The drawing is missing, so i have attached it.
Answer:
24 yards
Step-by-step explanation:
From the image, we can see that AB and DE are both adjacent sides of their respective triangles.
While, CE and BC are both opposite sides of their respective triangles
Now, from your side, x is the distance to the island.
So, from ratio of similar triangles, we can find x.
Thus;
8/x = 3/9
Cross multiply to get;
8 × 9 = 3x
3x = 72
x = 72/3
x = 24
Thus, distance from your side to the island is 24 yards
Answer:
Step-by-step explanation:
We are given that A rose garden can be planted for $4000.
The marginal cost of growing a rose is estimated to $0.30,
Let x be the number of roses
So, Marginal cost of growing x roses =
Total cost =
So, Cost function : ---A
Now we are given that the total revenue from selling 500 roses is estimated to $875
So, Marginal revenue =
Marginal revenue =
Marginal revenue =
Marginal revenue for x roses =
So, Revenue function = ----B
Profit = Revenue - Cost
---C
Now Plot A , B and C on Graph
-- Green
-- Purple
--- Black
Refer the attached graph
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18