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2 years ago

Diameter = 24 ft Radius = ?

Mathematics

1 answer:

Lisa [10]2 years ago

4 0

Answer:

Step-by-step explanation:

R=d/2

D=2r

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

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2 years ago

Select the correct answer from the drop-down menu.

Svetllana [295]

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2 years ago

A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the

12345 [234]

The answer is A) The student failed to properly apply the distributive property.

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3 years ago

What is the answer to the question

LenKa [72]

2x = 18
--------------------
x = 18 : 2 =
x = 9
-------------------
(2*9 : 3) + 1 = 7
6 + 1 = 7

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3 years ago

Solve the equation for x 120(2x − 2) = 240

sashaice [31]

Answer:

The answer is 2

Step-by-step explanation:

To find this, follow the order of operations as laid out below.

120(2x - 2) = 240 ----> Divide both sides by 120

2x - 2 = 2 ----> Add 2 to both sides

2x = 4 ------> Divide both sides by 2

x = 2

5 0

3 years ago

Read 2 more answers