Answer:
The value of the expression when i is 1 is equals to 5.
Step-by-step explanation:
We are given the following expression:

Evaluate the expression when i is 1.
We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

The value of the expression when i is 1 is equals to 5.
Answer:
y is equal to 2 and x is equal to 31 degrees.
Step-by-step explanation:
In order to find this, we must note that similar parts of congruent triangles are congruent. Since y is congruent to the part that is labeled 2, then it is an easy comparison.
x is a bit trickier. For this one, we must find the missing angle of the first triangle. To get that, we must subtract the given angle and the right angle from 180. This will give us x.
180 - 59 - 90 = x
31 = x
SOLUTION
We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).
In P(-5,1), x = -5 and y = 1
In Q(-4,6), x = -4 and y = 6 and
In R(-2,3), x = -2 and y = 3

For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.
Answer:
$10.45
Step-by-step explanation:
14.95 divided by 1.43 = 10.50
Well, sine is

,
but from the angle C, the opposite side, the one facing it off, is the side
AB, and we dunno what the side AB is
however, we know the hypotenuse is 8, and the adjacent side is 7,
and is right-triangle, thus, let us use the pythagorean theorem,

now, that we know what the opposite side is, that is AB, then
we can find the sine of angle C