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Montano1993 [528]
3 years ago
8

A central angle in a circle with radius 7 inches has the measure θ , in radians. The length of the arc subtended by the central

angle is 5π/3 inches.
What is the value of θ , rounded to the nearest tenth of a radian?

θ≈

You get 25 points if answered :)
Mathematics
1 answer:
Ahat [919]3 years ago
6 0
The relationship between arc, radius, and central angle in radians is:

Θ = s/r

So just plugging in the values:

Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7
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(2.5 points) The probability that an airplane accident which is due to structural failure is diagnosed correctly is 0.85 and the
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Answer: 0.51

Step-by-step explanation:

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p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)

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Leya [2.2K]

Answer:

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Step-by-step explanation:

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Set the first derivative equal to zero.

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Next, we use the endpoints and all critical points on the interval to test for any absolute extrema over the given interval.

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This is done by evaluating the function at x=1,2,5,6.

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F(6)=−2(6)³+21(6)²−60(6)=-36

The maximum will occur at the highest f(x) value and the minimum will occur at the lowest f(x) value.

Absolute Maximum: (5,-25)

Absolute Minimum: (2,-52)

The graph is attached.

The absolute minimum and maximum of f(x) are (2,-52) and (5,-25) respectively.

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