Area of sector is 17.584 meters
<em><u>Solution:</u></em>
Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m
Diameter = 12 m
Radius = Diameter / 2 = 6 m
An angle of 56 degrees is the fraction
of the whole rotation
A sector of a circle with a sector angle of 56 degrees is therefore also the fraction
of the circle
The area of the sector will therefore also be
of the area

Thus area of sector is 17.584 meters
Answer:
-3.98 (nearest hundredth)
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

Given interval: -2 ≤ x ≤ 2




Substituting the values into the equation:

25 hope it helps have a great day :)
Answer:
PQ = 3.58, and RQ = 10.4
Step-by-step explanation:
We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.
Hypotenuse = 11,
Opposite side is PQ
Adjacent side is RQ
x = 19
Sin x = (opposite side)/(hypotenuse)
Cos x = (adjacent side)/(hypotenuse)
For PQ, this is the side opposite to the angle, so use sin,
Sin 19 = x/11
11(Sin 19) = x
3.58 = x (rounded to the nearest hundredth)
For RQ, this is the side adjacent to the angle, so use cos,
Cos 19 = x/11
11(Cos 19) = x
10.4 = x (rounded to the nearest hundredth)
Answer:
Note: <em>The full question is attached as picture below</em>
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1. The manufacturer is taking a sample of her friends, which is most convenient to sample - Convenience sampling
2. The whole population is divided into different groups (strata) and random samples are drawn from each group - Stratified sampling
3. The population is divided into different clusters (here, communities) and whole clusters are surveyed - Cluster sampling
4. The samples are drawn at a fixed interval from the population list - Systematic sampling
5. The samples are randomly drawn from the population - Simple random sampling