(198 km/hr) x (1000 m/km) x (1 hr / 3600 sec) =
198,000/3,600 m/sec = <em>55 m/s</em>
At that rate in 10 sec, (55) x (10) = <em>550 meters</em> are covered.
Answer:
x = 30°
y = 115°
Step-by-step explanation:
Given = AB ║ DC
∠A = 2x + 10
∠B = 65
∠C = y
∠D = 3x + 20
( AD is the transversal on the parallel lines AB and DC)
∴ ∠A + ∠D = 180 and ∠B + ∠C = 180
(1) ∠A + ∠D = 180
2x + 10 + 3x + 20 = 180
5x + 30 = 180
5x = 180 - 30 = 150
x = 150÷5
x = 30°
(2) ∠B + ∠C = 180
65 + y = 180
y = 180 - 65 = 115
y = 115°
Top left graph. Shows every gallon of gas gets 25 miles.
Answer: Leanna ran 40.08 miles before she was passed by Irina.
Step-by-step explanation:
Let t represent the number of hours that Leanna ran before she was passed by Irina.
Leanna started in group E and ran at a rate of 4.8 miles per hour.
Distance = speed × time
Distance that Leanna ran in t hours is
4.8 × t = 4.8t
During the race, she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes after Leanna started. 20 minutes = 20/60 = 1/3 hours. This mean that the number of hours that Irina ran before she passed Leanna is (t - 1/3) hours.
Distance that Irina ran would be
5(t - 1/3) = 5t - 5/3
Since they covered the same distance, then
4.8t = 5t - 5/3
5t - 4.8t = 5/3
0.2t = 1.67
t = 1.67/0.2 = 8.35 hours
Distance that Leanna ran before she was passed by Irina is
4.8t = 4.8 × 8.35 = 40.08 miles
6x - 3y = 3 will be graph 1
4x - 2y = 8 will be graph 2