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KatRina [158]
3 years ago
5

ABCD is a trapezium AD and BC are parallel

Mathematics
2 answers:
Orlov [11]3 years ago
3 0

Part (a)

<h3>Answer:  12.1</h3>

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

<h3>Answer:  15.1</h3>

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\

d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\

Segment CD is roughly 15.1 cm long.

Anarel [89]3 years ago
3 0

Answer:

A) 12.1 cm

B) 15.1 cm

Step-by-step explanation:

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A) Change in profit for each owner = -780/8

B) Change in profit for each owner = -$130

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The change in profit for each owner will be the original profit less 780/6

That is -780/6

Evaluating -780/6

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Learn more here: brainly.com/question/17858380

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3 years ago
Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA
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Answer:

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So then the best answer for this case would be:

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Step-by-step explanation:

For this case we have the following probabability distribution function given:

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A= 4.0       0.2

B= 3.0       0.5

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Total          1.00

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

If we use the definition of expected value given by:

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And if we replace the values that we have we got:

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C. 2.78

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3 years ago
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<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

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Step-by-step explanation:

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