Answer:
.9167 miles per lap
Step-by-step explanation:
3.6 miles total-1.2 miles walked= 4.4 miles in laps
4.4 miles=4.8 laps
we are solving for miles per lap, so we divide 4.4m/4.8l
P=2L+2W
P=2*20+2*15= 40+30=70 in
A=W*L=20*15=300 in²
Volume of a cylinder is formulated as: π·r²h
Surface area of a cylinder is formulated as: 2π·rh + 2π·r²
So, for a:
Volume = π·5²·12 = π·25·12 = 300π
Surface area = 2π·5·12 + 2π·5² = 120π + 50π = 170π
And it's essentially the same process for the other questions.
Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
