Let, first term be a and common ratio is r.
So,
Sum of series,
a = 500( 1 - r )
Therefore, the value of common ratio is 0.916 .
Hence, this is the required solution.
Answer:
Step-by-step explanation:
First, you have to find x
KG and HK are equal
3x=x+8
Solve, and you get 4=x
plug that in to x+3
JL=7
LG is twice as long as JL
7*2=14
JL is 14
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Because the y-coordinates are the same in this parabola, it is a sideways-opening parabola, or one of the form
where p is the distance between the focus and the vertex. Our distance is 9-1 = 8, and the (h, k) of our vertex is (9, -2), therefore, the equation is
. Not sure how much you need to simplify this, but that's the standard form.
Answer:
x = 60.6 units
Step-by-step explanation:
Hi there!
In this right triangle, we're given the measure of an angle, the side opposite that angle and another side adjacent to that angle (that is not the hypotenuse). In this circumstance, we can use the tangent ratio to help us solve for the missing side:
Plug in the given information:
opp = 27, adj = x, θ = 24
Therefore, the length of the missing side is 60.6 units when rounded to the nearest tenth.
I hope this helps!