Answer: 
Step-by-step explanation:
<u>Use trigonometry (shown in image below) to find the 3 side-lengths:</u>
- The side opposite of θ =
- The base side adjacent to θ = 11
- The hypotenuse = 12
<u>According to right triangle trigonometry:</u>
cos θ = 
<u>Substitute in the values:</u>
cos θ =
Answer:
8 inches
Step-by-step explanation:
Use a proportion.
2 inches is to 0.9 miles as x inches is to 3.6 miles
2/0.9 = x/3.6
0.9x = 2 * 3.6
x = 2 * 4
x = 8
Answer: 8 inches
Answer:
5
Step-by-step explanation:
Answer:
f(− 3) = 84
Step-by-step explanation:
Given the function, f(x) = 7(9 − x), to find the value of f(-3) substitute x = -3 into the function:
f(− 3) = 7(9 − (− 3))
f(− 3) = 7(9 + 3)
f(− 3) = 7(12)
f(− 3) = 84
Therefore, f(− 3) = 84.
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Answer:
Son's age is 25.
Step-by-step explanation:
Let the Father's age be 2x.
Let the son's age be x.
Five years ago:
Man's age will be = 2x - 5
Son's age will be = x - 5
If the ratio of their ages five years ago was 9:4, then:
2x - 5/x-5 = 9/4
⇒ 4(2x - 5) = 9(x - 5)
⇒ 8x - 20 = 9x - 45
⇒ -20 + 45 = 9x - 8x
⇒ 25 = x
∴ x = 25
Hence, the son's age = 25 years
If x = 25, the father's age (2x) will be 2 × 25 = 50 years
