A 12-foot high ladder reaches a tree limb when it leans at a 36 degree angle with the ground. Approximately how far away is the
base of the ladder from the tree trunk base?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
(a)
Given y is inversely proportional to x² then the equation relating them is
y = ← k is the constant of variation
To find k use any ordered pair from the table.
Using (1, 4 ) , then
4 = =
( multiply both sides by 1
4 = k
y = ← equation of variation
(b)
When y = 25 , then
25 = ( multiply both sides by x² )
25x² = 4 ( divide both sides by 25 )
x² = ( take the square root of both sides )
x = ± = ±
Since x > 0 then x =
Answer:
The point of intersections are (1.838, -16.49) and (8.16, 236.49).
The point (1.838, -16.49) represent that the loss for selling soccer balls equals loss for selling footballs when they are sold at a price of 1.84 dollars and the loss is $16.49.
The point (8.16, 236.49) represent that the profit for selling soccer balls equals profit for selling footballs when they are sold at a price of 8.16 dollars and the profit is $236.49.
Step-by-step explanation:
Given:
The daily profit expression for selling soccer balls is given as:
The daily profit expression for selling footballs is given as:
The graph is drawn as shown below. From the graph, the points of intersection of the two functions are (1.838, -16.49) and (8.16, 236.49).
Therefore, for selling price equal to 1.84 dollars, there is negative profit which means they will have loss. The daily loss for selling both soccer balls and footballs would be same and equal to $16.49.
For selling price equal to 8.16 dollars, there is positive profit. The daily profit for selling both soccer balls and footballs would be same and equal to $236.49.
