Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
Answer:
a- about 3$
b-about 8$
c-about .04
Step-by-step explanation:
a-100.8/35=2.88
2.88 is around 3
b-49.2/6=8.2
8.2 is close to 8
c-.78/20=.039
.039 is the nearest to .04
Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
Answer:
$1800
Step-by-step explanation:
Volume of the foundation: 30*12*6 = 2160 cubic feet
we need to convert this into yards because a truckload is 8 cubic yards, 2160/3 = 720 cubic yd
One truckload is 8 cubic yards
# of truckloads needed: 720/8 = 90 truckloads
Cost: $20*90 = $1800
The answer to the question
