The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
The area that's covered by the grass will be 7.065m²
The area of a circle is found by using the formula: = πr²
where, r = radius = 1.5m
π = 3.14
Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:
Area = πr².
Area = 3.14 × 1.5²
Area = 3.14 × 1.5 × 1.5
Area = 7.065m²
In conclusion, the area is 7.065m²
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It wouldn't affect the mean or the median.
Answer:
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Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos66° =
=
( multiply both sides by x )
x × cos66° = 13 ( divide both sides by cos66° )
x =
≈ 32.0 ( to the nearest tenth )