Answer:
39.25 cubic feet of paint will be needed by Ellis.
Step-by-step explanation:
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder of radius r and height h is given by:
V = \pi r^2h = 3.14r^2h
How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?
This is the combined volume of these 10 fenceposts.
They are each 5 feet tall and have a diameter of 1 foot.
Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5
10 fenceposts:
Each has the same volume, so:
V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25
39.25 cubic feet of paint will be needed by Ellis.
hope this helps
Good morning
21 + 3q < 3(13 - q)
21+ 3q < 39 - 3q Here it was -3q and it was on the left side. However when you are switching it to another terms that looks like it you must change the sign as well.
3q + 3q < 39 - 21 Here I bring the common terms together.
6q < 18
Divide both sides by 6
6q/6 < 18/6
q < 3
Answer:
The cost is $322.88.
Step-by-step explanation:
18% off the list price of $375
Before the sales tax, you pay 100% - 18% = 82% = 0.82 of 375, so:
0.82*375 = 307.5
5% sales tax:
100% + 5% = 105% = 1.05 of 307.5. So
307.5*1.05 = 322.88
The cost is $322.88.
I think you should do it in a decimal idk if im right but in decimal form it is .1875
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
