Answer:
$50
Step-by-step explanation:
If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.
Is that the Algebra work/practice book? If so, go into algebra nation and they have videos where they go step by step through the questions. Hope this helps?
Answer: She ran 0.25 laps a minute
Step-by-step explanation:
Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps
<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
Sum of angles in a triangle is 180°
90 + (x + 15) + (2x) = 180
90 + x + 15 + 2x = 180
105 + 3x = 180
3x = 180 - 105
3x = 75
x = 75 ÷ 3
x = 25
Smaller angle = x + 15 = 25 + 15 = 40°
Larger angle = 2x = 2(25) = 50°
Answer: 50°
