True or False? You need to add a zero under the 4 as a placeholder.
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
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
