Answer:
r = 16 cm
g = 34 cm
LA = 1708.16 cm^2
Step-by-step explanation:
We have that for the cone, the formula is as follows:
v = pi / 3 * r ^ 2 * h
the first thing they ask is to calculate the radius, therefore we solve for r
r ^ 2 = 3 * v / (pi * h)
replacing the volume and height, it remains:
r ^ 2 = 3 * 2560 * pi / (pi * 30)
r ^ 2 = 3 * 2560/30 = 256
r = 16
Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:
g ^ 2 = r ^ 2 + h ^ 2
g ^ 2 = 16 ^ 2 + 30 ^ 2
g ^ 2 = 1156
g = 34
The lateral area of the cone is given by the following equation:
LA = pi * r * g
replacing
LA = 3.14 * 16 * 34
LA = 1708.16 cm ^ 2
the lateral area is 1708.16 cm ^ 2
Answer:
See below
Step-by-step explanation:
Need the choices.....
essentially, you can multiply this equation by any constant to get an equivalent equation with the same solutions.
x^2 + 8x + 2 = 0 multiply both sides by '3' to get
3x^2 + 24 x + 6 = 0 <===== this will have the same solutions
or this one:
x^2 + 8x + 2 = 0 Multiply both sides by '6' to get
6x^2 + 48x + 12 = 0 <===== this will have the same solutions also
etc....
In order to find the amount left after both sisters ate the cereal, we have to add the amount of cereal the two sisters ate.
Katrina ate 1 3/4 and her sister ate 7/8.
(1 3/4 + 7/8)
(you put a parentheses around it so that you add the two first before subtracting it from the original amount)
Then, we would subtract it from the original amount: 12 1/2.
-> The equation would be: 12 1/2 - (1 3/4 - 7/8).
Answer:
$0.67
Step-by-step explanation:
Divide 8(dollars) by 12 (donuts) and you get 0.66666666666666666666666666666667
But, round it and you get .67
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
