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kvasek [131]
4 years ago
8

Jack is 20 miles due north of Edward. Sarah is due east of Edward. The angle between the direction of the shortest distance from

Sarah to Jack and due east is 25°. To the nearest mile, how far is Sarah from each man?

Mathematics
1 answer:
OLEGan [10]4 years ago
4 0

Answer:

The distance between Sarah and Jack is approximately 22 miles

The distance between Sarah and Jack is approximately 9 miles

Step-by-step explanation:

The explanation in the attached file

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What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer. Law of sines: answers
Dominik [7]

Answer:

\boxed{\text{2. 4.7 units}}

Step-by-step explanation:

Assume your triangle has the dimensions shown below.

Before we can use the Law of Sines, we must find ∠C.

1. Calculate ∠C

\begin{array}{rcl}A + B + C & = & 180^{\circ}\\66^{\circ} + 76^{\circ} + C & = & 180^{\circ}\\142^{\circ} + C & = & 180^{\circ}\\C & = & 38\, ^{\circ}\\\end{array}

2. Calculate b

Use the Law of Sines

\begin{array}{rcl}\dfrac{b}{\sin B } & = & \dfrac{c}{\sin C}\\\\\dfrac{b}{\sin 76^{\circ}} & = & \dfrac{3}{\sin 38^{\circ}}\\\\\dfrac{b}{0.9703} & = & \dfrac{3}{0.6157}\\\\ & = & 4.873\\b & = & 0.9703\times 4.873\\& = & \boxed{\mathbf{4.7}}\\\end{array}

7 0
3 years ago
What is the median. I have 3 more questions that have to deal with the median.
Rom4ik [11]

Answer:

<h2><u>47.5</u></h2>

Step-by-step explanation:

Median - The middle number in a list of numbers starting from least to greatest.

Knowing this, we can start.

The first step is to rewrite all the numbers from least to greatest

15, 19, 28, 32, 43, 52, 66, 72, 72, 81

Now cross off a number from the least and greatest until there is 1 or 2 numbers left

19, 28, 32, 43, 52, 66, 72, 72

28, 32, 43, 52, 66, 72

32, 43, 52, 66

43, 52

If you are left we 1 number, that is your answer. If you are left with 2 numbers, there is an extra step

In the case that you have 2 numbers, you need to add them together, and divide by 2

43 + 52 = 95

95 ÷ 2 = 47.5

Thus 47.5 is our answer

6 0
3 years ago
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Shtirlitz [24]

Answer:

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Step-by-step explanation:

We want to simplify;

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Let's rearrange it for ease of addition;

(9Sin A + 10sin A) + (3cosec A - 13Cosec A)

>> 19Sin A - 10cosec A

Now, from trigonometric ratios, we know that; Cosec A = 1/Sin A

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Thus, we now have;

19Sin A - (10/sin A)

6 0
3 years ago
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Multiplying by the 4 we put aside:

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3 years ago
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kondaur [170]
2/3 ÷ 4 = 2/3 * 1/4 = 2/12 = 1/6
5 0
3 years ago
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