Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
3z + 9 + 142 = 4z + 5
3z + 151 = 4z + 5
-z + 151 = 5
-z = -146
z = 146
answer is B
exactly one solution
The three angles of a triangle add up to 180.
Since you know that two angles add up to 80, you know that the third angle is 100.
Use the law of cosines.
a2+b2−2abcosC=c2
Find the measure of angle C. It is the opposite side of c.
c2−a2−b2−2ab=cosC
cosC=13.62−22.52−182−2(22.5)(18)≈0.797
C=cos−10.797=0.649 rad=37.19∘
angle B:
a2+c2−2accosB=b2
cosB=b2−a2−c2−2ac
B=cos−1b2−a2−c2−2ac=cos−1182−22.52−13.62−2(22.5)(13.6)≈0.927 rad=53.13∘
angle A:
b2+c2−2bccosA=a2
A=89.68∘
ANSWER
Quadrant I
EXPLANATION
In the first quadrant all the trigonometric ratios are positive.
This implies that,both tanθ and secθ are positive in the first quadrant.
No two trigonometric ratios are positive in any other quadrant apart from the first quadrant.