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sp2606 [1]
2 years ago
11

Use the fact that sin 38 ≈ 0.6157 to solve m.

Mathematics
2 answers:
Elza [17]2 years ago
7 0

Answer:

  • 52°

Step-by-step explanation:

We know that sine and cosine are equal when angles are complementary.

  • sin 38° = cos m
  • sin 38° = cos (90° - 38°) = cos 52°
  • cos m = cos 52°
  • m = 52°
Anni [7]2 years ago
6 0
Use cos^-1(0.6157) and u might find the answer
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A father’s age now is three times the age that his son was 4 years ago. In
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Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

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=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72










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