Answer:
16.5 inches
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
a² + 13² = 21²
a² + 169 = 441
Subtract 169 from both sides
a² = 272
Take the square root of both sides
a = 16.4924225025
Rounded
a = 16.5 inches
Let us denote the semi arcs as congruent angles. This means that angles FEJ and EFJ are congruent (That is, they have the same measure). Since angles FEJ and EFJ have the same measure, this implies that sides EJ and FJ are equal. Since angles EJK and FJH are supplementary angles to angle EJF, this implies that EJK and FJH have the same measure.
Using the Angle Side Angle (SAS) criteria, we determine that triangles EKJ and triangle FJH are congruent. This implies that sides EK and FH are equal and that angles EKJ and FHJ are congruent. Note that angle EKJ is the same as EKF and that FHJ is the same as FHE.
Once again, since angles EKF and FHJ are congruent, and angle EKD is supplementary to the angle EKJ when angle FHG is supplementary to angle FHJ, then we have that angles EKD and angle FHG are congruent.
Using again the SAS criteria, we determine that triangles EKD and FHG are congruent.
From this reasoning, we have proved the following facts:
Triangle DEK is congruent to triangl GFH
Angle EKF is congruent to angle FHE
Segment EK is the same as segment FH
The dimensions for the rectangle are 15 by 2.
15 times 2 is 30, which is the area.
15+15+2+2= 34 which is the perimeter
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
Answer: Ok, so make a graph on paper. On the vertical line put inches of snow going up by one. Then your horizontal line should be hours. For the first two hours make the line go up steadily by one. Then make your line flat for five hours. Then for another six hours make the line go up by two per hour.
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