Answer:
Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 = 1
Step-by-step explanation:
4/9^3 x (2/3)^2 ÷ (2/3)^8
4/9^3 x 4/9 ÷ (2/3)^8
4/9^3 x 4/9 divided by 256/6561
64/729 x 4/9 divided by 256/6561
= 1
Answer:
x=80, y=15
Step-by-step explanation:
The angle on the opposite side of 100 will be equal to x
We know it is 180-100 so x=80
We know 6y=90
therfore y = 90/6 which equals 15
so y=15 and x=80
Answer:
The general plan is to find BM and from that CM. You need 2 equations to do that.
Step One
Set up the two equations.
(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32
BM^2 + CM^2 = 5^2 = 25
Step Two
Subtract the two equations.
(7 - BM)^2 + CM^2 = 32
BM^2 + CM^2 = 25
(7 - BM)^2 - BM^2 = 7 (3)
Step three
Expand the left side of the new equation labeled (3)
49 - 14BM + BM^2 - BM^2 = 7
Step 4
Simplify And Solve
49 - 14BM = 7 Subtract 49 from both sides.
-49 - 14BM = 7 - 49
- 14BM = - 42 Divide by - 14
BM = -42 / - 14
BM = 3
Step Five
Find CM
CM^2 + BM^2 = 5^2
CM^2 + 3^2 = 5^2 Subtract 3^2 from both sides.
CM^2 = 25 - 9
CM^2 = 16 Take the square root of both sides.
sqrt(CM^2) = sqrt(16)
CM = 4 < Answer
Step-by-step explanation:
I think since he runs 3 yards per hour per second their are 60 seconds in a minute so 60 times equals 180 yards per second
Literally just learned this in algebra are you a freshman too ????? lol
A natural number is a positive or nonnegative integer. All the counting numbers, (1, 2, 3, etc.) are natural numbers. Other names for the same type of object include whole number and counting counting.