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swat32
2 years ago
11

SHOW WORK!!

Mathematics
1 answer:
denpristay [2]2 years ago
6 0

If he puts 300 sunfish into the pond, he will put 225 perch in the pond.

<h3>What is a ratio?</h3>

A ratio is the comparison of one thing to another. Generally, ratios compares value.

They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows

  • 4:3

If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:

  • 4 / 3 = 300 / x

cross multiply

4x = 900

x = 900 / 4

x = 225

learn more on ratios here: brainly.com/question/89456?referrer=searchResults

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Answer: 255

Step-by-step explanation:

7 0
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40 + x + 25= 180
sveta [45]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \:40 + x + 25 = 180

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6 0
2 years ago
Help, Help, Please
Lesechka [4]

Answer:

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Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

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2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = \frac{1}{2} , so

θ = cos^{-1} (\frac{1}{2} ) = \frac{\pi }{3} ( or 60° )

8 0
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