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2 years ago

If the diagonal of the square is 13 units long, how long is each side of the square to the nearest tenth?

Mathematics

2 answers:

dolphi86 [110]2 years ago

7 0

Answer:

sqrt. of 84.5

FinnZ [79.3K]2 years ago

3 0

Answer:

9.2

Step-by-step explanation:

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The value of ln e^4 is 4 so the answer is D 4 P.S i know its right i just took the test

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AlekseyPX

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D. 220.16 Square feet

Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is $A=\pi r^{2}$ . So we fill in this equation with the information we already know:

$A=\pi 16^{2}$

$A=3.14*16^{2}$ Simplify the exponents

$A=3.14*256$ Multiply

$A=803.84$

So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple $32*32$ which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.

1024-803.94= 220.16 square feet

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8/9 of the course are males.

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2 years ago

Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

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2 years ago