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Leviafan [203]
2 years ago
14

Debra made $228 for 12 hours of work.

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
3 0

Answer:

17 hours

Step-by-step explanation:

  1. Set up a proportion: \frac{12}{228} = \frac{x}{323}  
  2. Cross multiply, then divide: 12 × 323 = 3876, 3876 ÷ 228 = 17
  3. So, she would have to work 17 hours to make $323.

I hope this helps!

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Answer:

  B)  a = 6.7, B = 36°, C = 49°

Step-by-step explanation:

Fill in the numbers in the Law of Cosines formula to find the value of "a".

  a² = b² + c² -2bc·cos(A)

  a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862

  a ≈ √44.4862 ≈ 6.66980

Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°

The third angle is ...

  B = 180° -A -C = 180° -95° -48.31° = 36.69°

The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.

6 0
3 years ago
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8 0
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1, -4, 9, -16, what is the next number
katovenus [111]
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Use the figure to find the measures of the numbered angles. ∠3 = ∘ ∠4 = ∘
zmey [24]

Answer:

Step-by-step explanation:

∠3=95 (corresponding angle)

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4 0
2 years ago
Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total
umka2103 [35]

Answer:

First step to solving the equation is to subtract 10 on both sides:

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Then, we divide by 5 on both sides!

5x ÷ 5 = 55 ÷ 5

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Our result is 11, so the answer to the problem is 11

I hope I was helpful!

8 0
2 years ago
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