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Soloha48 [4]
2 years ago
8

Find the value of x. Write your answer in simplest form. x =

Mathematics
1 answer:
faust18 [17]2 years ago
4 0

Answer:

  x = 7

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = x/14

  x = 14·sin(30°) = 14·0.5 . . . . . multiply by 14 and evaluate

  x = 7

_____

<em>Additional comment</em>

The triangle shown is a 30°-60°-90° triangle. The ratios of sides, shortest-to-longest, are ...

  1 : √3 : 2

As we have seen here, the shortest side is 1/2 the length of the longest side, so x = 14/2 = 7.

This triangle and these ratios show up often, so it can be worthwhile to remember these ratios.

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Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)
Norma-Jean [14]
-8
2/3(-21/3) + 2/3(-15/3)
-42/9 + -30/9
-72/9 = -8
7 0
3 years ago
Find and label -0 on the number line. Explain.<br><br> Does -0 just mean 0?
poizon [28]

The opposite of the number 0 that is -0 on the number line will be equal to 0 itself.

A number line may be defined as a scale consisting of numbers labelled from 0 to 9 which are used to plot or mark different points for various entities. Number line extends from 0 to 9 in the positive side that is usually taken as right-hand side and it extends from 0 to -9 in the negative side that is usually taken as the left-hand side. The numbers on the right-hand side of number line have their opposites on the left-hand side. The opposite of a number x is taken as -x. For example, the opposite of 4 is taken as -4 and 4 lies on right-hand side whereas -4 lies on left-hand side. 0 lies on the center of number line and is taken as the main point. It is neither positive nor negative so the opposite of 0 is 0. The figure of number line is attached.

Learn more about Number line at:

brainly.com/question/11064576

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4 0
11 months ago
8. The scatter plot shows a hiker's elevation above
g100num [7]

Answer:

The hiker's elevation  after 145 minutes will be 1958 meters.

Step-by-step explanation:

The equation of the trend line of the scatter plot showing a hiker's elevation is y = 8.77x + 686 .......... (1), where x is in minutes (say) and y is in meters (say).

Now, we have to predict the hiker's elevation after 145 minutes.

So, from equation (1) we get, y = 8.77 × 145 + 686 = 1957.65 ≈ 1958 meters. (Answer)

3 0
3 years ago
Please read and answer the problem and show your work
PilotLPTM [1.2K]

Answer:

x > -4.

Step-by-step explanation:

Solving for x by dividing -3 to both side leaving x by itself.

When dividing or multiplying a negative value that has a variable the inequality switches sides. Instead of x < -4 it is x > -4. For more information or to understand inequality search for inequality video online.

7 0
2 years ago
Annette plans to visit an amusement park where she must pay for admission and
natulia [17]

Answer:

...

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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