The wire, the pole and the segment joining the leg of the pole to the wire in the ground form a right triangle whose hypotenuse is the wire, and the side opposite to the angle 36° is the pole.
By right triangle trigonometry, sin36°=(opposite side)/(hypotenuse.)
Substituting, we have 0.588=(opposite side)/220, thus the length of the opposite side, which represents the length of the pole, is
0.588*220 ft=129.3 ft
10% as a decimal would be .10
Answer:
Step-by-step explanation:
7 / 54 * 27/35 =
1/2 * 1/5 =
1/10 <===
Answer:
The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.
The constant is the total distance which is 180 km
Step-by-step explanation:
Step one:
given data
The distance between the two cities is 180km
1.The distance was covered by a car at the rate of 50km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/50
time= 3.6 hours
2.The distance was covered by a bus 45km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/45
time= 4 hours
3.The distance was covered by a bicycle at 25km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/25
time= 7.2 hours
Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.
Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.
5 - (-7) / -2 - 2
5 + 7 / -4
12/-4
-3
The slope is -3. The equation becomes y = -3x + b.
To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)
y = -3x + b
5 = -3(-2) + b
5 = 6 + b
-1 = b
The y-intercept is (0, -1). The equation can now be completed!
<h3>
Answer:</h3>
y = -3x - 1
