Answer:
90.4°
Step-by-step explanation:
Use Law of Cosines to solve:
12² = 9² + 8² - 2(9)(8)Cos X
144 = 81 + 64 - 144Cos X
-1 = -144Cos X
-1/144 = Cos X
Cos^-1 (-1/144) = X
X = 90.39789056°
Answer:
f(x) + g(x) = 3x + 7
Step-by-step explanation:
f(x) = 2x + 2, g(x) = x + 5
f(x) + g(x) = 2x + 2 +x + 5
f(x) + g(x) = 2x +x + 5 +2
f(x) + g(x) = 3x + 7
A= -81 + square root of 113
a<span>≈</span> -70.36985418
Answer:
<u>t = t₀ - 3n</u>
Step-by-step explanation:
Let t be the temperature and t₀ be the initial temperature of the day
Let n be the number of hours after the initial temperature ( t₀) was registered
Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)
Now, let's write down the expression that shows the temperature change each hour, this way:
t = t₀ - 3n
After 2 hours
t = t₀ - 3 * 2 = t₀ - 6
After 5 hours
t = t₀ - 3 * 5 = t₀ - 15
After 3 hours and 30 minutes
t = t₀ - 3 * 3.5 = t₀ - 10.5