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.
When looking at a rectangular prism, we know that Volume = length * width * height
If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.
280 = 8 * 7 * height
280 = 56 * height
Because we are solving for the height, we divide both sides by 56
280/56 = height
height = 5 meters
Answer:
Each person gets one eighth of the pie.
Step-by-step explanation:
1/2 pie divided by 4.
1/2 / 4 = 1/2 / 4/1 = 1/2 × 1/4 = 1/8
Answer: Each person gets one eighth of the pie.
Answer:
£32 : £40
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£72 ÷ 9 = £8 ← value of 1 part of the ratio, then
4 parts = 4 × £8 = £32
5 parts = 5 × £8 = £40
Then
£72 in the ratio 4 : 5 is £32 : £40
