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Assoli18 [71]
3 years ago
9

Refer to the figure below to complete the following problem.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

C. 30°

Step-by-step explanation:

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Natalija [7]
Split up the interval [2, 5] into n equally spaced subintervals, then consider the value of f(x) at the right endpoint of each subinterval.

The length of the interval is 5-2=3, so the length of each subinterval would be \dfrac3n. This means the first rectangle's height would be taken to be x^2 when x=2+\dfrac3n, so that the height is \left(2+\dfrac3n\right)^2, and its base would have length \dfrac{3k}n. So the area under x^2 over the first subinterval is \left(2+\dfrac3n\right)^2\dfrac3n.

Continuing in this fashion, the area under x^2 over the kth subinterval is approximated by \left(2+\dfrac{3k}n\right)^2\dfrac{3k}n, and so the Riemann approximation to the definite integral is

\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n

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3 years ago
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3 years ago
Use the distance formula to find the distance, to the nearest tenth, from S(5,-4) to W(-3,7)
natali 33 [55]

Answer:

Distance (d) =13.6

Step-by-step explanation:

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(5,-4)=(x_1,y_1)\\(-3,7)=(x_2,y_2)\\\\d=\sqrt{\left(-3-5\right)^2+\left(7-\left(-4\right)\right)^2}\\\\d=\sqrt{(-3-5)^2+(7+4)^2}\\\\d=\sqrt{(-8)^2+(11)^2}\\\\d=\sqrt{64+121}\\\\d=\sqrt{185}    \\\\d = 13.60147\dots \\\\\\d =13.6

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2 years ago
8Which rate is equivalent to 72 over 9
otez555 [7]

Answer:

72/9 is equivalent to 8/1 is the answer.

Step-by-step explanation:

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3 years ago
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