The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
2 answers:
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First, let's get the perimeter of the rectangle:
Then, let's get the area of the bigger one:
Then let's try using a rectangle with a smaller ratio:
Then:
If you used a square:
There you have it. A rectangle with a smaller area with the same perimeter.
What does it show? The smaller the difference you get from width and length, the larger the area is.
Then, let's get the area of the bigger one:
Then let's try using a rectangle with a smaller ratio:
Then:
If you used a square:
There you have it. A rectangle with a smaller area with the same perimeter.
What does it show? The smaller the difference you get from width and length, the larger the area is.
Answer:
# after 5 seconds, the ball strikes the ground
# The ball reaches maximum height at t = 1.5 seconds
# The max height is 196 feet
Step-by-step explanation:
The equation is:
t is the time
d(t) is the distance traveled
Initial height is 160 feet and initial velocity is 48 ft/sec
If we want to find the time it takes the ball to hit the ground, we let d(t) equal to 0 and find t. Shown below:
We disregard t = -2 since time can't be negative. We take t = 5
Thus, after 5 seconds, the ball strikes the ground.
The equation is a quadratic of the form:
Matching equations, we can say:
a = -16
b = 48
c = 160
The time when ball reaches max height is given as:
Substituting, we find:
The ball reaches maximum height at t = 1.5 seconds
The max height can be found by putting t = 1.5 into the original equation. Shown below:
The max height is 196 feet