Answer:
The volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume.
Step-by-step explanation:
The volume of a cylinder having base area 'A' and height 'H' is given by V = AH, and the volume of a cone having the same base area as the cylinder i.e. A and height 3 times the height of the cylinder i.e. 3H is given by 
.
So, V = V'
Hence, the volume of cone z has the same base area as cylinder y but its height is 3 times the height of cylinder y have the same volume. (Answer)
Answer:
822 hours
Step-by-step explanation:
Let's say that you work for h hours. Then since each hour, you charge $10.25, then your total earnings after h hours will be:
10.25 + 10.25 + 10.25 + ... + 10.25, where you add 10.25 to itself h times.
Adding a number n to itself x times is the same as multiplying that number n by x: nx. It's the same thing here: we multiply 10.25 by h because we added 10.25 to itself h times:
10.25 * h
Now, we do know that the actual total amount of money you earn is $8425, so we can just set this value equal to our above expression:
10.25 * h = 8425
Divide both sides by 10.25 to solve for h:
h = 8425/10.25 ≈ 821.95 ≈ 822 hours
Hope this helps!
Yes it is possible to prove this figure is a parallelogram
Refer to the attached image
Step 1) mark the corner points as A, B, C, D
Step 2) Draw a diagonal from A to C (shown in red)
Step 3) Through the SSS (side side side) property, we can prove the two triangles ABC and ADB are congruent
Step 4) By CPCTC (corresponding parts of congruent triangles are congruent), we can say the angles of the triangles are congruent as well. So angle ACB is congruent to angle CAD (as shown in green)
Step 5) Through the converse of the alternate interior angle theorem, this means that the BC is parallel to AD
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If you repeat those steps, but instead of drawing diagonal AC you draw diagonal BD, then you can prove that AB || CD
Once you know that AB || CD and BC || AD, then you have proven the figure is a parallelogram. By definition, a parallelogram is a four-sided figure with opposite sides that are parallel.
