<h3>
Answer: 54 degrees (third choice)</h3>
Explanation:
AB is a diameter of circle C. This leads to angle ACB being 180 degrees. By Thales Theorem (a special case of the inscribed angle theorem) we know that angle D is 90 degrees.
Therefore, triangle ADB is a right triangle. The acute angles (A and B) add to 90, and we can say they are complementary angles.
A+B = 90
36+B = 90
B = 90-36
B = 54 degrees
We have that
sin ∅=-0.7660
the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428
tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917
the answer is
tan ∅ is 1.1917
Answer:
C. 60
Step-by-step explanation:
x + 10 = 70
Subtract 10 from both sides
x + 10 - 10 = 70 -10
Simplifying
x = 60
15:4.
Step-by-step explanation:
1 hour = 60 min
3 hours = 60 x 3 = 180 min
Ratio:
180/48
Simplest form 15/4
Therefore, the simplest form of the ratio will be 15:4
