The cosine of an angle is defined as the sine of the complementary angle. The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).
Answer:
x = 11
Step-by-step explanation:
16x - 8 = 14x + 14
add 8 to both sides
16x = 14x + 22
subtract 14x from both sides
2x = 22
divide both sides by 2
x = 11
It’s proportional because it goes through the origin
<span>20 - 12y
Simplify parentheses: 4 - 5y - 7y + 16
Combine similar terms: 4 + 16 - 5y - 7y
Simplify: 20 - 12y</span>
Answer:

Step-by-step explanation:
dP/dh = kP
dP/P = k dh
ln P = kh + C
Now, using the points given,
ln 101.5 = C, so C = 4.62
ln 87.3 = k*1000 + 4.62
k = -0.00015
So, we have
ln P = -0.00015 h + ln 101.5
P = 101.5 e^(-0.00015h)