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Answer:
20
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:
Here, the integral is ∫₀² 9ˣ dx, and the number of subintervals is n = 4.
So Δx = 2/n = 1/2, and x = 2(k−1)/n = (k−1)/2.
Plugging in:
∑₁⁴ 9^((k−1)/2) (1/2)
1/2 ∑₁⁴ 9^((k−1)/2)
1/2 (9^((1−1)/2) + 9^((2−1)/2) + 9^((3−1)/2) + 9^((4−1)/2))
1/2 (9^(0) + 9^(1/2) + 9^(1) + 9^(3/2))
1/2 (1 + 3 + 9 + 27)
20
Answer:
Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:
A. octagon.
Step-by-step explanation:
We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:
Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.
i.e. we have:
Hence, the number of sides of a polygon are 8.
Hence, the polygon is:
A. octagon.
( Since a polygon with 8 sides is called a octagon)