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Mars2501 [29]
3 years ago
14

What are two equivalent ratios for 1/8

Mathematics
1 answer:
Leto [7]3 years ago
5 0
Two equivalent ratios for 1/8 is 2:16 and 4:32
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Answer: <em>∠1 = 37.5°; ∠2 = 37.5°; ∠3 = 133°.</em>

Step-by-step explanation:

<em>∠1 = ∠2 = (180° - 105°) ÷ 2 = 37.5°</em>

<em>∠3 = 180° - 23° - 24° = 133°</em>

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2 years ago
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
exis [7]

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

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Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes

5 0
3 years ago
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Step-by-step explanation:

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Consider the original triangle and its enlargement.
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