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eduard
3 years ago
14

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank

stepped on it. How far did the needle travel as it rotated?
Mathematics
2 answers:
Lana71 [14]3 years ago
7 0

Answer: 100(pi)/9

Step-by-step explanation:

We use the equation (theta/360)(2)(pi)(r)

Theta = 100 (100 degrees of a 360 degree circle)

r = 10 (not 20 because that is the whole needle, we need half of 20 for the radius)

Plugging this in: 100/360 (2)(pi)(10)

2,000(pi)/360

Divide by 20 to simplify:\frac{100\pi}{9}

Mashutka [201]3 years ago
4 0
Given:
length of the needle: 20 cm
angle 100°

We need to solve for the length of an arc to get the distance the needle has traveled.

Length of an Arc = n°/360° * 2πr
Length of an Arc = 100°/360° * 2 * 3.14 * 20cm
Length of an Arc = 0.28 * 125.6 cm
Length of an Arc = 35.17 cm
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Step-by-step explanation:

Hello!

You have the following hypothesis:

H₀: ρ = 0.4

H₁: ρ < 0.4

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Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

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