Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay=
=48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 

The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
A. -1
B. 1
C. 3
D. -2
yes
Step-by-step explanation:
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: x=7.5
Step-by-step explanation: