48.2
arccos(4/6)
Mark brainliest please
Answer:
41°
Step-by-step explanation:
The angle addition theorem tells you ...
m∠MNR + m∠RNP = m∠MNP
Filling in the given values, you have ...
43° + m∠RNP = 84°
Subtract 43° from both sides of the equation to find the angle of interest:
m∠RNP = 84° - 43° = 41°
The measure of angle RNP is 41°.
Answer:
Exact Form:
73 over 2
Decimal Form:
36.5
Mixed Number Form:
36 1 over 2
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
f(x) = 300,000(1.05)^x
Step-by-step explanation:
Use the exponential growth equation:
f(x) = a(1 + r)^x
Plug in 300,000 as a, since it is the original population:
f(x) = 300,000(1 + r)^x
The city's population is growing at 5% each year, so plug in 0.05 as r:
f(x) = 300,000(1 + 0.05)^x
f(x) = 300,000(1.05)^x
So, the function for the population growth is f(x) = 300,000(1.05)^x
