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3 years ago

Please helpppp :)) thank you!

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

Answer: 216 $m^3$

Step-by-step explanation:

Hello! In order to find the total volume, you need to find the volume of the two rectangular prisms. Make sure to cross a line into how you will define them (check the picture to see how I defined it).

To find the volume of the first rectangular prism, multiply the three dimensions.

$8*5*3 = 120 m^3$

Now, the second rectangular prism gives you:

$6*2*8 = 96m^3$

Add the volumes of the two rectangular prisms:

$120 + 96 = 216 m^3$

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Larissa practices for a swimming tournament

scoundrel [369]

Answer:

Larissa takes 59.141 seconds to complete both laps.

Step-by-step explanation:

The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) <em>She completes her first lap in 31.135 seconds</em>:

$x_{1} = 31.135\,s$

(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:

$x_{2} = x_{1}-3.129\,s$

$x_{2} = 31.135\,s - 3.129\,s$

$x_{2} = 28.006\,s$

Then, the time taken by Larissa to complete both laps is:

$\Delta x = x_{1} + x_{2}$

$\Delta x = 31.135\,s+28.006\,s$

$\Delta x = 59.141\,s$

Larissa takes 59.141 seconds to complete both laps.

4 0

4 years ago

In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t

love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12. Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0

3 years ago

What is the least common factor of 60,66

Ilia_Sergeevich [38]

Answer:3