STRUCTURE Find the values of x, y, and z.
In simplest radical form

STRUCTURE Find The Values Of X, Y, And Z.In Simplest Radical Form

Answers

Answer 1

Using the Pythagorean's theorem we can see that the values are.

x =  18.67

y = 21.16

z = 37.05

How to find the values of x, y, and z?

We can view some right triangles, remember Pythagorean's theorem, it says that the sum of the squares of the legs is equal to the square of the hypotenuse.

Then we can find the value of y as:

y² + 24² = 32²

y = √(32² -  24²)

y = √448 = 21.16

Now look at the triangle in the left, we can write a system of equations:

x² + 32² = z²

y² + z² = (x + 24)²

Replacing the value of y, the system becomes:

x² + 32² = z²

448 + z² = (x + 24)²

We can replace z² in the second equation by the thing we have in the first one:

448 +  x² + 32² = (x + 24)²

1,472 +   x² =   x²  + 48x + 576

Solving that for x we will get:;

1,472 - 576 = 48x

896/48 = x = 18.67

Now we can find the value of z.

z = √( 18.67² + 32²)

z = 37.05

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Related Questions

mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*

Answers

The stretch of an exponential decay function is y = 2(1/5)ˣ

Which is a stretch of an exponential decay function?

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

a = initial valueb = growth/decay factor

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Find the midpoint of the line segment with the given endpoints (0,10 ) and(-4,-6)
(2.8)
(5,-5)
(-8,-22)
(-2,2)

Answers

Answer:

(-2,2) will be the mid point

Step-by-step explanation:

let mid point be x,y

apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

Smoothies weren't cutting it so we went to Red Robin to order a burger. Our bill was $5.79. Avon has a 5.25% tax and our
waitress earned a 15% tip. What was the total bill?

Answers

Answer:

$6.96

Step-by-step explanation:

5.25% of 5.79

5.79 × 5.25/100 = $0.303975 or $0.30

15% of 5.79

5.79 × 15/100 = $0.8685 or $0.87

total

$5.79 + $0.30 + $0.87 = $6.96

In a survey of more than 6000 people are 95% of the respondents claimed to prefer Penelope‘s puffy popcorn over any other brand of popcorn. The respondents being which of the following groups of people would most likely call into question the results of the survey

Answers

Answer:

B. People who were promised free samples of Penelope‘s puffy popcorn for completing the survey

Step-by-step explanation:

This would show likely bias in the result of the survey

What value of n makes the equation true? Show your work.

What value of n makes the equation true? Show your work.

Answers

Answer:

5n

Step-by-step explanation:

(7^5 * 7^n) ^ 4   = (7^11/7^n)^3

7^(20 + 4n)   =  4.7^15 / n^3

= 20/4 = 5n   and  15/3 = 5n

Answer 5n

12c + 12 (3/4c) + 12 (1/2c) shows the total cost for buying 3 phones that each cost c dollars per month for 12 months.

Answers

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

The discount on a pack of socks is 15%. It is on sale for $17. What is the original price of the pack of socks?

Answers

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

Hello there, I need help with Angles.

Hello there, I need help with Angles.
Hello there, I need help with Angles.
Hello there, I need help with Angles.

Answers

It’s b Because it be because piano know what to tell you it’s me I just feel like it’s me

Question 6 ab and c please xx

Question 6 ab and c please xx

Answers

23 for a. 38.5 for B. You subtract 16 for all of them. Correct me if I’m wrong :)

For f(x) = 322 - x , find the value of f(-9).

Answers

Answer:

42

Step-by-step explanation:

simplify

Suppose 10% of all people are left-handed. If 450 people are selected at random, what is the expected number of left-handed people in the sample?

Answers

The expected number of left-handed people in the sample= 45

Calculation of total number of left-handed

The number of people selected at random= 450

The percentage of people that are left-handed =10%

Therefore, the number of people that are left-handed,

= 10/100 * 450

= 4500/100

= 45

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Can someone please give me the answer​

Can someone please give me the answer

Answers

Answer:

6/10

Step-by-step explanation:

30/50=3/5

3/5=3/5

15/25=3/5

3/5*2/2=6/10

how do I solve for x in this equation: 8(x-3)+7=2x(4-7)

Answers

Answer:

  x = 17/14 = 1 3/14

Step-by-step explanation:

You want the value of x in 8(x-3)+7=2x(4-7).

