9514 1404 393
Answer:
- sin(Z) = 9/15 = 3/5
- cos(Z) = 12/15 = 4/5
Step-by-step explanation:
The hypotenuse is the longest side, XZ (15). It is opposite the right angle (Y).
The segments adjacent to Z are the ones with Z in their name: ZX and ZY. When we talk about the "side" or "leg" adjacent to Z, we are usually not interested in the hypotenuse ZX. We refer to that as the "hypotenuse." So, the side or leg "adjacent" to Z is ZY, of length 12.
The segment opposite to Z is the one that does not have Z in its name: XY.
sin(Z) = Opposite/Hypotenuse = XY/XZ = 9/15 = 3/5
cos(Z) = Adjacent/Hypotenuse = YZ/XZ = 12/15 = 4/5
Answer:
P' = (2, -6)
Step-by-step explanation:
In this translation, you just need to substitute x and y into the given translation to find what P' is. (x is -6 since it's the x-value of P, and y is -2 since it's the y-value of P):
where T(x, y) = (x + 8, y - 4) and x = -6 and y = -2,
T(-6, -2) = ((-6) + 8), (-2) - 4) (substitute x and y into the translation)
T(-6, -2) = (2, -6) (add and subtract)
So, P' = (2, -6)
2 5/7 as a decimal is approximately 2.70
We know that the ones place will be a two. That doesn’t change when you convert. Next you need to divide 100 by 7, which equals 14. Then you need to do 14 times 5, which equals 70. So, now you know the values after the decimal point (.70). Combine that with the whole number 2 to get 2.70.
the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis. hope that helps.
