The length of the rectange is 20ft and width of the 5ft.
<u>Step-by-step explanation:</u>
Let us consider a rectangle and its area is known to be 100 sq ft.
We are given the information that the length of the rectangle is 10ft longer than twice its width.
⇒Length l = 2w+10.
Where w is the width of the rectangle.
The formula for area of the rectangle A = length × width.
A= (2w+10)×w.
100 = 
.
0=
.
Thus it forms an quadratic equation we have to solve for the solution.
0=(2w-10)(w+10).
2w-10=0. w+10=0.
2w=10. w=-10. (negative value cannot be choosed.)
w=
.
w=5ft.
Thus width is is 5 ft.
Length = 2(5)+10.
=10+10.
=20ft.
Thus the length is 20ft.
Answer:
First option: True.
Step-by-step explanation:
To know if the volume of this cylinder is 496.21 ft³, you need to use the formula for calculate the volume of a cylinder:
Where "r" is the radius and "h" is the height.
You can observe in the figure that the radius of the cylinder is 4.5 feet and the height is 7.8 feet.
Then, knowing this, you can substitute these values into the formula.
Therefore, the volume of this cylinder is:
Then the answer is: True.
Answer:
x = 31
Step-by-step explanation:
Given:
f(x) =
g(x) = x + 2
We will first find g(2).
g(2) = 2 + 2 = 4
Next we will find f(g(2)).
f(g(2))= f(4) =
so each ticket costs 12 dollars multiply that bye 5 you get 60
each bucket of popcorn costs 4.50 then multiply that bye 2 you get 9
then all five girls get a soda which costs 4.75 so you would multiply 4.75 bye 5 which is 23.75
so in total you would get B.92.75
