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Lera25 [3.4K]
3 years ago
8

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

Step-by-step explanation: 60/6=10

66/6=11

60/3=20

66/3=22 you double the numbers of the quotient which halves the factor.

4 0
3 years ago
True or False? 92x - x = 92
maksim [4K]

Answer: False

Step-by-step explanation: 92x-x would be 91x.

8 0
3 years ago
Read 2 more answers
Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has
ki77a [65]

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^\frac{1}{2} = \frac{5}{6}

Now

ratio of volume = (ratio of side)^3 =  \frac{5^{3}}{6^{3}} = 125 : 216

Based on the above information, the calculation is as follows

\frac{125}{216} = \frac{250}{x}

So,

x = \frac{250 \times 216}{125}

= 432m^3

5 0
3 years ago
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