The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.

The Given Lengths Are Two Sides Of A Right Triangle. All Three Side Lengths Of The Triangle Are Integers,

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Answer 1

Answer:

C) 92, leg

Step-by-step explanation:

a² + 28² = 96²     *the hypotenuse is always the longest side

a² + 784 = 9216

a² = 8432

a = √8432

'a' is approximately 92, and is a leg


Related Questions

Which statement describes why the system has two solutions?

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The graph intersects on the x axis

multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4​

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Answer!4x² + 3x + 4Solution!

__________________________

Step 1: Combine 3x² and 1x² to get 4x²

Step 2: Combine 5x and -2x to get 3x

3x² + 5x + 1 × x² - 2x + 4

= 4x² + 5x - 2x + 4= 4x² + 3x + 4

___________________________

Please help I’ll give brainliest

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Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

Measurement questions please help

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Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

How do I find RS? I've been having great trouble with questions like this recently.

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RS = 5

To find the value of RS, you first have to solve for the variable x.

To do this you solve the equation of 2x - 6 + 1 + x - 4 = 18. You get this equation by adding all the values of the line PS together, equaling them to 18, because these lines have the same value.

Solving this equation gives you x = 9.

You then substitute 9 into x - 4.

9 - 4 = 5.

This gives you RS = 5

Answer:

5

Step-by-step explanation:

We can solve by solving for x

2x-6 + 1 + x-4 = 18

3x-9=18

3x=27

x=9

Plug in 9 for x in Segment RS and you get (9) - 4 = 5

Hope this Helps!

Please Mark Me Brainliest!

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6
(
f
+
4
)
+
2
(
f
+
4
)

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6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

Answer:

8 f + 32

Step-by-step explanation:

6 ( f + 4 ) + 2 ( f + 4 )

Distribute

6 × f + 6 × 4 + 2 × f + 2 × 8

6 f + 24 + 2f + 8

Collect like terms

6 f + 2 f + 24 + 8

Add the numbers

8 f + 32

If f(x) = 3x + 2, what is f(5)?

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Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x=5

f(5) = 3*5 + 2

Multiply first

    = 15+2

Then add

    = 17

The answer is 17 your welcome

What is the correct ratio of each rational root of the polynomial Function

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Answer:

factor of 6 and 5

Step-by-step explanation:

Please help me i would give more points but i dont have much (Giving brainlest)

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5.3x - 8.14 + 3.6x + 9.8

Rearrange to make it easier!

5.3x + 3.6x + 9.8 - 8.14

8.9x + 1.66

B is the answer.

Answer:

Step-by-step explanation:

First, put them in order.

5.3x+3.6x+9.8-8.14

Add 5.3x and 3.6x

8.9x

Subtract 8.14 from 9.8

1.66

The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x. ​

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Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7

Write an equation of the line that passes through the point (4,5) and has a slope of -2.

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Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

Answer:

Step-by-step explanation:

slope=-2

now using slope intercet formof equation of straight line,we get

y=mx+b

or, y=-2x + b

y + 2x =b

2x + y=b ......................   eq(i)

since the line passes through the point (4,5) it satisfies the equation (i)

y=5 and x=4 so,

equation is 2x +y =b

2*4 + 5=b

8+5=b

13=b

substituting the value of b in eq(i)

2x + y=b

2x + y=13

2x + y-13=0  is the required equation of the line.

The value of log₃⁵ x log₂₅⁹ is...

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Answer:

i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong

PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST

Answers

20 a: x = 5

20 b: x = 12

17 c: 30

Which best describes angle 3 and angle 7?

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Answer:

A) corresponding

Step-by-step explanation:

Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.

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3.1 x 22 1/2 = 69.75 rounded is 70

V = I ( R + r )
r = ?

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Answer:

r = [tex]\frac{V-IR}{I}[/tex]

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

[tex]\frac{V-IR}{I}[/tex] = r

Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61

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Answer:

61

Step-by-step explanation:

lenths is a right anglre

**PLEASE HELP THIS IS FOR A FINAL**

Please show work as well

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The answer could be 3/2 or 1/4 and I don’t know if this is right

Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45

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It increased by 50%. The original amount was 30 and it went up 15. Half of 30 is 15 so to go up 15 we increased the original amount by 50%


Write and equation for a line that is parallel to the line 4y + 3x = 12

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Answer:

y = -3/4 x + B

Step-by-step explanation:

B is the translation of the line across y-axis

ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!

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Step-by-step explanation:

everything can be found in the picture

The function f(x) is shown below.

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to

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Answer:

Step-by-step explanation:

what is the area of this rectangle?

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Answer:

24 tiles^2

Step-by-step explanation:

Length = 6

width = 4

Area = Length x width

        = 6 x 4

        = 24 tiles^2

Which integer is farthest from 0?
3
-8
-10
9

Answers

Answer:

-10

Step-by-step explanation:

i think this is the answer

Help
Help
Help
Help
Help
Help

Answers

Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚

Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?​

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Answer:

Step-by-step explanation:

Solve the system of equations.

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Step-by-step explanation:

[tex] - 6y + 11x = - 36 \\ - 4y + 7x = - 24 \\ 11x = 6y - 36 \\ x = \frac{6y - 36}{11} \\ - 4y + 7( \frac{6y - 36}{11} ) = - 24 \\ - 4y + \frac{42y}{11} - 22.91 = - 24 \\ - 4y + \frac{42y}{11} = - 1.09 \\ - 0.18182y = - 1.09 \\[/tex]

[tex] y = 5.99 = 6 \\ y = 6 \\ x = \frac{6(6) - 36}{11} \\ x = \frac{36- 36}{11} = 0[/tex]

Which one is it?
a) <
b) =
c) >

Answers

Answer:

B) =

Step-by-step explanation:

When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.

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Have a great summer :)

PLEASE HELP! Math (recursive sequences)

Answers

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

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