Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
to change from degrees to radians
multiply by pi/180
136 * pi/180 = 136/180 * pi
now simplify
34/45 * pi
.755556 * pi pi=3.14159
2.373648
to the nearest hundredth
2.37 radians
First you do 3 + 4 + 5 = 12, so there are 12 parts to this ratio.
48 / 12 = 4, this means that each part of the ratio is worth 4 inches.
The longest side is worth 5 parts of the ratio.
4 * 5 = 20 inches
Answer:
13x + 2
Step-by-step explanation:
19x - 6x + 2 = (19x - 6x) + 2 = 13x + 2