Answer:
Area: 40
Step-by-step explanation:
To find the area of a parallelogram you multiply the base times the height, or the length times the height. This is why you multiply 5x8 to get 40. The substitution could be 5 x 8 = X
X is the area.
Answer: n=6
Step-by-step explanation:
2^3 x 4^3 = 2^3 x 2^n = 2^9
(2×2×2) ×(4×4×4) = (2x2x2) ×2^n=(2x2x2x2x2x2x2x2x2)
8 x 64 = 8x 2^n = 512
512= 8x 2^n = 512
divide all through by 8 so that 2^n can stand alone
512/8 = (8x 2^n)/8 = 512/8
64 = 2^n = 64
express 64 as a base of 2
2^6 = 2^n = 2^6
since they all have same base, cancel out the base.
therefore,
6=n=6
n = 6
Answer:
3pi/4 and -pi/4
Step-by-step explanation:
We can simplify -6/6 to -1.
Therefore, this function can be simplified to arctan(-1).
Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.
Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.
If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.
If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.
Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.
Answer:
102°
Step-by-step explanation:
This is an isosceles triangle
x = 180 - 39 - 39
x = 102°
Answer:
Step-by-step explanation:
the ratio is 5:3:2
therefore, Ali receives 5x, Ben receives 3x and Carl receives 2x
Ben receives 60 $
so,
3x = 60
x = 60/3 = 20
Ali's share = 5x = 5*20
Ben's share = 60$
Carl's share = 2x = 2*20
therefore, Ali receives 100$, Ben receives 60$ and Carl receives 40$
so, the total money shared is 60$ + 40$ + 100$ = 200$
