Answer:
Explanation:
The distance driven is directly proportional to the time:
Which can also be written as:
- distance₁ / time₁ = distance₂ / time₂
Here you have:
- time₁ = 1 + 2/3 hours = (3 + 2) / 3 hours = 5/3 hours
With that you can set up a proportion:
- 75 miles / (5/3) hour = x₂ / 1 hour
Solving for x₂ you get:
- x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
Answer:
x=20
Step-by-step explanation:
This is a right triangle, so we can use the pythagorean theorem to help us find x.
The the theorem states that the sum of the legs squared is equal to the length of the hypotenuse squared.
Thus, our equation is:
x^2+48^2=52^2
Simplify.
x^2+2304=2704
Subtract 2304 from both sides.
x^2=400
Find the square root of both sides.
x=20
Answer:
The height of this cube-shaped water tank is 35 m.
Step-by-step explanation:
The formula for the volume of a cube of side length s is V = s^3.
Here V = s^3 = 42,875 m^3.
Taking the cube root of both sides, we obtain the side length, s:
s = ∛(42,875 m^3) = 35 m
The height of this cube-shaped water tank is 35 m.
