Answer:
14, 96,84
Step-by-step explanation:
8n - 16 + 6n = 180 {Supplementary angles}
<u>8n + 6n</u> -16 = 180
Combine like terms
14n - 16 = 180
Add 16 to both sides
14n = 180 + 16
14n = 196
Divide both sides by 14
n = 196/14
n = 14
8n - 16 = 8*14 - 16 = 112 - 16 = 96
6n = 6 *14 = 84
Two angles are complementary when they add up to 90 degrees<span>
</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9° ← smaller angle
larger angle = 9x = 9 * 9 = 81°
F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
20 is the answer to this problem
