Answer:

Step-by-step explanation:
I'm going to write 105 as a sum of numbers on the unit circle.
If I do that, I must use the sum identity for sine.


Plug in the values for sin(60),cos(45), sin(45),cos(60)



6 thirty-sixes -4 thirty-sixes = 2 thirty-sixes
2 thirty-sixes = 2•36 = 72
ANSWER
(-1, 8)
EXPLANATION
First we have to find the rule for this translation.
The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.
The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:

Therefore, the image of point (-3, 4) under the same translation is:
We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be
cm.



Now we will divide 70,650 cubic cm of wax by volume of one candle.



Therefore, 40 candles can be made from 70,650 cubic cm of wax.