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3 years ago

The school is planting a circular garden. If the

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

The area of the circular garden is 28.3 square feet

Step-by-step explanation:

Let's recall that the area of a circle is π * r², therefore if the diameter of the circular garden is 6 feet, the area is:

Diameter = 6 feet ⇒ radius = (6/2) = 3 feet

Area of the circular garden = π * 3²

Area of the circular garden = 3.1416 * 9

Area of the circular garden = 28.2744

Area of the circular garden = 28.3 square feet

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Find the definite integral from 0 to 1/16 of arcsin(8x)/sqrt(1-64x^2)dx

kolezko [41]

$\displaystyle\int_0^{1/16}\frac{\arcsin8x}{\sqrt{1-64x^2}}\,\mathrm dx$

First let $y=8x$ , so that $\mathrm dx=\dfrac{\mathrm dy}8$ to write the integral as

$\displaystyle\frac18\int_0^{1/2}\frac{\arcsin y}{\sqrt{1-y^2}}\,\mathrm dy$

Now recall that $(\arcsin y)'=\dfrac1{\sqrt{1-y^2}}$ , so substituting $z=\arcsin y$ should do the trick. The integral then becomes

$\displaystyle\frac18\int_0^{\pi/6}z\,\mathrm dz=\frac1{16}z^2\bigg|_{z=0}^{z=\pi/6}=\frac{\pi^2}{576}$

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3 years ago

Use scientific notation to estimate the number of inches in 1,225 miles

madam [21]

First, find the number of inches
1225 Miles = 77616000 Inches

then, move the decimal to until you have a ones place. 
77616000. the decimal for this number moves to the left SEVEN places.
you end up with 7.7616000

it will look like this:

7.8 * 10^7

I rounded to the .8 because you didn't state how many significant figures, but it could easily be 7.76 * 10^7

the exponent above the 10 will tell you how many places to move. to get back to your original number, move it back to the right seven places. Of course, you would have to place hold the numbers with 0s. If it were negative, you would move the decimal the opposite way.

6 0

3 years ago

What is the height of the building pictured below if its shadow is 100 ft. long?

Evgen [1.6K]

Yeah.. baby, do the SOH CAH TOA with the hula hoop

$\bf 
sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
$

so.. hmmm we have in the picture, an angle, and two sides,
actually, is the "adjacent" side, and the "opposite"

so.. which of those ratios give us only
the angle
the adjacent side
the opposite side?

ahhha!, is Ms tangent
so $\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(42^o)=\cfrac{h}{100}$

solve for "h"

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3 years ago

What is 2.987 as a percent

dybincka [34]

Answer:

0.02987 %

Step-by-step explanation:

2.987 / 100 = 0.02987 %

3 0

3 years ago

What landmarks are located in East India?

Setler79 [48]

Answer:

Mehrangarh Fort.

Amber Fort. Located on the outskirts of Jaipur, the Amber Fort (also known as the Amer Fort) is a landmark of phenomenal beauty. ...

Jaisalmer Fort.

Step-by-step explanation:

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3 years ago