Answer: radius = 47.8 inches
Step-by-step explanation:
An arc is a portion of the circumference of the circle. The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
θ = 60 degrees
Length of arc = 50 inches
Therefore,
50 = 60/360 × 2 × 3.14 × r
Cross multiplying by 360, it becomes
18000 = 376.8r
r = 18000/376.8
r = 47.8 inches
Answer: Keith spent 3 hours renting the surfboard.
Step-by-step explanation:
h=hour
10.25h+25=55.75
55.75-25= 30.75
30.75/10.25= 3
and if you want to check you can do
10.25(3)+25=
which would equal to 55.75
Answer:
x= -1
Step-by-step explanation:
3x-1=2x2 (calculate the product)
3x-1=4x (move terms)
3 x - 4 x =1 (collect the terms)
- x = 1 (change the signs)
Solution is x = -1
Answer: Choice A. 1/64
Work Shown:
f(x) = 4^x
f(-3) = 4^(-3)
f(-3) = 1/(4^3) ... see note below
f(-3) = 1/64
Note: I'm using the rule that a^(-b) = 1/(a^b)