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Lisa [10]
2 years ago
14

Trent added water to a pool. It took 3 minutes to add 9 gallons of water. How long would it take to add 18 gallons of water to t

he pool. Complete the table.

Mathematics
1 answer:
Temka [501]2 years ago
8 0

Answer:

6 minutes

Step-by-step explanation:

  1. Set up the proportion as these two fractions equal to each other

9/3 = 18/x

2. Cross multiply so that 9*x=18*3

3. 9x=54, so now you divide 54 by 9

and this will give you

4. x= 6, so it will take 6 minutes to fill

up the 18 gallon pool

Hope this helped!

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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

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By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

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(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

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3 years ago
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Step-by-step explanation:

Please see the attached pictures for full solution.

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