Answer:
6 cm
Step-by-step explanation:
The volume of a cone = (1/3) πr²h
72π = (1/3) π r² 6
72 = (1/3) r² 6
Divide both sides by 6
12 = (1/3) r²
Multiply both sides by 3
36 = r²
So r (radius) = 6 cm
Answer:
x = 52.0
Step-by-step explanation:
Reference angle = 68°
Length of side Opposite to reference angle = x
Adjacent length = 21
Apply the trigonometric function, TOA, which is given as:
Tan 68° = Opp/Adj
Substitute
Tan 68° = x/21
21 × Tan 68° = x
51.9768238 = x
x = 51.9768238 ≈ 52.0 (approximated to nearest tenth)
Answer:
61
Step-by-step explanation:
79 + 40 = 119
180 - 119 = 61
The exponential formula for this situtation will be given by:
f(x)=ae^(-bx)
where:
a=initial price
b=rate
x=time in years
hence the formula will be:
f(x)=28750e^(-0.12x)
thus the value of the car in 2018 will be:
x=2018-2012=6 years
thus
f(6)=28750e^(-0.12*6)
f(6)=$13,994.13
