Circumference=2(pi)r or (pi)d
You know that Circumference=113.04
You know that the diameter=2x+4
Plug what you know into the equation and solve for x.
C =(pi) d
113.04=(pi)(2x+4)
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is

Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as

or

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Answer:
The correct option is C. 14 ft
Step-by-step explanation:
To calculate the height, we will follow the steps below;
Formula is given to be: h = 2A / b1 +b2
where h = height of the trapezoid b1 and b2 are the bases of the trapezoid and A is the area of the trapezoid
From the question given;
Area A =329 feet² b1 = 30 feet b2 =17 feet
We can now proceed to insert the values into the formula
h = 2A / b1 +b2
h= 2(329) / 30 + 17
h = 658 /47
h=14 feet
Simplifying
4x + -3y = 12
Solving
4x + -3y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
4x + -3y + 3y = 12 + 3y
Combine like terms: -3y + 3y = 0
4x + 0 = 12 + 3y
4x = 12 + 3y
Divide each side by '4'.
x = 3 + 0.75y
Simplifying
x = 3 + 0.75y
Answer:
A. divide both sides by 3
Step-by-step explanation:
3p < 14
We want to isolate p, so we divide both sides by 3
3p/3 < 14/3
p <14/3