Mathematics High School

Subject : Pythagorean Theorem

For each question, solve for the length of the unknown side, as denoted by the variable. You may round your answers to the nearest tenth, if necessary. Make sure you show all steps needed to solve the problem.

For each question, solve for the length of the unknown side, as denoted by the variable. You may round your answers to the nearest tenth, if necessary. Make sure you show all steps needed to solve the problem.

Answers

Answer 1

Answer:

1) 132) 9

Step-by-step explanation:

Pythagorean Theorem: a² + b² = h²

5² + 12² = h²

h = √169

h = 13

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Related Questions

Lillian has a defined benefit plan that promises an annual retirement benefit based on 2% of her final 3-year average annual salary for each year of service. At retirement, Lillian has 15 years of service and had an average salary of $80,000 over the last 3 years. What is the amount of her annual benefit?

Answers

Answer:

the amount of her annual benefit is $24,000

Step-by-step explanation:

The computation of the amount of her annual benefit is as follows:

= Given percentage × average salary × number of years of service

= 2% × $80,000 × 15 years

= $24,000

Hence, the amount of her annual benefit is $24,000

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Based on the information given the amount of her annual benefit is $24,000.

Using this formula

Annual benefit= Annual retirement benefit percentage × Average salary × Years of service

Where:

Annual retirement benefit percentage=2% or 0.02

Average salary=$80,000

Years of service=15 years

Let plug in the formula

Annual benefit= 0.02 × $80,000 × 15 years

Annual benefit=$24,000

Inconclusion the amount of her annual benefit is $24,000.

Learn more about annual benefit here:https://brainly.com/question/3265552

Shawn wants to make the perimeter of the fence in his backyard 2.5 times the size it currently is. What scale factor should he use to dilate the dimensions of the fence? a. Scale factor of 2.5 b. Scale factor of 5 c. Scale factor of 6.25 d. Scale factor of 3

Answers

Answer:

a scale factor of 2.5

Step-by-step explanation:

if this was area, you would square. Therfore if it is only perimeter so you only have to multiply by the same number

z= 77-27.8i
what are the real and imaginary parts of z

Answers

Answer:

49.19

Step-by-step explanation:

simple

Answer:

b on khan

Step-by-step explanation:

How many teaspoons of chili powder
would there be if there were 20
teaspoons of cumin?

Answers

Answer:

there would be 20 tsp of chillie powder for 5 tsp of cumin

Step-by-step explanation:

4 tsps of chilliw per 1 tsp for cumin

IM SO CONFUSED!! Plz Help, I will mark brainliest to whoever completes the table correctly!!

Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)

2

3

4

5

6

Answers

Answer:

f(2) = 15.5

f(3) = 18

f(4) = 20.5

f(5) = 23

f(6) = 25.5

g(2) = 64

g(3) = 96

g(4) = 128

g(5) = 160

g(6) = 192

Step-by-step explanation:

plug it all in to the equations

Answer:

i took the test and heres what i got

Step-by-step explanation:

help pls!! i will give brainliest

Answers

Answer:

It is linear because there's a constant change in both x and y

Step-by-step explanation:

There is a constant change in x: +3

There is a constant change in y: -2

Therefore, the slope is -3/2, making the function linear.

At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?

Answers

Answer:

- 1625

Step-by-step explanation:

420 times 4 = 1680

1624 - 1680 = -56

-56 - 600 - 1000 = -1625

BRAINLIEST PLEASE

1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.

Answers

Answer:

-47 Feet

Step-by-step explanation:

He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.

Which statement correctly describes the expression (–12)7

Answers

Answer:

answer #n

Step-by-step explanation:

we cant see the options

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

help plzzzzzzzzzzzzzz

Answers

Answer:

A (SSS)

Step-by-step explanation:

The triangles are congruent by postulate side side side

can someone help fast

Answers

C because it’s a straight line starting at 0

Answer:

[tex]False[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]

[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]

[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]

[tex]N[/tex] [tex]O[/tex]

[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

I think that it's even because the graph is reapeted, if it's odd, it's going to be like x^3

try it on desmos

even the ends of the waves are heading the same direction(up) if its odd one will be(one up and one down) even(both up/both down)

Solve the following equation for the
variable f. f/4 = 6.
f = 10
f = 24
f = -2
f = 2

Answers

Answer:

F=24

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

4 x f/4 = 4 x 6

So f=24

Answer:

If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other.

Answers

Your Answer:

yes they will do that.

Write and solve an equation to find the number:

The perimeter of a rectangle patio is 64 feet. The length is 10 feet longer than the width.

What is the width of the patio (no units needed)

Answers

Answer:

11=w

Step-by-step explanation:

l = 10+ w

w = w

64= 2(10+w) + 2(w)

64= 20+2w +2w

64=20+4w

44=4w

11=w

The equation Y equals 15 X +30 can be used to model the earnings of a part time employees at a local department store where X represents the number of hours worked and Y represents the total earnings is the equation to determine the hourly rate of a part time employee

Answers

Yes babcwjqkausvwbwnbx jwhwcwvg

What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?

Answers

Answer:

y=-4/3x-3

Step-by-step explanation:

The equation of the line that passes through the given point will be equal to (-4/3)x - 3.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

The given equation is,

4x + 3y = 15

And the point is (-3, 1)

3y = 15 - 4x

y = (-4/3)x + 15

The line has a slope, of -4/3.

Then, use the equation,

B = y - mx

B = 1 - (-4/3 × 3)

B = -3

So,

y = (-4/3)x - 3

To know more about Equation:

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