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I am Lyosha [343]

4 years ago

11

1 2 of the female students participate in school athletics. Of the female students who participate in school athletics, 3 8 are

on the track team. What fraction of female students are on the track team?

1 answer:

Setler79 [48]4 years ago

6 0

I am still unable to answer this

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What is the area of the triangle?<br> 20<br> 16<br> 12<br> units

Bingel [31]

Answer:

3840

Step-by-step explanation:

Hope this helps you out

5 0

4 years ago

A circle has an area of 49 cm^2. how do I find the circumference?

Mashcka [7]

Answer:

28.81cm

Step-by-step explanation:

c=2TTy

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3 years ago

Solve using substitution.<br> y = -x - 1<br> y = x + 3<br> Submit

Alex Ar [27]

Answer:

Step-by-step explanation:

-x - 1 = x + 3

-2x - 1 = 3

-2x = 4

x = -2

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(-2, 1)

4 0

3 years ago

A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex

irinina [24]

The slope of the line that passes through (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(p,a) and (p,-a)
slope=(-a-a)/(p-p)=-2a/0=undefined
means
the slope is undefined
x=something
(x,y)
(p,a)
x=p is the equation
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6 0

3 years ago

A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?

satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

$R^2=r^2+(\frac{h}{2})^2$

$r^2=R^2-(\frac{h}{2})^2$

Volume of cylinder is

$V=\pi \times r^2\times h$

$V=\pi \times (R^2-(\frac{h}{2})^2)\times h$

$V=\pi (R^2\cdot h-\frac{h^3}{4})$

differentiate V w.r.t to h we get

$\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})$

Putting $\frac{\mathrm{d} V}{\mathrm{d} h}$ to get maxima/minima

$R^2=\frac{3h^2}{4}$

$h=\frac{2R}{\sqrt{3}}$

therefore radius r is given by

$r=\sqrt{\frac{2R}{3}}$

therefore volume is given by

$V=\frac{4}{3\sqrt{3}}\pi R^3$

5 0

3 years ago