Answer:
<h2>x = 10√3</h2>
<u>Step-by-step explanation:</u>
cos 45° = base / hypotenuse
1/√2 = base / 15√2
15√2 = base√2
Base, = 15
sin 60° = perpendicular / hypotenuse
hypotenuse = x
√3/2 = 15 / x
x √3 = 30
x = 30 / √3
x = 10√3
It will be (6,4) all u do is slip it over t he x-axis
Answer: oh
Step-by-step explanation:
-7.1+-5.8=-12.9
hope this helps :)
Answers:
x = -8/5 or x = 8/5
Sum of the first ten terms where all terms are positive = 4092
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Explanation:
r = common ratio
- first term = 4
- second term = (first term)*(common ratio) = 4r
- third term = (second term)*(common ratio) = (4r)*r = 4r^2
The first three terms are: 4, 4r, 4r^2
We're given that the sequence is: 4, 5x, 16
Therefore, we have these two equations
Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.
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To find the sum of the first n terms, we use this geometric series formula
Sn = a*(1 - r^n)/(1 - r)
We have
- a = 4 = first term
- r = 2, since we want all the terms to be positive
- n = 10 = number of terms to sum up
So,
Sn = a*(1 - r^n)/(1 - r)
S10 = 4*(1 - 2^10)/(1 - 2)
S10 = 4*(1 - 1024)/(-1)
S10 = 4*(-1023)/(-1)
S10 = 4092
