Answer:
Step-by-step explanation:
We have the cone and the half-sphere.
The formula of a volume of a cone:
r - radius
H - height
We have r = 7cm and H = (22-7)cm=15cm. Substitute:
The formula of a volume of a sphere:
R - radius
Therefore the formula of a volume of a half-sphere:
We have R = 7cm. Substitute:
The volume of the given shape:
Substitute:
Divide top and bottom by four.
6/7 is the answer
Answer:
87 in³
Step-by-step explanation:
that is the solution above
Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
A) The wall = 32ft * 16ft = 512 square feet.
If one liter of paint covers 100 square feet then you're going to need 6 liter of paint because 5 liters could only cover 500 square feet so it wouldn't be enough. So you get the formula Liter * 0.26417 = gallons and plug in the 6 liter to get <span>1.58502 gallons
B) From the answer above you can estimate that you would need 2 gallons
C) Remember that you had 6 liters of paint which = 600 square ft. So you have 600 square ft of paint - 512 square ft wall = 88 square ft unused paint. And if one liter = 100 square ft, x liters = 88 square ft. So to get the liter you get the equation 100x=88 --> x=88/100
So the ANSWER is .88 liters of paint will be left remaining in the container.</span>
