The sum of the first 6 terms of a geometric sequence is 7, 812. the common ratio is 5. what is the second term of the sequence?
1 answer:
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Option C:
x = 90°
Solution:
Given equation:
<u>To find the degree:</u>
Subtract 1 + cos²x from both sides.
Using the trigonometric identity:
Let sin x = u
Factor the quadratic equation.
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.
3,000 is 10 times as much as
3000 = 10 times of what number
We need to find 10 times what number gives us 3000
Let the unknown number be x
3000 = 10 times x
3000 = 10x
To solve for x, we divide by 10 on both sides
300 = x
So, the unknown number is 300
3000 = 10 times 300
3000 is 10 times as much as 300