James is setting up a fish tank. He is buying a breed of goldfish that typically grows to be 12 inches long . It's recommended that there be 1 gallon of water for every inch of fish length in the tank . What is the recommended ratio of gallons of water per fully grown gold fish in tank ?

Answers

Answer 1

Answer: 12:12 is the ratio because each fish can grow up to be 12 inches long so 12 gallons would be in the tank per fish.

Answer 2

Answer:

Final answer:

The recommended ratio of gallons of water per fully grown goldfish in a tank is 12:1. This means for every goldfish that grows up to 12 inches, there should be 12 gallons of water in the tank.

Explanation:

James is setting up a fish tank and planning to house a breed of goldfish that typically grows to be 12 inches long. Considering the recommendation, there should be 1 gallon of water for every inch of fish length in the tank. Therefore, for a fully grown goldfish of 12 inches, James will require 12 gallons of water per goldfish - this is the recommended ratio of gallons of water per fully grown goldfish in the tank.

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.

Answers

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = $\sqrt{(KP)^(2)+(KQ)^(2)-2(KP)(KQ)cos(K)}$

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = $\sqrt{(12)^(2)+(12)^(2)-2(12)(12)cos(110)}$

∴ PQ = 19.66

The length of PQ is 19.66 units

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