9 - 6 + 4 - 8/3 ..,
geometric series a(n) = a1r^(n-1)
r = a(n+1)/a(n)
-6/9 = -2/3
4/-6 = -2/3
-8/3/4 = -2/3
so r = -2/3 and a1 = 9
Sn = a1(1-r^n)/(1-r) = 9(1-(-2/3)^n)/(1-(-2/3))
n is infinite Sn = 9/(5/3) = 27/5
Answer:
X
Step-by-step explanation:
CAUSE
2X=X
DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)
Let a and c be adults and children, respectively. Then:
a+c=500
5a+2c=1540
Solve for a and c
☺☺☺☺
Answer:
the first box is, 
the second box is 13.
-by-step explanation:
In a triangle, the hypotenuse is equal to the product of the length of a leg, x, and, and both legs are the same length.
Since the given leg length is 13, the other leg has a length of 13. The hypotenuse of the triangle equals the product of the leg length and, or.
The answer is 471 feet.
If A = man to left of balloon
<span>B = balloon </span>
<span>C = man to right of balloon </span>
<span>∠BAC = 75°20' </span>
<span>∠BCA = 49°30' </span>
<span>∠ABC = 180 - 75°20' - 49°30' = 55°10' </span>
<span>AB = 400 ft </span>
<span>Now we have to find the value of x, which is the side opposite to angle of 75°20' </span>
<span>Using Law of Sines: </span>
<span>x/sin(75°20') = 400/sin(55°10') </span>
<span>x = 400 * sin(75°20') / sin(55°10') </span>
<span>x = 471.44 </span>
<span>x = 471 ft </span>
