Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

So we can find the height of the cone with that:

Now that we have the cone's height, we can solve for its volume:

Answer: A B and C
Step-by-step explanation:
D has an area of 15 and A B and C have an area of 12.
Answer:
f(t) = 5×0.87^t
Step-by-step explanation:
The general form for an exponential function described in this fashion is ...
... f(t) = (starting value) × (1 + (percent change))^t
Here, the "percent change" is -13%, or -0.13.
Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...
... f(t) = 5 × 0.87^t
Answer:
1. 7
2. 17/12 can be a mixed number
Answer:
C. 15.6
Step-by-step explanation:
Perimeter of WXYZ = WX + XY + YZ + ZW
Use the distance formula,
to calculate the length of each segment.
✔️Distance between W(-1, 1) and X(1, 2):
Let,


Plug in the values





✔️Distance between X(1, 2) and Y(2, -4)
Let,


Plug in the values





✔️Distance between Y(2, -4) and Z(-2, -1)
Let,


Plug in the values





✔️Distance between Z(-2, -1) and W(-1, 1)
Let,


Plug in the values





✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56
≈ 15.6