When constructing an inscribed equilateral triangle, how many arcs will be drawn on the circle?

Mathematics

2 answers:

g100num [7]2 years ago

3 0

Solution-

The answer is 3 because an equilateral triangle has 3 equal sides and therefore there are 3 equal angles.

Each equal angle contains an arc of equal length.

so the answer is 3 that is option A is correct.

weeeeeb [17]2 years ago

3 0

the answer would be six since the triangle has three points and that would need to be doubled while creating line segments

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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand

LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

$\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158$