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4 years ago

What is the volume of this rectangular prism?

Mathematics

2 answers:

Sindrei [870]4 years ago

4 0

Volume = 5/3 x 3/2 x 4/5

5/3 x 3/2 = 15/6

15/6 x 4/5 = 60/30 = 2

Volume = 2 cubic units

andrezito [222]4 years ago

3 0

Answer:

<h2><em><u>The volume is 2.</u></em></h2>

This is because when you multiply the fraction what you get is 60/30. This is equal to the number of 2. So the volume is 2.

5/3 * 3/2 * 4/5

= 5*3*4 = 15*4 = 60

= 3*2*5 = 6*5 = 30

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lesya [120]

Answer: the triangles are congruent

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3 years ago

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Zanzabum

Answer: 1. infinitely many solutions

2. no solution

3. one solution

4. no solution

5. infinitely many solutions

Step-by-step explanation:

1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows

2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.

3. one solution - which is when one variable equals one number

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3 years ago

Please show work. thank you!

ioda

Answer:

$\large\boxed{h=\dfrac{\sqrt{703}}{2}ft\approx13.26ft}$

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=\dfrac{9}{2}ft\\\\hypotenuse=14ft\\\\leg=h$

Substitute:

$\left(\dfrac{9}{2}\right)^2+h^2=14^2$

$\dfrac{81}{4}+h^2=196$ <em>multiply both sides by 4</em>

$81+4h^2=784$ <em>subtract 81 from both sides</em>

$4h^2=703$ <em>divide both sides by 4</em>

$h^2=\dfrac{703}{4}\to h=\sqrt{\dfrac{703}{4}}\\\\h=\dfrac{\sqrt{703}}{\sqrt4}\\\\h=\dfrac{\sqrt{703}}{2}\\\\h\approx13.26$

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4 years ago

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