A means x
b means y
so (-,+) is <span>quadrant II</span>
answer is <span>B)
II. </span>
What are the options for the fill in the blanks?
Answer:
2.36 * 10^13 miles
Step-by-step explanation:
Given that :
Proxima centauri is at a distance of 4.24 light years away from the sun.
Distance in miles of Proxima centauri from the sun ;
1 light year = 5.9 * 10^12 miles
Number of light years from the sun * 5.9 * 10^12
= 4 * (5.9 * 10^12)
= 23.6 * 10^12 miles
= 2.36 * 10^13 miles
∠B = 77°, a = 7.42 and b = 12.61
Solution:
Given triangle ABC.
∠A = 35°, ∠C = 68°, c = 12
To find the measure of ∠B:
Sum of all the angles of the triangle = 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ 35° + ∠B + 68° = 180°
⇒ 103° + ∠B = 180°
⇒ ∠B = 180° – 103°
⇒ ∠B = 77°
To find the length of a and b:
The side opposite to angle A is a.
The side opposite to angle B is b.
Using law of sine,



Do cross multiplication, we get

Divide by 0.9271 on both sides, we get
⇒ a = 7.42
Again by law of sine,



Do cross multiplication, we get

Divide by 0.9271 on both sides, we get
⇒ b = 12.61
Hence ∠B = 77°, a = 7.42 and b = 12.61.