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3 years ago

What is 5/16 written as a percent?

1 answer:

7 0

First, you divide the fraction, and then you multiply it by 100.
So you get:
$\frac{5}{16} * 100$
$0.3125 * 100$
$31.25$

So, 5/16 is 31.25%

Hope this Helps! :)

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A radio station installs a vhf radio tower that stands 1500 ft

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3 years ago

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

2 years ago

A quadrilateral whose consecutive sides measure 15, 18,15, and 18

anastassius [24]

Answer:

its a rectangle

Step-by-step explanation:

how to explain this

6 0

3 years ago

Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay

anastassius [24]

She spent $310 on the singing camp.

MY WORK:

I multiplied $86.50*20 because $86.50 is the amount she deposited for 20 months. $86.50*20=$1740.00

Then I multiplied $24.50*20 because she spent $24.50 for 20 months. $24.50*20= $490.00

Then I subtracted $1740.00-$490.00 because she spent $490 out of her bank account. $1740.00-$490.00=$1240.00

Finally, because its 1/4 of her money, I divided $1240.00 by 4. $1240 divided by 4= $310

Hope this helps!!

8 0

3 years ago