Answer: yes
Step-by-step explanation:
Answer:
765 miles
Step-by-step explanation:
Find the rate (mph) and then multiply the result by 9 hours:
340 mi
------------- * 9 hrs = 765 miles
4 hrs
9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
<em>Comment on the figure</em>
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
At first, we need to find x.
QR = LN
2x+1 = 3x-7
x=8
Substitute value of a=8 into QR = 2x+1.
QR = 2*8+1 = 17
QR =17
Adam has a greater rate of change, as seen by the larger slope. This means Adam is traveling faster than Katia.