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3 years ago

HELP DUE IN 30 MINS!

Mathematics

2 answers:

qaws [65]3 years ago

6 0

Answer:

relationship between base and perpendicular is given by tan angle

tan angle = perpendicular/base

tan angle =21/41

angle =tan -¹(21/41)=27

Bond [772]3 years ago

3 0

Answer:

Step-by-step explanation:

In a right angle triangle, the tan is defined as opposite side / adjacent side of the reference angle

The reference angle is ?

The opposite side is 21

The adjacent side is 41

Tan(?) = 21/41

Tan(?) = 0.5122

? = tan-1(0.5122)

? = 27.12 rounded to the nearest degree = 27

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3 years ago

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Hoochie [10]

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3 years ago

A bag contains 17 cards numbered 1 through 17. A card is randomly chosen from the bag. What is the probability that the card has

enyata [817]

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Step-by-step explanation:

Step 1: write all numbers from 1 to 17:

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3 years ago

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3 years ago

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Eight measurements were made on the inside diameter of forged piston rings used in an automobile engine. The data (in millimeter

marusya05 [52]

Answer: The sample mean and sample standard deviation is 74.004 millimeters and 0.005 millimeters respectively.

Step-by-step explanation:

The given values : 74.001, 74.003, 74.015, 74.000, 74.005, 74.002, 74.007, and 74.000.

$\text{Mean =}\dfrac{\text{Sum of all values}}{\text{Number of values}}\\\\\Rightarrow\overline{x}=\dfrac{ 592.033}{8}=74.004125\approx74.004$

The sample standard deviation is given by :-

$\sigma=\sum\sqrt{\dfrac{(x-\overline{x})^2}{n}}\\\\\Rightarrow\ \sigma=\sqrt{\dfrac{0.000177}{8}}=0.00470372193056\approx0.005$

Hence, the sample mean and sample standard deviation is 74.004 millimeters and 0.005 millimeters respectively.

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3 years ago