Answer:

Step-by-step explanation:
Using the distance formula, we see that the distance between (-4,4) and (-7,3) is
.
Answer:
725.7
Step-by-step explanation:
you multiply 682.98 x 6.25% and get 42.68625
then you add 682.98 + 42.68625 and get 725.66625
then you have to round to the nearest hundredth and get 725.7.
Answer:

Step-by-step explanation:
Tan can be defined as:
as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.
Using this we can define tan

Answer:
<u>Rule for rotation 180° about the origin:</u>
<u>Given coordinates:</u>
- U(1, 0), V(4, -1), T(1, -3)
<u>Coordinates of the image, apply the rule above:</u>
- U'(-1, 0), V'(-4, 1), T'(-1, 3)
Find the volume of the candle using the formula for volume of a cylinder:
V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8
Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.
Now divide the volume of the block by the volume of a candle:
3240 / 217.8 = 14.88
Round to the nearest tenth = 14.9 candles.