Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
First, we need to find out how many houses that Hannah received money from. We can do this by dividing the total amount of money she received by the amount she received per house.
780 / 5 = 156
Hannah received money from 156 houses.
To find the amount of houses she did NOT collect money from, we just need to subtract the amount of houses that she DID receive money from away from the total amount of houses in her neighborhood.
278 - 156 = 122
Hannah did not collect money from 122 houses.
Hope this helped! =)
Answer:
Step-by-step explanation:
k = xy
Putting values of x and y in the equation
k = (5)(-3.5)
= - 17.5
Finding value of x when y = 10
k = xy
- 17.5 = x10
Bringing like terms on one side
- 17.5 - 10 = x
-27.5 = x