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3 years ago

8

What is the volume of this cone? Use 3.14 for pi and round your answer to the

1 answer:

emmasim [6.3K]3 years ago

7 0

So I use the formula hopefully these steps work

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Katrina earns $12.25 per hour plus a 12% commission on any sales she makes. In one day, she worked for 10 hours, and she made $3

netineya [11]

Answer:

$169.06

Step-by-step explanation:

$12.25 x 10 = $122.50

$388 x 0.12 = $46.56

$46.56 + $122.50 = $169.06

4 0

3 years ago

Determine the sum of the first 1000 Natural numbers

Dmitry [639]

Answer:

the sum of the first 1000 positive integers is 500500

Step-by-step explanation:

4 0

3 years ago

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What is the solution of x^2+x-6/x-7<0 PLEASE HELP ME :( (it’s not the 2nd one i already tried it)

blsea [12.9K]

Answer:

the first one $\:x\le \:-3\quad \mathrm{or}\quad \:2\le \:x$

Step-by-step explanation:

Factor $x^2+x-6$ :

Break the expression into groups

$\left(x^2-2x\right)+\left(3x-6\right)$

$\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-2x\mathrm{:\quad}$

$x\left(x-2\right)$

$\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x-6\mathrm{:\quad}$

$3\left(x-2\right)$

$x\left(x-2\right)+3\left(x-2\right)$

$\mathrm{Factor\:out\:common\:term\:}x-2$

$\left(x-2\right)\left(x+3\right)$

$\frac{\left(x-2\right)\left(x+3\right)}{x-7}\\$

$\frac{\left(x-2\right)\left(x+3\right)}{x-7}\le \:0$

$\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\frac{\left(x-2\right)\left(x+3\right)}{x-7}$

$\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:\le \:\:0$

$x$

Merge Overlapping Intervals

$x\le \:-3\quad \mathrm{or}\quad \:2\le \:x$

6 0

3 years ago

A pool measuring 10 meters by 28 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the po

mojhsa [17]

Mm im not 100% sure but im pretty sure if you take 10 + 28 and get 38 and then 760 - 38 should be the answer

Soo i think the answer should be 722 meters or whatever

7 0

3 years ago

The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x,

neonofarm [45]

Answer:

The width is: $w(x)=4x^2$

The length is $l(x)=2x^2+3x+5$

Step-by-step explanation:

The given rectangle has area given algebraically by the function:

$a(x)=8x^5+12x^3+20x^2$

The width of the rectangle is the greatest common factor of $8x^5$ , $12x^3$ and $20x^2$

That is the width is: $w(x)=4x^2$

We now divide the area by the width to obtain the length of the rectangle:

$l(x)=\frac{8x^5+12x^3+20x^2}{4x^2}$

This simplifies to:

$l(x)=\frac{8x^5}{4x^2}+\frac{12x^3}{4x^2}+\frac{20x^2}{4x^2}$

$l(x)=2x^2+3x+5$

8 0

3 years ago

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