Solution

It often works well to simplify the equation first.

  8x -24 +7 = 2x(-3) . . . . . use the distributive property

  14x -17 = 0 . . . . . . . . add 6x

  x -17/14 = 0 . . . . . . divide by 14

  x = 17/14 = 1 3/14

Write the equation of the line in slope intercept form that has slope -2 and passes through point (20, -42). *

Answers

y=-2x-2

y+42 = -2 (x-20)
y+42 = -2x + 40
y+42-42 = -2x +40 -42
y = -2x -2

The price went down by 15%, and went 340 money. What was the previous price? ASAPP PLSS

Answers

The previous price given the percentage decrease is 400.

How to find the previous price?

It follows from the task content that the previous price of the commodity is required;

let, x = previous price

New price = 340

Percentage decrease = 15%

Hence, it follows from the given information that;

340 = x - (15% × x)

340 = x - (0.15x)

340 = 0.85x

x = 340/0.85

x = 400

Therefore, the previous price given the percentage decrease is 400.

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f(x)=-4x^2+10 Find f(-2)

f(x)=-4x^2+10 Find f(-2)

Answers

-6 ,, replace x with -2

-4(-2)^2+10

answer:

-6

what is the absolute value of negative 2?

Answers

Answer:

2

Step-by-step explanation:

absolute value is the distance from zero on a number line

Answer:

2 lol

Step-by-step explanation:

the absolute value of anything negative is always the same thing but positive

unless given a reason to not be

Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)

Answers

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

PLS HELP ME WILL GIVE BRAINLIEST

PLS HELP ME WILL GIVE BRAINLIEST

Answers

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Please graph the equations correctly and explain how u did it each equation is a different graph so I should have three different graphs thank you ANSWER QUICK NEED HELP FAST NEED TO TURN IT IN HURRY

Please graph the equations correctly and explain how u did it each equation is a different graph so I

Answers

Graph from equations can easily be made using slope-intercept form, for y=10x, y=5x+10 and y=15x-200 which are attached in image also.

Putting each equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept, is the first step towards accurately graphing these equations. Once the equations are in this format, they are simple to plot on a graph.

The slope and y-intercept of equation #1:

y=10x, are 10 and 0, respectively. This indicates that the line has a sharp upward slope and passes through the origin (0,0). We can start at the origin and then go up 10 units for every 1 unit to the right to graph this equation. The resulting graph will be a straight line with an increasing slope that passes through the origin.

The slope and y-intercept of equation #2:

y=5x+100, are 5 and 100, respectively. This indicates that the line has a less acute upward slope than equation #1 and goes through the point (0,100). Starting at the y-intercept, we can move up 5 units for every 1 unit to the right to graph this equation. A straight line that passes through the point (0,100) and has a less acute upward slope than equation #1 will be the final graph.

The slope and y-intercept of equation #3:

y=15x-200 and respectively, 15 and -200. This indicates that the line has a greater upward slope than equation #2 and goes through the point (0,-200). Starting at the y-intercept, we can advance up 15 units for every unit to the right in order to graph this equation. The graph that results has a stronger upward slope than equation #2 and passes past the point (0,-200).

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Please graph the equations correctly and explain how u did it each equation is a different graph so I

How many solutions y= -2x -4 and y=3x plus 3

Answers

Answer:

The number of solutions is one

Step-by-step explanation:

Here, we want to get the number of solutions

since the linear equations are not the same, neither do they have the same x-variable, we can have only one solution

Which of the following pairs of correlation coefficients most closely corresponds to the observed correlations between the intelligence scores of adopted children and those of their adoptive or biological parents?
a. child-adoptive: 0.20; child-biological: 0.40
b. child-adoptive: 0.40; child-biological: 0.40
c. child-adoptive: 0.20; child-biological: 0.20
d. child-adoptive: 0.50; child-biological: 0.50

Answers

correlation coefficients most closely corresponds to the observed correlations between the intelligence scores of adopted children is a. child-adoptive: 0.20; child-biological: 0.40

Children for adoption

Adoption is the social, emotional, and legal process in which children who will not be raised by their birth parents become full and permanent legal members of another family while maintaining genetic and psychological connections to their birth family.

