Answer: ![24\ ft](https://tex.z-dn.net/?f=24%5C%20ft)
Step-by-step explanation:
Given
The slant height of the square pyramid is ![l=25\ ft](https://tex.z-dn.net/?f=l%3D25%5C%20ft)
The length of the side of the base is ![a=14\ ft](https://tex.z-dn.net/?f=a%3D14%5C%20ft)
for the square pyramid, height is given by
![\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft](https://tex.z-dn.net/?f=%5CRightarrow%20h%3D%5Csqrt%7Bl%5E2-r%5E2%7D%5Cquad%20%5Cquad%20%5B%5Ctext%7Bwhere%20r%3D%7D%5Cfrac%7Ba%7D%7B2%7D%5D%5C%5C%5CRightarrow%20h%3D%5Csqrt%7B25%5E2-7%5E2%7D%5C%5C%5CRightarrow%20h%3D%5Csqrt%7B625-49%7D%5C%5C%5CRightarrow%20h%3D%5Csqrt%7B576%7D%5C%5C%5CRightarrow%20h%3D24%5C%20ft)
Thus, the height of the prism is
Hello from MrBillDoesMath!
Answer:
Choice A
Discussion:
As the lines are parallel, corresponding angles are equal. This means that
angle x (just to the left of the letter a) and its corresponding angle ( just above line b -- above the the "2x" value shown) are equal..
In other words,
x = 180 -2x
as there is 180 degrees in a straight line.
Add 2x to both sides of the equation:
x + 2x = 180 - 2x + 2x =>
3x = 180 =>
x = 60
Regards,
MrB
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
Answer:
7/17
Step-by-step explanation:
Probability is found by (# of what we are looking for)/(total). We know that there are 7 picture books that are returned. We know that the total books returned are 5 + 3 + 7 + 2 = 17. Therefore, the probability is 7/17.
I hope this helps! :)