Given OQ below, is YOR a minor arc, a major arc, or a semicircle?
1 answer:
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Answer:
Option 2:
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,
Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,
Therefore, the value of sine of 30° is one-half. So, second option is correct.
Answer:
Step-by-step explanation:
Notice that all three sides of the given triangle has one tick mark.
This means that all three sides are congruent, meaning that we have an equilateral triangle.
And for equilateral triangles, all three angles are also congruent.
So:
Also, recall that the interior angles of a triangle is always 180. Thus:
Substitute:
Combine like terms:
Substitute:
Multiply:
Thus:
And we are done!