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Can somebody help pkease

Can somebody help pkease

Answers

Luis is paying 50$ the other two are paying 37.5

Simon bought a new laptop for $800 during the cyber monday sale. He paid $200 up front and will pay $60 a month until the balance is paid off. Fin the number of months ut will take simon to pay off his laptop?

Answers

Answer:

7 months

Step-by-step explanation:

Step one:

given data

the cost of the laptop= $800

initial payment= $200

monthly payment = $60

let the number of months be x

the expression for the situation is the function for the equation of line

y=mx+c

Step two:

the expression for the situation is

800=200+60x

solve for x

800-200=60x

400=60x

divide both sides by 60

x=400/60

x=6.7

Approximately 7 months

find parametric equations for the line segment from (-3,18,31) to (11,-4,48).

Answers

The parametric equations for the line segment from (-3, 18, 31) to (11, -4, 48) can be expressed as follows:

x(t) = -3 + (11 - (-3))t

y(t) = 18 + (-4 - 18)t

z(t) = 31 + (48 - 31)t

In these equations, t represents the parameter that varies along the line segment. By plugging in different values of t, we can obtain corresponding points on the line segment.

The x(t) equation represents the x-coordinate of the line segment, where -3 is the initial x-coordinate and (11 - (-3)) represents the change in the x-coordinate over the segment. By multiplying this change by t, we can determine the specific x-coordinate at any point along the line segment.

Similarly, the y(t) equation represents the y-coordinate, where 18 is the initial y-coordinate and (-4 - 18) represents the change in the y-coordinate. Multiplying this change by t gives us the y-coordinate at any point.

Lastly, the z(t) equation represents the z-coordinate, where 31 is the initial z-coordinate and (48 - 31) represents the change in the z-coordinate. Multiplying this change by t allows us to determine the z-coordinate at any point along the line segment.

By using these parametric equations, we can generate points that lie on the line segment connecting the given two points and describe the entire line segment in three-dimensional space.

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Find the values of x and y.
help please work has to be shown ..

Find the values of x and y.help please work has to be shown ..

Answers

Answer:

x = 7 and y = 17

Step-by-step explanation:

16x + 9x + 5 = 180 cuz they are supplementary

25x = 175

x = 7

We also know that 16x + 4y = 180

so 16(7) + 4y = 180, so 4y = 180 - 112, so 4y = 68. y = 17

hope this makes sense

find the cube root of 1728

Answers

Answer:

12

Step-by-step explanation:

simple math.

Answer:

it is 12

I don't know how to type the process

To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile?* School Distance Home 90°​

To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles

Answers

Answeri cant see the photo

Step-by-step explanation:

A 2 cm radius ball rests on a table as shown in the figure. Suppose we select the table as the reference plane, the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward. What is the y-coordinate of the ball?.

Answers

the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane

the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward can be calculated as follows:The y-coordinate of the ball = (y-coordinate of the center of the ball) - (the radius of the ball)As per the given problem, the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane.Hence, the y-coordinate of the ball = 0 - 2= -2Therefore, the y-coordinate of the ball is -2.

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determine if the following conjecture is valid. given: for the past five years, robyn has grown 2 in . every year. she is now 15 years old and is 5 ft , 4 in . tall. conclusion: robyn will be 6 ft , 2 in . tall when she's 22 years old.

Answers

The conclusion of conjuncture that robyn will be 6 ft , 2 in. tall when she has completed 22 years age is not valid. So, option(b) is right one.

We have some statement or conjectures. We have to determine the final or produced conjecture is valid or not. According to statement, In fast five years,

The growth rate of Robyn's height = 2 in. per year

But for next five years the growth rate may or may not be remain same, i.e, 2 in. every year. Now, Age of Robyn = 15 years and Height of Robyn = 5 feet, 4 in. = 64 inches ( from conversion factor, 1 ft = 16 inches)

The final statement is that she will be 6 ft , 2 in. that is 74 inches tall when she's 22 years old. After 7 years from now, the increase in her height = 2 × 7 = 14 inches

and new height = 64 inches + 14 inches

= 78 in. = 6 feet, 6 inch.

So, this is not valid conjecture.

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Complete question

determine if the following conjecture is valid. given: for the past five years, robyn has grown 2 in . every year. she is now 15 years old and is 5 ft , 4 in . tall. conclusion: robyn will be 6 ft , 2 in . tall when she's 22 years old.

a) valid

b) not valid

c) valid only if she is male

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