<span>Data:
infinite geometric series
A1
= 880
r = 1 / 4
The sum of a geometric series in sigma
notation is:
n 1 - r^n
∑ Ai = A ----------- ; where A = A1
i = 1 1-r
When | r | < 1 the infinite sum exists and is equal to</span><span><span>:
∞ A
∑ Ai = ---------- ; where A = A1
i = 1 1 - r</span>
So, in this case</span><span><span>:
∞ 880
∑ Ai = -------------- = 4 * 880 / 3 = 3520 /3 = 1173 + 1/3
i = 1 1 - (1/4)</span> </span>
Answer: 1173 and 1/3
Answer:
3
Step-by-step explanation:
You know that angle Y is a right angle because XY is the radius and YZ is a tangent to the circle. So, you can use the pythagorean theorem to find the third side:
XY^2+4^2=5^2
XY^2+16=25
XY^2=9
XY=3
Hope this was helpful! :)
7+4=11 if that is your question not 100% sure what you are asking.
X > 4
Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.
In each arrangement, there are 10 flowers. The daisies are 2/10. multiplying 2/10 to 10, we get 2. So there are 2 daisies.
If Morita makes 4 arrangements, then the number of daisies she needs is
= 4 * 2
= 8
So she need 8 daises for here 4 arrangements.