Answer:
146.5 sq. feet.
Step-by-step explanation:
Area of the deck = Large Square (with 15 ft side) - Circular Pool (with radius 10/2=5)
Large Square area = 
Circular Pool area = 
Thus, area of deck surrounding pool = 
sq. feet
Divide 607,200 by 5280 which equals 115
There are 1 1/2 hip hop classes for 1 ballet class.
Answer:
Insert the numbers into the equation y=3x-5.
the rule states that in every equation the first number is x.so it will be -6=3(4)-5
-6=12-5
-6=7.
If u want, you can leave your answer like that
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
