Answer:
Her usual driving speed is 38 miles per hour.
Step-by-step explanation:
We know that:
In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.
We have that:
At speed s, she takes two hours to drive. So
However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.
228 minutes is 3.8 hours. So
So
Her usual driving speed is 38 miles per hour.
Answer:
D.24
Pythagorean states:
hypotenuse^2 = side1^2 + side2^2
30^2 = 18^2 + side2^2
side2^2 = 30^2 - 18^2
side2^2 = 900 - 324
side2^2 = 576
side2 = sqr root 576
side2 = 24
Source: http://www.1728.org/pythgorn.htm
Step-by-step explanation:
17/30 or .56 is your correct answer
Answer:
Option A
Step-by-step explanation:
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = 6² + 5²
AC = 
Similarly, by applying Pythagoras theorem in ΔACD,
AD² = AC² + CD²
(10)² = 
+ x²
x² = 100- 61
x² = 39
x = √(39)
Option A will be the answer.
Answer:
x = -48
Step-by-step explanation:
4x + 2 = 5(x + 10)
expand the 5(x+10)
4x + 2 = 5x + 50
-2 both sides
4x + 2 - 2 = 5x + 50 - 2
simplify
4x = 5x + 48
-5x both sides
4x - 5x = 5x + 48 - 5x
simplify
-x = 48
÷ (-1) both sides
-x ÷ (-1) = 48 ÷ (-1)
simplify
x = -48
The answer is x = -48.
