surface area of a triangle is 1/2 x base x height.
1/2 x 10 x 12 = 60 square inches.
there are 4 triangular sides: 60 x 4 = 240 square inches
area of the base = 10 x 10 = 100 square inches
total surface area = 240 + 100 = 340 square inches
answer: 340 square inches
Let's raise i to various powers starting with 0,1,2,3...
i^0 = 1
i^1 = i
i^2 = ( sqrt(-1) )^2 = -1
i^3 = i^2*i = -1*i = -i
i^4 = (i^2)^2 = (-1)^2 = 1
i^5 = i^4*i = 1*i = i
i^6 = i^5*i = i*i = i^2 = -1
We see that the pattern repeats itself after 4 iterations. The four items to memorize are
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.
To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.
This means i^25 = i^1 = i
Likewise,
i^5689 = i^1 = i
because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely
You are correct!
90 would be the correct choice, here is why:
use the eqation: $20*30*15%
first times $20*30=600
now, 600 *15%= $90
therefore, your answer is 90 dollars
There is one solution, (0,4) is your answer
Note that x = 0, y = 4
(4) = 1/3(0) + 4
4 = 0 + 4
4 = 4 (true)
3(4) - (0) = 12
12 - 0 = 12
12 = 12 (true)
There is one solution, (0,4) is your answer
hope this helps
Answer:
8x + 7
Step-by-step explanation:
combine the like terms
