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4 years ago

Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?

1 answer:

4 0

Tn = a + (n-1)d

when n = 12, tn = 63

63 = a + (12-1)*5

a = 63 - 55 =8

tn or an
= 8 + (n-1) 5

= 3 + 5n

Hope this helps

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A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how m

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Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V = $\pi r^2h$

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V = $\pi * 10^2*20 = 6283.19 ft^3$

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

$\frac{70}{100} * 6283.19 = 4398.23 ft^3$

1 cubic foot ( $ft^3$ ) is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

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true

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