Answer:
The value of angle is 56.9°
Step-by-step explanation:
First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :







In order to find θ, you have to apply Sine Rule :





So first sivid 42 by 3 to get 14. Then multiply 14 by 4 to get 56. So the answer is C
To find range, you must find the largest number in your data, and subtract it by the smallest number in your data.
In this case...
the Largest (20) - smallest (0) = Range
Answer:
It will take about 7.3 years for his money to triple.
Step-by-step explanation:
Identify the variables in the formula.
A = 150,000
P = 50,000
r = 0.15
t = ?
A = Pe^rt
Substitute the values into the formula.
150,000 = 50,000e^0.15*t
Solve for t. Divide each side by 50,000.
3 = e^0.15*t
Take the natural log of each side.
ln 3 = ln e^0.15*t
Use the power property and then simplify.
ln 3 = 0.15*t ln e
ln 3 = 0.15-t
Divide each side by 0.15.
(ln 3)
/(0.15) = t
Approximate the answer.
t ≈ 7.3
The answer is C
Because you have to add them all up. So add the 1/3 and 2/3 which equals 3/3 which is equal to 1. So then you add the 1/6 which equals 2/6 which is equivalent to 1/3 then you add that 1/3 to the last 1/3 which also equals 2/6 and as we established that equals 1/3 so the answer is 1 and 1/3.