Answer:
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Step-by-step explanation:
- Direct proportion means that two quantities increase or decrease in the same ratio
- If y is directly proportional to x (y ∝ x) , then
<em>OR</em> y = k x, where k is the constant of proportionality
∵ The stopping distance d of an automobile is directly
proportional to the square of its speed s
- That means d ∝ s²
∴ 
∵ A car requires 75 feet to stop from a speed of 30 miles per hour
∴ d = 75 feet
∴ s = 30 miles/hour
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour
∵ The car require to stop from a speed of 48 miles per hour
on the same road
- Change the mile to feet
∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour
∵ 
- Substitute the values of
by 75 feet,
by 158400 feet/hour
and
by 253440 feet/hour
∴ 
∴ 
- By using cross multiplication
∴ 25 ×
= 75 × 64
- Divide both sides by 25
∴
= 192 feet
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y
plug in 2y for x
2y + y = 90
3y = 90
3y/3 = 90/3
y = 30
plug in 30 for y
x = 2y
x = 2(30)
x = 60
x (the largest angle) = 60°
hope this helps
Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
40,600x10=406,000 lol dude its easy
Answer:
the second one
Step-by-step explanation: