
I = 2000 * 15 * 1/100
I = 300
Juan has to pay $300 in a year
An isosceles triangular prism has a triangular
end with a base of 16 feet, an altitude of 6 feet,
and a side length of 10 feet. The height of the
prism is 18 feet. What is the surface area of the
prism?
a- 520
b- 850
c- 744
d- 635
An isosceles triangular prism, its surface area becomes: 568 feet²
What is an isosceles triangular prism?The faces of a polyhedron called an isosceles triangular prism are made up of polygons. It has six edges, five faces, and five vertices. Isosceles triangles make up the two portions at the base that face each other and rectangles make up the vertical faces of the five faces.
where the isosceles triangle's base has equal sides measured in "a" units, each triangle's base measured in "b" units, the triangle's height measured in "h" units, and the length of the congruent rectangles measured in "l" units.
The surface area of an isosceles triangular prism is:
Surface area = (b × h) + (2× l × a) + (l × b)
here, b = the base of each of the triangle = 16 feet
h = the height of the triangle = 18 feet
l = length of the congruent rectangles = 10 feet
a = isosceles triangle in the base have the equal sides be "a" units = 6 feet
Now, Surface area = (16 × 18) + (2 × 10 × 6) + (10 × 16)
or, Surface area = 568 feet²
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a company manufactures batteries in batches of 15 and there is a 3% rate of defects. find the mean number of defects per batch. group of answer choices
0.45 will be the mean number of defects per batch.
Given,
The number of batches of batteries manufactured by a company = 15
The rate of defects in the batteries = 3%
We have to find the mean number of defects per batch;
Defects per Unit (DPU)
The average number of defects per unit of a product is measured by DPU. It can be calculated by dividing the overall number of flaws by the quantity of units. For instance, the DPU is equal to 2 if 30 units are created and a total of 60 flaws are discovered.
Here,
The mean number of defects per batch = Number of batches × Rate of defects
Mean number of defects = 15 × 3/100 = 0.45
That is,
The mean number of defects per batch is 0.45
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Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Hailey decides to leave a tip of 24% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.
The expression in terms of xx that represents the total amount that Hailey paid is (2912/625)xx .
What is business Mathematics?
Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.
According to Question:
let the the subtotal on the bill was xx dollars
A tax of 8% is added on bill then Bill becomes xx + 8% of xx
The of 8% on bill = (108/100)xx
Now the Final bill = xx + (108/100)xx
= (208/100)xx
Hailey decides to leave a tip of 24% on the entire bill (including the tax)
So the Total Amount = (208/100)xx + 24% of Final bills
⇒
24% of (208/100)xx = (208/100)(124/100)xx
The Total amount = (208/100)xx +(208/100)(124/100)xx
Let the Amount be A
hence, expression in terms of xx that represents the total amount that Hailey paid is A = (208/100)xx +(208/100)(124/100)xx
⇒ A = (52/25)xx +(52/25)(31/25)xx
⇒ 625A = 625((52/25)xx +(52/25)(31/25)xx)
⇒ 625A = 1300xx + 1612xx
⇒ 625A = 2912xx
⇒ A = (2912/625)xx
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Please I need some help quickly, thank you <3
A triangle has vertices (0,0), (2,4), and (5,1). What are the coordinates of the circumcenter?, or the same triangle with vertices (0,0), (2,4), and (5,1), what are the coordinates of the orthocenter?
Answer:
[tex]Circumcenter =(2,333, 1.3333) \;or\; \left(2\dfrac{1}{3}, 1\dfrac{1}{3}\right)[/tex]
[tex]Orthocenter = (2.3333, 2.3333) \;or\;\left(2\dfrac{1}{3},2\dfrac{1}{3}\right)[/tex]
Step-by-step explanation:
2/5 divided by 3/8 as a fraction
Multiply. Do not round your answer.
7.63 x 19 =
Answer:
144.97
Step-by-step explanation:
First, write the problem as an equation : P% × Y = X
Here, P is 7.63, Y is 19, so the equation to solve is 7.63% × 19 = X
Convert 7.63% to fraction
To convert a percent to a fraction, just remove the percent sign and divide the given number by 100
7.63% = 7.63/100
Substitute 7.63/100 instead of 7.63% in the above equation, then 7.63% × 19 = X becomes 7.63/100 × 19 = X
Solve for X:
X = 7.63/100 × 19
X = (7.63×19)/100
x = 144.97/100 = 1.45
Therefore, 7.63% of 19 is 1.45
In the given case we can conclude that when, 7.63 multiplied by 19 equals 145.97.
