Answer:
X = 89.92° or 90.08°
Step-by-step explanation:
The law of sines can be used to find the value of angle X:
sin(X)/26 = sin(67.38°)/24
sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787
There are two values of X that have this sine:
X = arcsin(0.99999901787) ≈ 89.92°
X = 180° -arcsin(0.99999901787) ≈ 90.08°
There are two solutions: X = 89.92° or 90.08°.
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<em>Comment on the problem</em>
We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.
The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...
arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°
This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.
Hey there!
To start, first subtract 45 from 60 to find the amount of money taken off from the discount:
60-45
=15
Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:
15/60=x/100
Now, cross multiply and solve for x:
1500=60x
x=25
Therefore, your discount would be 25%.
Hope this helps and have a marvelous day! :)
Ok, So:
10x3=30-3=27
It Would Be 27
Answer:
13.4
Step-by-step explanation:
AB =2DC
So, DC=AB/2
Now, AB/AC=DE/DC
AB/28=13/(AB/2)
AB²=13×28×2
AB=√728
AB=26.98
now, DC=AB/2
=13.4
Answer:
The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable