The diagonals of a square are _____. A. Sometimes equal B. Never congruent C. Parallel D. Perpendicular

Mathematics

2 answers:

Levart [38]2 years ago

6 0

<u>Answer:</u>

The correct answer option is D. perpendicular.

<u>Step-by-step explanation:</u>

The diagonals of a square are perpendicular.

A square is a shape which has parallel sides (not parallel diagonals), has diagonals that are perpendicular bisector of each other and also its diagonals are congruent.

So according to these properties of square, options A, B and C are wrong and we are left with option D which is the correct one.

Roman55 [17]2 years ago

3 0

Answer:

Step-by-step explanation:

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The output of a process is stable and normally distributed. If the process mean equals 23.5, the percentage of output expected t

erastovalidia [21]

Answer:

Option a) 50% of output expected to be less than or equal to the mean.

Step-by-step explanation:

We are given the following in the question:

The output of a process is stable and normally distributed.

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We have to find the percentage of output expected to be less than or equal to the mean.

Mean of a normal distribution.

The mean of normal distribution divides the data into exactly two equal parts.

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50% of data lies to the right of the mean

Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.

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rodikova [14]

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The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$