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Angelina_Jolie [31]
4 years ago
11

Can u tell me which one is the median in here??

Mathematics
1 answer:
ki77a [65]4 years ago
4 0

Answer:

-1

Step-by-step explanation:

To calculate the median, you select the middle number. So first, we must put the numbers in order

-23, -20, -16, -<u>1,</u> -1, 10, 10

The middle number is -1. (there are 3 numbers either side)

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How is the area of a sail related to the weight of the pilot on a hang glider?
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Solve the triangle. Round your answers to the nearest tenth.
mixas84 [53]

Answer:

Angles: \angle A = 43^{\circ}   \angle B = 55^{\circ}    \angle C = 82^{\circ}

Sides: BC = 20   AB = 29   AC =24

Step-by-step explanation:

See attachment for complete question

From the attachment, we have:

AB = 29

AC =24

\angle C = 82^{\circ}

Required

Complete the missing side and missing angles

To calculate angle B, we apply sine laws:

\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

In this case:

\frac{AB}{sinC}=\frac{AC}{sinB}

This gives:

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\frac{29}{0.9903}=\frac{24}{sinB}

Cross Multiply

sinB * 29 = 24 * 0.9903

Divide both sides by 29

sinB  = \frac{24 * 0.9903}{29}

sinB  = 0.8196

Take arcsin of both sides

B  = sin^{-1}(0.8196)

B = 55^{\circ}

So:

\angle B = 55^{\circ}

To solve for the third angle, we make use of:

\angle A + \angle B + \angle C = 180^{\circ}

This gives:

\angle A + 55^{\circ} + 82^{\circ} = 180^{\circ}

\angle A + 137^{\circ}= 180^{\circ}

\angle A = 180^{\circ}- 137^{\circ}

\angle A = 43^{\circ}

Hence, the angles are:

\angle A = 43^{\circ}   \angle B = 55^{\circ}    \angle C = 82^{\circ}

To calculate the length of the third side, we apply cosine law

BC^2 = AB^2 + AC^2 - 2*AB*AC*cosA

BC^2 = 29^2 + 24^2 - 2*29*24*cos(43^{\circ})

BC^2 = 841+ 576 - 1392*cos(43^{\circ})

BC^2 = 841+ 576 - 1392*0.7314

BC^2 = 841+ 576 - 1018.11

BC^2 = 398.89

Take the square root of both sides

BC = \sqrt{398.89

BC = 19.9722307217

BC = 20

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