Surface Area of a cylinder 2(π•r²)+(2π•r)•h
So
If the diameter is 8 then the radius is 4. the height is 5.
so you have, 2(3.14•4²)+(2•3.14•4)•5
solve. PEMDAS
Parentheses & Exponents first.
2(3.14•16)+(2•3.14•4)•5
2(50.24)+(6.28•4)•5
2(50.24)+(25.12)•5
Multiplication & Division second (left to right)
100.48+125.6
Add & Subtract (left to right)
226.08cm
Answer:

Step-by-step explanation:
We are given the trigonometric equation of:

Let u = 4x then:

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

Convert u-term back to 4x:

Divide both sides by 4:

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:

Answer:
I only
Step-by-step explanation:
dy/dx = x + 1 / y -3
(y - 3)dy = (x + 1) dx
integrate
1/2y^2 - 3x = 1/2x^2 + x
1/2y^2 = 1/2x^2 + 4x
y^2 = x^2 + 8x
y = (x^2 + 8x)^1/2
Answer:
27.8 per mile.
Step-by-step explanation:
417 divided by 15 equals 27.8 miles per gallon
miles/ gallon
/ = per
so
417/ 15
27.8 gallons
Answer:
The answer is the third option from the top:
0, 0, 11, 15, 26, 32, 45, 46, 46, 46, 60, 71, 84, 88