Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° = 
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b = 
≈ 7.5 ( to the nearest tenth )
sin39° = 
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c = 
≈ 28.0 ( to the nearest tenth )
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
They had 120 members last year meaning the membership just increased with 2% making it 200%
Answer:
<h2>
</h2>
Step-by-step explanation:
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
<u> Result</u>
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
<h2><u>
x = 145</u></h2>
