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:
A and D
Step-by-step explanation:
4×3=12
4×d=4d
12+4d
Then;(4×d)+(3×4)=4d +12
Same expression
Answer:
price = 4.1
cost = 12.3
Step-by-step explanation:
price = 0.8+1.2+1.5+0.6 = p4.1
cost = 2.40+3.60+4.50+1.80 = $12.3
If you notice the picture below
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
- 1/2 off means you would multiply the amount by 1/2 then subtract
a. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
- do the same thing but this time it is a different number
b. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3