Answer:
8 feet
Step-by-step explanation:
First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.
Now use similar triangles to write a proportion:
22 / (24 + x) = 5.5 / x
Cross multiply:
22x = 5.5 (24 + x)
Distribute:
22x = 132 + 5.5x
Combine like terms:
16.5x = 132
Divide:
x = 8
The shadow is 8 feet long.
The answer would be 0.+0.7+0.01+0.009 hope it helps
Answer:
49m/s
59.07 m/s
Step-by-step explanation:
Given that :
Distance (s) = 178 m
Acceleration due to gravity (a) = g(downward) = 9.8m/s²
Velocity (V) after 5 seconds ;
The initial velocity (u) = 0
Using the relation :
v = u + at
Where ; t = Time = 5 seconds ; a = 9.8m/s²
v = 0 + 9.8(5)
v = 0 + 49
V = 49 m/s
Hence, velocity after 5 seconds = 49m/s
b) How fast is the ball traveling when it hits the ground?
V² = u² + 2as
Where s = height = 178m
V² = 0 + 2(9.8)(178)
V² = 0 + 3488.8
V² = 3488.8
V = √3488.8
V = 59.07 m/s
Answer:
They are both proportional.
Tank A = .00375 minutes/gallon
Tank B = 2/600 or ~0.003 minutes/gallon
Step-by-step explanation:
They are both proportional because as time increases, the amount of gallons increases.
Tank A unit rate
Tank B unit rate
Rate = rise / run
Choose points on the graph that has definite points.
Tank A = (1.5 mins - 0.75 mins) / 200 gallons
Tank A = .00375 minutes/gallon
Tank B = (2 mins - 0 mins) / 600 gallons
Tank B = 2/600 or .003 minutes/gallon
3 times because if he needs 3/4 cup the. you should use it 3 times. (3/4÷1/4=3)
