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masha68 [24]
3 years ago
14

37. A company is choosing between two tanks for mixing chemicals Bothhave the same price, so the company plans to choose the one

thatcan holdtanksthemost chemicals. The first tank conical with a diameter of 10 feet anda heightof 15 feet. The second tank is a hemisphere with a radius of 5.5 feetOne cubic foot 7.48 gallons

Mathematics
2 answers:
omeli [17]3 years ago
3 0
Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.

Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons

Hence the conical tank will contain more chemicals
lara [203]3 years ago
3 0
Given:
1st tank: conical with diameter of 10 feet and height of 15 feet.
2nd tank: hemisphere with a radius of 5.5 feet

volume of a cone = πr² h/3
V = 3.14 * (5ft)² * 15ft/3
V = 3.14 * 25ft² * 5ft
V = 392.5 ft³

392.5 ft³ * 7.48 gallons/ft³ = 2,935.9 gallons

volume of a hemisphere = (2πr³)/3
V = [2 * 3.14 * (5.5ft)³]/3
V = (2 * 3.14 * 166.375 ft³)/3
V = 1,044.835 ft³/3
V = 348.28 ft³

348.28 ft³ * 7.48 gallons/ft³ = 2,605.13 gallons
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An estimated 3 out of every 25 men are left handed.

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A class has 6 boys and 15 girls. What is the ratio of boys to girls
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2 years ago
Read 2 more answers
1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
Irina-Kira [14]

Answer:

1. a. 1,000 = 10³ = 10 × 10 × 10

b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10² = 300

b. 2.16 × 10⁴ = 21,600

c. 800 ÷ 10³ = 0.8

d. 754.2 ÷ 10² = 7.542

Step-by-step explanation:

3. a. 1,000

There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:

1,000 = 10³ = 10 × 10 × 10

b. 100 × 100

Using the same logic as explained in (a) above, we would have:

100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10²

Convert 10² to 100 and multiply both numbers

3 × 10² = 3 × 10 × 10 = 3 × 100 = 300

b. 2.16 × 10⁴

2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000

Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.

2.16 × 10,000 = 21,600

c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10

800 ÷ 1,000

There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.

800 ÷ 1,000 = 0.8

d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10

754.2 ÷ 100

Move the decimal point 2 places to the left.

754.2 ÷ 100 = 7.542

5 0
3 years ago
PLEASE HELP ME I CAN'T GET THIS WRONG, I KNOW ITS NOT #4
Nina [5.8K]
H(x) = 0.15x - 0.19
p(x) = 0.29x - 0.16

(p · h)(-8) = (0.29(-8) - 0.16)(0.15(-8) - 0.19)
(p · h)(-8) = (-2.32 - 0.16)(-1.2 - 0.19)
(p · h)(-8) = (-2.48)(-1.39)
(p · h)(-8) = 3.4472

It is approximately equal to 3.
5 0
2 years ago
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