If you flip the 30-60-90 triangles so they look similar, and find the difference between the length of 60, and the length of 40.
40÷60 =.6666 etc
You can prove this by plugging in
60 •.66666 = 39.9999 or about 40.
The triangle I started with had a length of 60, so just used the tangent of 60° to find the adjacent.
Since we know the relationship of the triangles,
Multiply your answer, 103.923 •.666666
Which equals 69.2819
69.2819 is the length of the 40 triangle.
Add them together, and you get 173.2049.
Or 173.20 m
Answer: Circumference: 69.08 Area: 379.94
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
m/n = 1/7
Using cross products
7m = n
This is a direct proportion
Answer: the speed of the current is 0.6 mph
Step-by-step explanation:
Let x represent the speed of the current.
James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)
Time = distance/speed
Time taken to travel downstream is
6/(3 + x)
In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is
4/(3 - x)
Since the time is the same, then
6/(3 + x) = 4/(3 - x)
Cross multiplying, it becomes
6(3 - x) = 4(3 + x)
18 - 6x = 12 + 4x
4x + 6x = 18 - 12
10x = 6
x = 6/10
x = 0.6 mph
Answer:
The first one/$9 an hour job.
Step-by-step explanation:
For every 32 hours he works at the $9 per hour job he makes $288.
On the other hand, for every 32 hours he works at the $7 per hour job he only makes $224.
So the only one that'll work where he gets at least $251 is the $9 an hour job.
<u>Hope this helps and have a nice day!</u>
