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stira [4]
3 years ago
5

Solving proportions

d="TexFormula1" title=" \frac{1\3}{5} = \frac{a}{20} " alt=" \frac{1\3}{5} = \frac{a}{20} " align="absmiddle" class="latex-formula">​

Mathematics
1 answer:
Olegator [25]3 years ago
8 0

Answer:

a = 4/3

Step-by-step explanation:

1/3       a

----- = -----

5        20

Using cross products

1/3 * 20   = 5a

20/3 = 5a

Divide each side by 5

20/3 * 1/5 = 5a/5

4/3 = a

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Identify the volume of the composite figure, rounded to the nearest tenth. PLEASE HELP!!!
Anni [7]

Answer:

The volume of the composite figure is:

  • <u>312 ft^3</u>

Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

  • Volume of a cube = base * height * width

So:

  • Volume of a cube = 6 ft * 6 ft * 6 ft
  • <u>Volume of a cube = 216 ft^3 </u>

<em>VOLUME OF THE PYRAMID. </em>

The volume of a pyramid with a square base is:

  • Volume of a pyramid = 1/3 B * h

Where:

<em>B = area of the base. </em>

<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

  • Volume of a pyramid = 1/3 36 ft^2 * 8 ft
  • <u>Volume of a pyramid = 96 ft^3 </u>

Finally, we add the volumes found:

  • Volume of the composite figure = 216 ft^3 + 96 ft^3
  • <u>Volume of the composite figure = 312 ft^3</u>
5 0
3 years ago
What is the square root of -6.76
mojhsa [17]

Answer:

2.6i

Step-by-step explanation:

undo the - by making it:  √-6.76= √6.76 x  √-1

then,  √-1 would be converted to imaginary number -> i

now rewrite it as  √6.76 x i or i√6.76 which is the same as the squareroot of 6.76 which is 2.6 times i.

Then just write your final answer as 2.6i

5 0
3 years ago
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Is 54 divided by 6 equal 0.09
Thepotemich [5.8K]
No the answer is 9 because 54 divided by 9 is 9
4 0
3 years ago
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Olegator [25]

Answer:

4/-2

Step-by-step explanation:

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4 0
3 years ago
X^2-10x+8=0 by completing the square
OverLord2011 [107]
When completing the square <span>x=9.12311 and </span><span>x=<span>0.876894</span></span>
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