Are 5(2x-y) and 15x-5y equivalent expressions?
1 answer:
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Answer:
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is .
Because all the angles of a triangle sum to , we have that
.
We combine like terms on the left side to get .
We subtract on both sides to get
.
So, and we're done!
Answer:
C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.
Step-by-step explanation:
We have a cone and a cylinder with the same base and height.
We can express the volume of the cylinder as:
being r the radius and H the height.
The volume of the cone can be written as:
As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.
If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is: