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larisa86 [58]
4 years ago
15

alex needs to buy compressed air to fill 5 empty cylindrical tanks for his store. each tank is 12 feet deep and has a radius of

6 feet what is the volume of compressed air needed?
Mathematics
1 answer:
Yanka [14]4 years ago
4 0
Volume of a cylinder = the area of the base x height of the cylinder
Area of base = \pir^2
A = 6^2(\pi)
A = 36\pi
V = 36\pi x 12
V = 432\pi

5 cylinders = 5V

5V = 5 x (432\pi)
5V = 2160\pi

Final answer: Alex needs to buy 2160\pi or 6785.84 cubic feet worth of compressed air to fill all of the cylindrical tanks.
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Answer:

(-5, 3)

Step-by-step explanation:

Let O(x, y) be the centroid of the triangle.

The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.

The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.

For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:

x=\frac{3 + (-7)+(-11)}{3}=-5\\\\y=\frac{-3 + 9 + 3}{3} =3

The centroid is at (-5, 3)

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3 years ago
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3 years ago
Olive flipped a coin and rolled a number cube with the numbers 1-6 on it.What is the probability that she flipped heads and roll
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The probability that Olive flips heads and rolls an even number is 3/12 or 1/4.

These events are known as independent events which means the result of one event will not affect the other. The find the probability of the two events, you must multiply the probability of flipping heads and rolling an even number on a number cube.

1/2 x 3/6 = 3/12 OR 1/4 :)
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Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a numb
just olya [345]

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let a be a number.

When we multiply a number by 10:

a \times 10 = 10 a (One '0' is increased in the number)

For example:

23 \times 10 = 230

Considering a decimal number:

2.3 \times 10 = 23

Multiplying a number with 0.1 (which is actually \frac{1}{10}) means dividing the number by 10.

23\times 0.1 =23\times \frac{1}{10}=2.3

Considering a decimal number:

2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23

<em>Therefore, When multiplying a number by 0.1, move the decimal to the left.</em>

6 0
4 years ago
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A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orde
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Answer:

1,816,214,400 batting orders are possible.

Step-by-step explanation:

The order is important.

Suppose we had a two player batting order.

A batting order of Jonathan Schoop and Manny Machado is a different order than Manny Machado and Jonathan Schoop. So we use the permutations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orders are possible?

Selection of 9 players from a set of 15 players. So

P_{15,9} = \frac{15!}{(15-9)!} = \frac{15!}{6!} = 1816214400

1,816,214,400 batting orders are possible.

4 0
3 years ago
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