A=(2,4); B=(3,9); C=(4,1)
A'=(4,-2); B'=(9,-3); C'=(1,-4)
All the points P=(x,y) change to P'=(y,-x), this corresponds to a rotation counterclockwise about the origin, then:
Answer: Triangle ABC is
First box: rotated counterclockwise
Second box: 90° about the origin
to form triangle A'B'C'
Answer:
they are not parallel
Step-by-step explanation:
they intersect eachother
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:
72.175
Step-by-step explanation:
The first step is subtract 94.68 by 49.67 which would be 45.01
The next step would be to use 45.01 and divide by two
The last step would be subtract 94.68 by 22.505 and you would get 72.175
Therefore your answer would be 72.175