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Vaselesa [24]
3 years ago
12

What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

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The area of a triangle is 80x^5y^3. The height of the triangle is x^4y. What is the length of the base of the triangle?
svetoff [14.1K]
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
         160x∧5y³ = (x∧4y)b
                  b = (160x∧5y³)/ x∧4y)
                  b = 160xy²
Therefore, the base of the triangle is 160xy²
7 0
2 years ago
Read 2 more answers
Jim decides to start a small nonprofit business of renting out motor scooters to help out his area residents. He puts in his own
Otrada [13]
First, find the expected number of scooters rented per month:

As the data is symmetrical, E(X) (the expected value) is the middle value. So, on average, 2.5 scooters should be taken per month.

His total costs were 5 * 3000 = $15,000

So, to break even, he needs to make $15,000.

He will be selling for 5 years, or 60 months.

As a result, he needs to make 15000/60 = $250/month

As he is selling 2.5 scooters on average, he needs to rent each for:

$250/2.5 = <u>$100/month</u>
8 0
3 years ago
Read 2 more answers
Jack found the volume if prism pictured to the right by multiplying 5 x 8 and than adding 40 + 40 + 40= 120. He says the volume
PIT_PIT [208]

Answer:

b. 30 ft³

Step-by-step explanation:

5 × 8 is the volume of one side.

5 × 8 = 40

40 + 40 + 40 = 120

120 in.³

4 0
2 years ago
Solve 270=3e^2.4K to the nearest hundredth
mojhsa [17]

Given:

The equation is:

270=3e^{2.4K}

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

270=3e^{2.4K}

Divide both sides by 3.

\dfrac{270}{3}=e^{2.4K}

90=e^{2.4K}

Taking ln on both sides, we get

\ln (90)=\ln e^{2.4K}

\ln (90)=2.4K                  [\because \ln e^x=x]

Divide both sides by 2.4.

\dfrac{\ln (90)}{2.4}=K

\dfrac{4.4998}{2.4}=K           [\because \ln (90)\approx 4.4998]

1.874916667=K

Round the value to the nearest hundredth (two decimal place)

K\approx 1.87

Therefore, the value of K is 1.87.

8 0
3 years ago
What is the answer of b-6=-14
Nostrana [21]

Answer:

b= -8

Step-by-step explanation:

b-6=-14

add 6 to -14 but its a negative so, you subtract -14 to 6.

----------

b= -8

----------

4 0
2 years ago
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