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.
Answer:
area = 22,272
Step-by-step explanation:
area = length * width
to calculate the width, we need the first segment using the pythagorean theorem




length = 116 + 140 = 256
so
area = 87 * 256 = 22,272
Answer:
Option A is correct

Step-by-step explanation:
Let the number be z.
Given the statement:
'' five times the quotient of some number and ten"
" quotient of some number and ten" translated to 
"five times the quotient of some number and ten" translated to 
Then, the expression we get,

Therefore,
expression represents '' five times the quotient of some number and ten"