Answer:
125.6637061 or 125.7
Step-by-step explanation:
V=πr²h
Big: π(3)²(5) = 141.3716694
Hole: π(1)²(5) = 15.70796327
141.3716694
- <u>15.70796327</u>
125.6637061
Rate/ speed = distance / time;
= 1/2mile / 300 seconds;
= 0.001666666..... mile/second
Answer:
No they don't.
LINK TO PICTURE OF WORK - My uploads aren't working my apologies.
https://tex.z-dn.net/?f=A%3A%5C%5C(2*2*2)%2B(3*2*2)%2B(3*2*2)%3D%5C%5C(4*2)%2B(6*2)%2B(6*2)%3D%5C%5C8%2B12%2B12%3D%5C%5C20%2B12%3D%5C%5C32%20cm%5E2%5C%5C%5C%5CB%3A%5C%5C(1*3*2)%2B(1*4*2)%2B(3*4*2)%3D%5C%5C(3*2)%2B(4*2)%2B(12*2)%3D%5C%5C6%2B8%2B24%3D%5C%5C14%2B24%3D%5C%5C38%20cm%5E2
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: 3
Step-by-step explanation: Half of 5 is 2.5 so 3 2/5 will be estimated to a 3 1/2 and 5/8 is very close to 4 which is half of 8. so 5/8 will be estimated to 1/2! Both of them subtracted is gonna be 3 because 1/2 - 1/2 is 0!
Have a great day!
