Find the volume of the rectangular prism shown. Be sure to include units in your answer. Round to the nearest tenth.

Mathematics

2 answers:

Elenna [48]2 years ago

4 0

Answer:124.4 in.

Step-by-step explanation:

8.2*3.7*4.1=124.394 rounded to nearest tenth = 124.4

RUDIKE [14]2 years ago

3 0

124.4 in^3 (cubed)

4.1 x 3.7 x 8.2 = 124.394

To the nearest tenth = 124.4

unit = in^3

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If MN = x+4 and DE = 3x-2, find x. (More info in pic)

algol [13]

Answer: D) 10

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Explanation:

I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.

So,

DE = 2*(MN)

3x-2 = 2*(x+4)

3x-2 = 2x+8

3x-2x = 8+2

x = 10

6 0

1 year ago

PRECALCULUS please help

sergejj [24]

Answer:

Step-by-step explanation:

$f(x) = \frac{2x + 6}{3x} \\ \\ g(x) = \frac{ \sqrt{x} - 8}{3x}$

To find ( f - g)(x) , subtract g(x) from f(x)

That's

$( f - g)(x) = \frac{2x + 6}{3x} - \frac{ \sqrt{x} - 8}{3x}$

Since they have a common denominator that's 3x we can subtract them directly

That's

$\frac{2x + 6}{3x} - \frac{ \sqrt{x} - 8}{3x} = \frac{2x + 6 - ( \sqrt{x} - 8) }{3x} \\ = \frac{2x + 6 - \sqrt{x} + 8 }{3x} \\ = \frac{2x - \sqrt{x} + 6 + 8 }{3x}$