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4 years ago

Name the property the equation illustrates.

1 answer:

7 0

This would be the commutative property of multiplication which basically states that a * b = b * a (u can switch the order of the numbers and the answer will be the same)

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Plz help with math homework

Mkey [24]

Where is the question. though

6 0

4 years ago

Marna is playing a game where you score -5 points each time you guess the correct answer. The goal is to get the lowest score. T

Assoli18 [71]

Answer:

Marna needs to answer correctly 17 times.

Step-by-step explanation:

-5 * 17 = -85, anything lower won't work.

3 0

4 years ago

Read 2 more answers

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

Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing stateme

Morgarella [4.7K]

Answer:

angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both

Step-by-step explanation:

4 0

3 years ago

Please i need help on finding the volume

SpyIntel [72]

Answer:

Volume = 516.1425 cubic feet

Step-by-step explanation:

The pentagon base appears regular. so every side is 10 feet in length.

Now we need to figure out the area of the pentagonal base in order to find volume.

Volume V = (pentagon base area)*height

I need to find the apothem length as indicated in the drawing.

call it "a"

360/5 = 72 degrees.

36 degrees.

5/a = tan 36 , a = 5/(tan 36) = 6.88190 feet.

Area of pentagon base = 5 * (1/2)*10* a = 5*(1/2)*10* 6.88190 =172.0475 sq. ft

Area of pentagon base = =172.0475 sq. ft

V = 172.0475 * 3 = 516.1425 cubic feet

3 0

3 years ago