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3 years ago

12

Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Em

ma can jump. Manny
can jump 40 inches. How far can Emma jump?

1 answer:

adell [148]3 years ago

5 0

Answer:

50inches

Step-by-step explanation:

Let x be the height Emma can jump

(4/5)×x=40

x=(5/4)×40

x=50

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he Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 1.5 times its heigh

tatiyna

Answer:

5.54 feet.

Step-by-step explanation:

Let h be the height of the pool and r be the radius of the pool.

We have been given that volume of cylindrical pool in Sunny Days Apartment building is 1200 cubic feet.

We have been given that the radius of the pool is 1.5 times its height. We can represent this information in an equation as:

$r=1.5*h...(1)$

$\text{Volume of cylinder}=\pi r^2h$

Substituting equation (1) in volume formula we will get,

$\text{Volume of cylindrical pool}=\pi (1.5h)^2*h$

Substituting the given volume of pool in formula we will get,

$1200=\pi (1.5h)^2*h$

$1200=\pi*2.25*h^2*h$

$1200=\pi*2.25*h^3$

Let us divide both sides of our equation by 2.25 pi.

$\frac{1200}{2.25\pi}=\frac{\pi*2.25*h^3}{2.25\pi}$

$169.7652726=h^3$

Let us take cube root of both sides of our equation.

$\sqrt[3]{169.7652726}=h$

$5.537=h$

$h=5.537\approx 5.54$

Therefore, the height of the pool is approximately 5.54 feet.

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3 years ago

For the function, find the x- and y-intercepts.<br> f (x) = V x +4+3<br><br> pls help

Dmitriy789 [7]

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3 years ago

Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

A = 2120.575041

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Subtraction of polynomials are done just as normal subtraction, but you can only subtract those with the same variables and exponents. This is shown below:

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3 years ago