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igomit [66]
3 years ago
12

What is the volume of a sphere with a radius of 9 inches

Mathematics
2 answers:
Effectus [21]3 years ago
7 0
Given the formula 
V=\frac{4}{3}πR³
so V=\frac{4}{3}π9³=972π
Sveta_85 [38]3 years ago
7 0

Answer: 972π in.³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.

Volume = \frac{4}{3} \pi r^{3}

Notice that our sphere has a radius of 9 inches, so we can plug a 9 in for the radius in our formula.

Volume = (\frac{4}{3}) (\pi)(9in.)^{3}

Start by simplifying the exponent. (9 in.)³ is equal to 9 inches × 9 inches × 9 inches or 729 in.³.

Volume = (\frac{4}{3})(729 in^{3})(\pi)

Notice that we can cross cancel the 3 in 4/3 and 729 to 1 and 243.

Volume = (4) (243 in³) (π)

Volume = 972π in.³

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3 years ago
Triangle ABC has vertices at A(2, 2), B(4,7), and C(6,2). Classify the triangle according to the side lengths.
zmey [24]

Answer:

Isosceles triangle

Step-by-step explanation:

Length AB

√(4 - 2)² + (7 - 2)²

√2² + 5²

√4 + 25

√29

Length AC

6 - 2 = 4

Length BC

√(6 - 4)² + (2 - 7)²

√2² + (-5)²

√4 + 25

√29

Length AB and BC is the same.

Length AC is the longest side.

Therefore, it is an isosceles triangle.

4 0
3 years ago
A mattress store received a shipment of ten mattresses. Before the shipment, it had 782 mattresses in stock. How many mattresses
Vikentia [17]

Answer:

uh 792?

Step-by-step explanation:

 782

+  10

----------

792

7 0
2 years ago
Read 2 more answers
The winner of a gymnastics competition scored a total of 22.1 points. She won by 0.676 points.
weqwewe [10]

Answer:

21.424

Step-by-step explanation:

22.1 - 0.676 = 21.424

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7 0
3 years ago
The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
Galina-37 [17]

<u>Answer:</u>

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

8 0
3 years ago
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