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andreyandreev [35.5K]
3 years ago
9

Work out the area of this circle.

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

36π mm²

Step-by-step explanation:

Formula: πr²

r=radius

r=6

π6²=36π

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What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?
jonny [76]

Answer:

\mathrm{Factor}\:4x^4-32x^3-60x^2:\quad 4x^2\left(x^2-8x-15\right)\\

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\x^4=x^2x^2\\=4x^2x^2-32xx^2-60x^2\\\mathrm{Rewrite\:}60\mathrm{\:as\:}4\cdot \:15\\\mathrm{Rewrite\:}32\mathrm{\:as\:}4\cdot \:8\\=4x^2x^2-4\cdot \:8xx^2-4\cdot \:15x^2\\\mathrm{Factor\:out\:common\:term\:}4x^2\\=4x^2\left(x^2-8x-15\right)

<em>Hope this helps and have a great day!!!</em>

<em>Sofia</em>

4 0
3 years ago
Find the selling price of a $20 item after a 20% markup.
nevsk [136]

Answer:

$24

Step-by-step explanation:

For a markup, use the formula <em>a = ( 1 + p ) × w. </em>

!!! Remember, <em>a </em>is the selling price, and <em>w </em>is the original price !!!

!!! The <em>p </em>is the percent in decimal form. 20% as a decimal is 0.20 (move the decimal twice to the left) !!!

<em />

Inserting the values, it should look like <em>a = ( 1 + 0.20 ) × 20 </em>

<em>a = 1.20 × 20 </em>

<em>a = 24</em>

<em />

Hence, the new selling price is $24.

Hope this helps! :)

4 0
3 years ago
A manager at a shopping mall counts 244 males and n females as they enter the mall. The manager realizes that 25% of all males a
san4es73 [151]

Answer:

Step-by-step explanation:

The manager is not correct in her calculation.

Step-by-step explanation:

There are 244 males and n females who entered the mall as the manager at the shopping mall counts.

If 25% of all males are children, then the number of male children are .

Again, the 25% of all female are children, then the number of female chilfren are .

Therefore, the total number of children will be (60 + 0.25n).

But the manager gives the number of children to be 0.25n + 61 who entered the mall.

So, the manager is not correct in that calculation. (Answer)

5 0
2 years ago
What is 3 2/5 as a decimal
Alexxandr [17]

Answer:

Step-by-step explanation:

The answer is 3.4 as a decimal

7 0
3 years ago
Read 2 more answers
HELPP. Write the following as an algebraic expression. The sum of a and a quarter of b.
Fynjy0 [20]

Answer: a + \frac{1}{4}b

This is the same as a + \frac{b}{4}

All we're doing is adding 'a' and \frac{1}{4}b since the term "sum" is the result of adding two or more numbers.

One quarter of a number is the same as dividing by 4.

Example: one quarter of 28 = \frac{1}{4}*28 = \frac{28}{4} = 7

4 0
4 years ago
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