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MariettaO [177]
3 years ago
13

Solve using trigonometry, find missing side

Mathematics
1 answer:
babymother [125]3 years ago
8 0

Answer:

Step-by-step explanation:

1. sin 30 = x/16

   x= 16 sin 30

   x = 8

2. cos 60 = 22/x

   x = 22/cos 60

   x = 44

3. tan 45 = x/19

  x = 19 tan 45

   x= 19

4. tan 16 = x/13

   x = 13 tan 16

   x= 3.73

5. sin 54 = x/45

  x = 45 sin 54

  x= 36.41

6. sin 35 = z/23

 z =   23 sin 35

  z = 13.19

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By finding the maximum common factor between the number of spoons, we conclude that he must put 6 teaspoons per bag.

There will be 8 bags in total.

<h3>How many teaspoons of spice should the clerk put in each bag?</h3>

We know that the store clerk has 18 teaspoons of cinnamon and 30 spoons of nutmeg.

Now, we want to put these in bags, such that each bag contains the same number of teaspoons.

Then the number of teaspoons per bag must be a common factor of 30 and 18. (the minimum number of bags is what we get when we select the maximum common factor).

Decomposing these two numbers gives:

30 = 2*3*5

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Then the maximum common factor is 2*3 = 6

This means that we need to put 6 teaspoons per bag.

And the total number of teaspoons is 30 + 18 = 48, dividing that by 6 we get:

48/6 = 8

There will be 8 bags.

If you want to learn more about common factors:

brainly.com/question/219464

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5 0
2 years ago
1. Factor the expression 3x^3 + 4x^2 - 15x - 20 Please show work!
SOVA2 [1]
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7 0
3 years ago
LeAnn is playing a math game. She chooses three cards. The value of each of her cards is shown.
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Answer:

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Returns to scale focuses only on the relationship between input and output quantities. Returns to scale is the variation, or change, in productivity that is the outcome from a proportionate increase of all the input.

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