Answer: 
Step-by-step explanation:
Given
The slant height of the square pyramid is 
The length of the side of the base is 
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
I'd say $148 because you convert the percent into a decimal so
4%= 0.04
Then you multiply $3,700•0.04 = $148
So I'd say the interest earned on $3,700 in one year would be $148
Answer:


Step-by-step explanation:
we are given a vertex of a square i.e <u>(</u><u>1</u><u>,</u><u>1</u><u>)</u>
and the equations of the two parallel sides
notice that, the given vertex coordinates satisfy one of the parallel side i.e <u>y=</u><u>x </u>which means that (1,1) points lie on one of Parallel sides
remember that,
every angles of a square is <u>9</u><u>0</u><u>°</u><u> </u>
therefore,
we need to figure out the remaining <u>Perpendicular</u><u> </u><u>line </u><u> </u>of the given Parallel sides so
let's figure out the perpendicular line of y=x line
recall that,
Parallel lines have the same slope thus

since we are given a vertex the equation of the perpendicular line should be

distribute:

add 1 to both sides:

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation
so the slope of the perpendicular line is -1
and the equation:

distribute:

add 0.5 to both sides:

and we are done!
Answer:
Step-by-step explanation:
f(g(x) ) = 5(g(x)) +8
=5(3)+8
=15+8
=23
g( f(x) ) = 3(f(x))
=3(5x+8)
=15x +24
:)
Use a^n × a^m = a^(n + m)
a^2 × a^3 = a^(2 + 3) = a^5