To multiply 7.63 by 19, we can use the standard method of multiplication. Step 1: Write the numbers vertically, with the larger number on top: 7.63 x 19 Step 2: Start by multiplying the ones place digit (3) of the bottom number (19) by each digit of the top number (7.63). 3 * 7.63 = 22.89 Step 3: Write down the result below the line, making sure to align the decimal point: 22.89
Step 4: Next, multiply the tens place digit (1) of the bottom number (19) by each digit of the top number (7.63). 1 * 7.63 = 7.63 Step 5: Write down the result, shifting it one place to the left: 7.63 22.89 ------ 145.97 Step 6: Finally, add the two partial products together to get the final answer: 22.89 +145.97 ------- 145.97 Therefore, 7.63 multiplied by 19 equals 145.97.
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Write "less" or "greater" in the blank.
972 is
than 792
Answer:
greater
Step-by-step explanation:
972 is a higher number than 792 so the answer is greater
Answer:
972 is greater than 792
Step-by-step explanation:
972 > 792
q1.2: what power of 2 is the smallest representable positive normalized number? submit the exponent only.
The smallest representable positive number is 2149, or roughly 1.4*10-45.
Lets take a 32-bit floating point integer (IEEE 754) with the following bits,
0-22 for the mantissa (23 bits), 23-30 for the exponent ( 8 bits), and 31 for the sign (1bit)
The decimal counterpart of this expression would be if we put all zeros in the mantissa and all ones in the exponent.
The way of representing huge numbers in terms of powers is known as an exponent.
Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.
The exponent is represented by the symbol ^ . This symbol is known as a carrot . As an illustration, 4 raised to 2 can be expressed as 4^2 .
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An oven is heating to 325 degrees. It is currently at 75 degrees and heats 23 degrees
per minute. Write an equation for this situation. Then, solve it to find how many more
minutes it takes for the oven to reach 325 degrees.
Answer:
It will take about 11 more minutes for the oven to reach 352 degrees
Step-by-step explanation:
The rate at which the oven heats up is 23 degrees per minute. Will let "x" represent the amount of minutes it will take:
23x
The oven is already at 75 degrees, so we will add this piece of information to the rate:
23x + 75
The final value is 325:
23x + 75 = 325
Now to solve for x or the remaining minutes
23x + 75 = 325
23x = 250
x = 10.86 ≈ 11
At generic Middle school 6 students were sick with the flu on the first week of school. During the second week 10 students were sick and on the third week there were 15 students sick. The attendance clerk noticed that the number of students getting sick was growing exponentially with a growth factor of ‘1.6. Week#1(6) Week#2(10) Week#3(15). If the model continues to be correct for at least the first 3 months how many would be sick on the 12th week of school. Someone please give me a written explanation for this
If the model is true, there would be around 1689 students sick during the 12th week of classes.
The number of students getting sick was growing exponentially with a growth factor of ‘1.6.
Week 1 : (6)
Week 2 : (10)
Week 3 : (15).
To find the number of students sick on the 12th week of school, we can use the formula for exponential growth:
y = a bˣ
Where:
y is the number of students sick on the x th week
a is the number of students sick on the first week (6 in this case)
b is the growth factor (1.6 in this case)
x is the number of weeks that have passed (12 in this case)
Plugging in the values, we get:
y = 6 · 1.6¹²
Solving for y, we get:
y = 6 · 281.47
y = 1688.8 ≈ 1689
Therefore, there would be approximately 1689 students sick on the 12th week of school if the model is correct.
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write the equation of a parabola whose vertex is (-3,4) and passes through: (2,8). Put in vertex form.
The equation of the parabola that has a vertex (-3,4) and passes through (2,8) is 25y = 4x² + 24x + 13.
What is parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the DirectX and focus, respectively.
