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3 years ago

what is the most appropriate center for 27 142 145 146 154 162 /12592106/70400e23?utm_source=registration

1 answer:

Klio2033 [76]3 years ago

6 0

<span>27 142 145 146 154 162

27 is definitely an outlier. You could temporarily drop it and focus on
</span>{142 145 146 154 162}. The median of this 5-numeral set is 146; it'd be a good "center." So would the mean (<span>142 +145 +146 +154 +162) /5. No one value shows up more than once, so forget about "mode."

</span>

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Please help!

UkoKoshka [18]

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
The angles in the rhombus are 44 and 46 degrees, respectively

<h3>How to determine the values of x?</h3>

<u>Triangle 1</u>

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

<u>Triangle 2</u>

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

<u>Triangle 3</u>

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

<h3>How to calculate the angles of the rhombus?</h3>

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively