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2 years ago

Find the length of the radius of a sphere with a surface area of 60.82 m^2.

1 answer:

5 0

Surface area of sphere =60.82m^2
4pi×r^2=60.82
4×22×r^2/7=60.82
r^2=60.82×7/22×4
r^2=425.74/88
r^2=4.83
r=2.19
or r=2.2m

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Find the volume of a pyramid with a square base, where the side length of the base is

irina [24]

The volume of the pyramid is 167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = $\frac{1}{3}$ ×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid = $\frac{1}{3}$ ×l²×h

= $\frac{1}{3}$ ×8.3²×7.3 cube inch = 167.6 cube inch (approx)

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3 years ago

A video game that is $54.99 how much is the sales tax on the game and what is the price including taxes

Mamont248 [21]

The sales tax depends on which state you live in. For example, in Texas, the sales tax is 8.14%. Therefore the game would be $59.47.

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3 years ago

Please help me factor this!! Thanks!

Goryan [66]

We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4

6 + 4 = 10
6*4 = 24

So we can break up the 10ab into 6ab+4ab and then use factor by grouping

a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
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Therefore, the original expression factors completely to (a+4b)(a+6b)

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2 years ago

P and a are on points on the line 4x+2y=8. What are the coordinates?

KATRIN_1 [288]

(0, 4) and (2, 0) are the coordinates

8 0

2 years ago

Read 2 more answers

An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p

Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Defensive Lineman:

3 from a set of 8. So

$C_{8,3} = \frac{8!}{3!5!} = 56$

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0

3 years ago