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4 years ago

What is the surface area of the right cone below?

Mathematics

1 answer:

Flauer [41]4 years ago

3 0

First find height using Pythagorean theorem.

$h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37$ .

Then use cone surface area formula and compute the result:

$A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}$ .

Hope this helps.

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Please help. Cleary show what the slope and y-intercept are for each problem. An explanation would be nice, but I'm not going to

Romashka-Z-Leto [24]

Answer:

7: Slope: -2/3

8: y-intercept: (0,6)

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6 0

3 years ago

Hi! Algebra two question, rational exponents.

ivanzaharov [21]

Simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Step-by-step explanation:

We need to simplify:

$\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$

For solving, we will first simplify the terms inside the exponent and then solve exponent

First Solving: $\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}$

Using the formula: $(a^2+2ab+b^2)=(a+b)^2$

$\left(x^2+8xy+16y^2\right)}.\left(x+4y\right)}\\\left((x)^2+2(x)(4y)+(4y)^2\right)}.\left(x+4y\right)}\\\left(x+4y\right)^2}.\left(x+4y\right)}$

Using exponent rule:

$a^m.a^n=a^{m+n}$

$\left(x+4y\right)^{2+1}}\\\left(x+4y\right)^3}$

Now,

$(\left(x+4y\right)^3})^{\frac{1}{3}}\\Simplifiying:\\\left(x+4y\right)}^{\frac{3}{3}}\\\left(x+4y\right)}$

So, simplifying $\left(x^2+8xy+16y^2\right)^{\frac{1}{3}}.\left(x+4y\right)^{\frac{1}{3}}$ we get $\left(x+4y\right)}$

Keywords: Solving Rational exponents:

Learn more about Solving Rational exponents at:

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4 years ago

54:17

Shtirlitz [24]

4553J
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3 years ago

Patrica can drive 36 kilometers for every 3 liters of gas she puts in the car.

Elza [17]

108 .

explanation : 36 x 3 = 108

( it’s easy multiplication )

3 0

3 years ago

A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e

aivan3 [116]

To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.

V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.

4 0

3 years ago