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I am Lyosha [343]
3 years ago
15

What percent of 28 is 21

Mathematics
2 answers:
ss7ja [257]3 years ago
5 0
If we take 28 to be the 100%, what  is 21 off of it?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
28&100\\
21&p
\end{array}\implies \cfrac{28}{21}=\cfrac{100}{p}\implies p=\cfrac{21\cdot 100}{28}
Bumek [7]3 years ago
5 0
21 divided by 28 equals 7. thus is 70%
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3 years ago
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:

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5 0
3 years ago
Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.​
goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

<u>a=b+3</u>

5 0
2 years ago
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