The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.
<span>120 = 120(2 ^ 10a) + 60 </span>
<span>2 ^ -1 = 2 ^ 10a </span>
<span>a = -1/10 </span>
<span>The temperature of coffee 30 minutes after it was poured is: </span>
<span>F = 120 ( 2 ^ -30/10) + 60 </span>
<span>F = 120 * 1/ 8 + 60 </span>
<span>F = 15 + 60 </span>
<span>F = 75</span>
The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)
This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B
If we let
A = π / 5
B = π / 7
Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)
The lamp post is 202.5 cm high.
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First 8.58
Second 8.508
Third 7.5
Fourth 7.058
