Answer:
area = 6m + 51 feet²
Step-by-step explanation:
area = length × width = 3(2m + 17) = 6m + 51
Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
Well, i am not sure if i am right, but i tried.
The prime numbers have to be consecutive, (meaning in order from least to greatest), so you find 2 prime numbers on a list, and the only two are 31 and 37 so multiply those and you should get 1147
Answer:
Step-by-step explanation:
we know that
The equation of a exponential function is of the form
where
a is the initial value or y-intercept
b is the base of the exponential function
In this problem we have
----> the y-intercept is given
substitute
we have the other ordered pair (1,10)
substitute the value of x and the value of y and solve for b
substitute
see the attached figure to better understand the problem
