By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.
<h3>How to calculate the length of an arc</h3>
The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.
If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:
s = [(360π/180) - (52π/180)] · (6 in)
s ≈ 32.254 in
By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.
<h3>Remark</h3>
The statement has typing mistakes, correct form is shown below:
<em>Find the length of the arc EF shown in red below. Show all the work.</em>
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Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)
Answer:
The actual water in the tank is 29.76 gallons.
Step-by-step explanation:
It is given that the farmer estimated amount of water is 25 gallons.
It is also given that he underestimate the water in tank by 16%.
Let the actual water in tank be x.
Therefore the actual water in the tank is 29.76 gallons.
