Answer:
see below
Step-by-step explanation:
The answer choices all start with ΔYHB. The first two letters (YH) identify the longest leg, and the right-angle vertex (H) is named second.
Using this same naming convention, the other two right triangles in the figure are ...
ΔYDH and ΔHDB
The similarity statement identifying these triangles as being similar is the one shown below.
This is the concept of volumes of solid materials, to get the amount of wax needed to make the candle we will require to calculate for the volume of the candle.
volume=πr^2h
since we are given the circumference of the candle we need to get the radius first;
C=πd
C=31.416 cm
31.416=πd
d=31.416/π
d=10.0000 cm
Therefore the radius will be 5 cm.
The volume of the wax required to make the candle will be:
V=πr^2h
V=π*5^2*13
V=1,021.02 cm^3
Answer:
15%
Step-by-step explanation:
200,000-170,000=30,000
30,000/200,000=0.15, or 15%
Answer:
1) 1/4
2) 3/5
Step-by-step explanation:
1) The rate of change is basically the slope, and you can find the slope by doing:
change in y/change in x
I started with the point (0,-2) because it's on the line
It goes up 1 and left 4 to get to the second point on the line
So change in y/change in x = 1/4 (this is the rate of change)
2) This is basically the same thing, but you need to do some subtraction.
Change in y = -9-(-3) = -6
Change in x = -5 - 5 = -10
Change in y/change in x = 3/5 (this is the slope or rate of change)