Answer:
Step-by-step explanation:
Given that,
The area of base, A = 24 in²
The height of the pyramid, h = 8 in
We need to find the volume of the following figure.
The volume of pyramid is given by :
Substitute all the values,
So, the volume of the pyramid is equal to .
The lines that intersect at Park Avenue and Hawthorne Boulevard are perpendicular to each other because they intersect at a 90 degree angle.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Maybe you want to find x such that ...
2/7 = x/(x +10)
2(x +10) = 7x . . . . . . multiply by 7(x+10)
20 = 5x . . . . . . . . . . subtract 2x, simplify
4 = x . . . . . . . . . . . . divide by 5
_____
<em>Additional comment</em>
You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.
X=8-y
2(8-y)=10
16-2y=10
-2y=10-16
-2y=-6
y=3
x+3=8
x=8-3
x=5
(5,3) is the answer :)
(7^x)^4 is equal to 7^(4x).
7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.
7^5 / 7^(3x) is equal to 7^(5 - 3x).
you wind up with 7^(4x) is equal to 7^(5 - 3x)
this is true if and only if 4x = 5 - 3x.