Given:
The vertex = (-3, 4) and the point = (2, 8)
Write the equation using the standard form given below,
[tex]y = a (x - h)^2 + k[/tex]
y = a[x - (-3)]² + 4
y = a(x + 3)² + 4
Now put the coordinates,
8 = a (2 + 3)² + 4
8 = 25a + 4
a = 4 / 25
Put the value of a in the above equation,
y = 4/25 × (x + 3)² + 4
25y = 4 (x² + 9 +6x) + 100
25y = 4x² + 36 +24x + 100
25y = 4x² + 24x + 13
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Please help! Division of Polynomials, Find the quotient and remainder.
First:
Quotient: [tex]2x^{2} -11x+58[/tex]
Remainder: [tex]-294[/tex]
Second:
Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]
Remainder: [tex]422[/tex]
Third:
Quotient: [tex]2x-3[/tex]
Remainder: [tex]12[/tex]
there are 97 men and 3 women in an organization. a simple random sample of 5 people is taken to form a committee. what is the probability that the committee includes all 3 women?
The probability that the committee includes all 3 women is 0.00018
In this question, we have been given there are 97 men and 3 women in an organization.
A simple random sample of 5 people is taken to form a committee.
We need to find the probability that the committee includes all 3 women.
Total number of people in the organization: 97 + 3 = 100
Usinng combination formula the possible number of 5 people committee:
100C5
= 100! / 5!(100 - 5)!
= 75287520
The number of outcomes for the committee includes all 3 women would be:
5C3 = (97C2)*3
= 13968
So, the probability that the committee includes all 3 women would be,
P = 13968 / 75287520
P = 0.00018
Therefore, the required probability is 0.00018
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What is the difference between z1 and z2, and where is the difference located? difference: 0 4i; location: on the real axis difference: –10 0i; location: on the real axis difference: 0 4i; location: on the imaginary axis difference: –10 0i; location: on the imaginary axis
The difference between Z₁ and Z₂ is -10 + 0i.
Z₁ - Z₂ locates on the real axis, this is solved using the concept of complex numbers.
Option b is correct.
What is complex number?Real numbers and imaginary numbers combine to form complex numbers, which have two components. Complex numbers serve as the foundation for more complex arithmetic, including algebra.
Complex numbers are those that are represented as a+ib, where a and b are actual numbers and i is an imaginary number termed a "iota." i has the value (√-1).
From the graph we can know:
Z₁ (-5,2) = -5 + 2i
Z₂ (5,2) = 5 + 2i
The difference between Z₁ and Z₂ is Z₁ - Z₂
So, Z₁ - Z₂ = (-5 + 2i) - (5 + 2i)
Z₁ - Z₂ = - 10 + 0i
Thus, Z₁ - Z₂ locates on the real axis.
Correct option is: b
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Answer:
Option B
Step-by-step explanation:
I just finished the test on edge. confirmed correct
What’s the force on an object with a mass of 10 kg and an acceleration of 4 m/s
The force on the object is 40N
What is force?Force can be described as the influence that can change the motion of an object.
It is seen as an external agent having the capability of changing a body's state of motion or rest.
It causes b in velocity of an object with mass , that is, to accelerate. Force can also be described as either a push or a pull.
It is described as a vector quantity, that is, it has both magnitude and direction.
The formula for determining force is given as;
F = ma
Where;
f is the force on the objectm is the massa is the accelerationSubstitute the values
F = 10(4)
F = 40N
Hence, the value is 40N
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Solve for x
O4
O5
O-10
O12
Answer:
x = 5
Step-by-step explanation:
Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x
Let’s simplify this equation:
25x + 5 =26x
-25x -25x
5 = x
Therefore, x = 5.
Please help, I will give u 20 points and I will choose u as the brainlyest answer. ( only if you get it right)
The missing factor for A in the model is 3/4
The missing factor for B in the model is 1/5The factor pair is 3/20How to determine the missing factor for A?From the question, we have the following parameters that can be used in our computation:
Length of column A = 4
Shaded region in column A = 3
This means that
The missing factor = Shaded region/Length of column A
Substitute the known values in the above equation, so, we have the following representation
The missing factor, A = 3/4
How to determine the missing factor for B?Here, we have
Length of column B = 5
Shaded region in column B = 1
This means that
The missing factor = Shaded region/Length of column B
Substitute the known values in the above equation, so, we have the following representation
The missing factor, B = 1/5
The factor pairIn (a) and (b), we have
The missing factor, A = 3/4
The missing factor, B = 1/5
So, we have
Pair = 3/4 * 1/5
Evaluate
Pair = 3/20
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A square has sides of length 15 kilometers. What is the area?
