Step-by-step explanation:
The sum of complementary angles is 90°,
Let 1st be 30x then other is 5x,
30x+5x=90°
➡️ 35x=90°
➡️ x=90°/35=(18/7)°
THUS THE FIRST ANGLE =30*18/7=540/7°
AND SECOND =5*18/7=90/7°
Answer:
n= 42
Step-by-step explanation:
divide 420 by 10n and you get 42
Answer:
8th term is 179.15904
Step-by-step explanation:
The sequence is geometric with a common ration = 6/5
r = 60/50 = 72/60 = 6/5
Use the formula
![a_{n} = ar^{n - 1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20ar%5E%7Bn%20-%201%7D)
In your case a = 50, r = 6/5 and n = 8
![a_{8} = 50(6/5)^{8 - 1} \\ = 50(6/5)^{7} \\ = 50(279936/78125)\\ = 179.15904](https://tex.z-dn.net/?f=a_%7B8%7D%20%3D%2050%286%2F5%29%5E%7B8%20-%201%7D%20%5C%5C%20%20%20%20%20%20%20%20%20%20%3D%2050%286%2F5%29%5E%7B7%7D%20%5C%5C%20%20%20%20%20%20%20%20%20%20%3D%20%2050%28279936%2F78125%29%5C%5C%20%20%20%20%20%20%20%20%20%20%3D%20%20%20179.15904)