Answer: 
Step-by-step explanation:
In the geometric sequence we can see each time we are dividing by 5. That is the same as multiplying by
so that is the common ratio.
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Answer:
1, 5
Step-by-step explanation:
-16/4=-4
10/5=2
1/2=1/2
-1/-3=1/3
-1/4/1/2=-1/2
The negative ones are your answer.
Answer:
7 hamsters at 5 pesos each and 13 hamsters at 8 pesos each
Step-by-step explanation:
5x + 8y = 139
x + y = 20
x = 20 - y
5x + 8y = 139
5(20 - y) + 8y = 139
100 - 5y + 8y = 139
100 + 3y = 139
3y = 139 - 100
3y = 39
3y/3 = 39/3
y = 13
x + y = 20
x + 13 = 20
x = 20 - 13
x = 7