Answer:
32
Step-by-step explanation:
Given:
- The slant length 10 units
- A right square pyramid with base edges of length 8
Now we use Pythagoras to get the slant height in the middle of each triangle:
=
=
units
One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.
=
= 6 units.
Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:
- The height 3 units
- A right square pyramid with base edges of length 4
So the volume of it is:
V = 1/3 *3* 4
= 32
Answer:
2
Step-by-step explanation:
Using the distance formula,

We just need to plug in the numbers.
So 
Then we simplify it to

Finally, we get
, which is
when simplified.
Answer:
7.5 Miles.
Step-by-step explanation:
3 + 4.5 = 7.5 Miles.
Answer:
4320 degrees
Step-by-step explanation:
If interior angles are 3960 degrees then there are 24 sides. If polygon is regular, size of each exterior angle is 15 degrees.
A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to
180 degrees.
Sum of all the exterior angles of any polygon is
360 degrees
As sum of all the interior angles of the polygon is
3960 degrees
Sum of all pairs of exterior and interior angles is
3960 degrees + 360degrees = 4320 degrees
Answers:
Choice C) 1.5 + AB = 3.7
AB = 2.2 cm
====================================================
Explanation:
Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.
The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.
Therefore, 1.5 + AB = 3.7 is one valid equation to set up.
------------
To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.
1.5 + AB = 3.7
AB = 3.7 - 1.5
AB = 2.2
Notice how,
1.5 + AB = 1.5 + 2.2 = 3.7
to help confirm our answer.