The dimensions of the rectangle are:
Length = 14.75 m
Width = 10.75 m
<h3>What is the Perimeter of a Rectangle?</h3>
The total length of a rectangle is gotten by adding all it's side lengths together. The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length+ width).
The dimensions for a rectangle is given as:
Perimeter = 51 meters
Length of rectangle = L meters
Width of rectangle = (L - 4) meters.
Therefore:
2(L + (L - 4)) = 51
2(L + L - 4) = 51
2(2L - 4) = 51
4L - 8 = 51
4L = 51 + 8
4L = 59
L = 59/4
L = 14.75
Length of rectangle = 14.75 m
Width of rectangle = (L - 4) = 14.75 - 4 = 10.75 m
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Answer:
a. 0.9 Hz b. 0.37 Hz
Step-by-step explanation:
The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum
a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2
To find f on Earth, g = 32 ft/s² and l = 1 ft
So, f = (1/2π)√(g/l)
f = (1/2π)√(32 ft/s²/1 ft)
f = (1/2π)√(32/s²)
f = (1/2π)(5.66 Hz)
f = 0.9 Hz
b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.
On the moon when acceleration due to gravity g' = g/6,
f = (1/2π)√(g'/l)
f = (1/2π)√(g/6l)
f = (1/2π)√[32 ft/s²/(6 × 1 ft)]
f = (1/2π)√(32/s²)/√6
f = (1/2π)(5.66 Hz)/√6
f = 0.9/√6 Hz
f = 0.37 Hz
Answer:
C. 60°
Step-by-step explanation:
by definition, every single interior angle of an equilateral triangle is always 60°
