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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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What is the area of △ABC?
kirza4 [7]
Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)

3 0
3 years ago
12.Divide. (x^2+2x+1/x^2-8x+16)/(x+1/x^2-16
lina2011 [118]
For this case we have the following expression:
 (x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)
 Rewriting we have:
 (((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))
 Then, we cancel similar terms:
 ((x + 1) / (x-4)) / (1 / (x + 4))
 Rewriting:
 ((x + 1) (x + 4)) / (x-4)
 Answer:
 
((x + 1) (x + 4)) / (x-4)
3 0
3 years ago
PLEASE DONT GUESS I HAVE TO GET THIS QUESTION CORRECT!!! 20 POINTS
tankabanditka [31]

oops i just did :)


Point-slope form is y - y_1 = m (x - x_1) where x_1 and y_1 are the given coordinates and m is the slope. When you plug the given values into the equation you get y - 3 = 6 (x - 8) .


8 0
3 years ago
Could someone help me out with this problem I'm not that great at math​
VashaNatasha [74]

Answer:

Obtuse.

Step-by-step explanation:

4 0
2 years ago
Help NOW RIGHT NOW
olganol [36]
The answer is: A because
3 0
3 years ago
Read 2 more answers
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