The square has area 8*8=64, the rectangle has area 7*4=28, and the triangle has area 7*6/2=21. Their sum is 64+28+21=113.
45 minutes.
3 x
--- ----
4 60
you multiply 60 and 3.
you get 180, then you divide by 4 and get 45 minutes.
It is a line that divides the space into two.. The line is y=-x-3
Answer:4(3)/(5)
Step-by-step explanation:
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.
