Step-by-step explanation:
Distance = rate × time
If B is the rate of the boat, and C is the rate of the current, then we can write two equations:
18 = (B + C) × 3
18 = (B − C) × 9
Simplifying the equations:
6 = B + C
2 = B − C
Add the equations together to eliminate C:
8 = 2B
B = 4
Plug into either equation to find C:
C = 2
The boat's rate is 4 mph, and the current's rate is 2 mph.
0 is the difference
<span>|-5| = 5
5 - (-5) = 0
</span>
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tanx = 
Consider the left side
← divide terms on numerator/denominator by cotA
= 
= 
= right side , thus proven
Answer:
x = 177/8
Step-by-step explanation:
First, we must get rid of the fraction by multiplying 8 by both sides.
8 · 1/8(8x + 15) = 24 · 8
1(8x + 15) = 192
8x + 15 = 192
Then we simplify. First subtract 15 from both sides.
8x + 15 - 15 = 192 - 15
8x = 177
Then divide 8 from both sides.
8x/8 = 177/8
x = 177/8
The highest common factor is 48.