Answer:
The area of the square is 225 square kilometres.
Step-by-step explanation:
Given;A square has sides of length 15 kilometers,Side (s) = 15 kmTo Find;Area of square.Formula;Area = (side)²So,
A = (15)² km
A = 225 km²
Thus, The area of the square is 225 square kilometres.
what is 22 divided by a number s
Answer:
22 divided by 2 is 11
Step-by-step explanation:
Mrs. Green sold of her cookies. She gave 36 of the remainder to her neighbour and kept 48 for her family. How many cookies did Mrs. Green sell?
Answer:
84
Step-by-step explanation:
Let's call the number of cookies Mrs. Green sold "x". We can then write the following equation to represent the information given in the problem:
x - 36 - 48 = 0
Solving for x, we get:
x = 36 + 48
Mrs. Green sold 36 + 48 = 84 cookies.
Tell me if this helped :)
Write the time below
Answer:4:15
Step-by-step explanation:
Answer:
4:15.
Step-by-step explanation:
The long hand (minute) is on the 3 and the short hand (hour) is past the 4. The time is 4:15.
4. Find the lengths of the sides of a triangle with vertices: (0, 0), (5, 0), (5, 12). (1 point)
O5, 12, 12
O5, 5, 12
O5, 12, 5
O5, 12, 13
The lengths of the sides of the triangle are 5, 12, and 13.
So the correct option is the last one.
How to find the lengths of the sides?Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these two points is given by the formula:
d = √( (x₁ - x₂)² + (y₁ - y₂)²)
Here we know that the vertices of our triangle are the points:
(0, 0), (5, 0), (5, 12)
And we want to find the lengths of the sides.
We can get the length of the first side using the points (0, 0), (5, 0)
d₁ = √( (0 - 5)² + (0 - 0)²) = 5
The length of the second side is: (5, 0), (5, 12).
d₂ = √( (5 - 5)² + (0 - 12)²) = 12
The length of the third is side is given by the points (5, 12) and (0, 0)
d₃ = √( (5 - 0)² + (12 - 12)²)
d₃ = √(25 + 144) = 13
Then the correct option is the last one:
5, 12, 13.
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Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 22 cards, which was 2% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:
22 X 50= 1100 cards because 100 dived by 2 = 50.
Step-by-step explanation:
Delphine found two different boxes with 50 markers in each box.
The first box had 20 red markers in it.
The second box had 35 red markers in it.
What percent of the markers were red in each box?
[middle school]
20/50*100= 40
35/50*100= 70
A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground. Find the height to which the ladder will reach the wall.
A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground, the height to which the ladder will reach the wall is 9.456 foot.
What is height?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is a term used to describe everything that may be measured vertically, high or low.
From the lowest to the highest point to the lowest point, it calculates the vertical distance. In general, it refers to a coordinate geometry object's measurement along the y-axis.
let, h = height of ladder
Given that,
length of ladder = 12 ft
angle with the ground = 52°
As we know,
sinθ = h/12
or, sin (52°) = h/12
or, 0.7880 = h/12
or, h = 9.456 foot.
the height to which the ladder will reach the wall 9.456 foot.
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Solve the equation -3.5(x-14)+9x=5.5x + 49. Which statement is true ?
Answer:
Step-by-step explanation:
Answer:
-3.5(x-14)+9x=5.5x + 49 is a TRUE statement that equals 0. It has infinite solutions.
Step-by-step explanation:
8. a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded. what is the approximate mean and standard deviation of the number of chips meeting specifications? (a) u
The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273
In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.
we need to find the approximate mean and standard deviation of the number of chips meeting specifications
Since 90% meet specifications we can say p = 0.9
So, q = 1 - p
q = 1 - 0.9
q = 0.1
here, a sample size is n = 18
So, the mean would be,
μ = np
μ = 18 * 0.9
μ = 16.2
And the standard deviation would be,
σ = √npq
σ = √(18 * 0.9 * 0.1)
σ = 1.273
Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273
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