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skywil8981
26.02.2020 •
Mathematics
First Problem:
4. A six meter ladder leans against a building. The ladder makes an angle of elevation of 60° with the ground. How far up the
wall does the ladder reach?
Which trig formula should I use?
Solved
Show answers
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Ответ:
Step-by-step explanation:
Here,ladder is making a right triangle with the wall and ladder is acting as hypotenuse.
Angle of elevation formed between ladder and wall is 60°. Length of ladder is 6 m and we need to find the height (h) of the wall where ladder reaches.
Thus, ladder reaches upto a height of 5.2 m of the wall.
Ответ:
The correct answer is 38.5
Step-by-step explanation:
Cost function is given by C = 31x + 500
Demand function is given by p = 46 − 0.1 x ,
where p is the price, x is the number of units, and C is the cost.
Revenue function (R) is given by p × x = 46x - 0.1![x^{2}](/tpl/images/0571/6428/35e67.png)
Profit π = R - C
⇒ π = 46x - 0.1
- 31x + 500.
To maximize profit we find
π and equate it to zero.
⇒ 46 - 0.2x -31 = 0
⇒ 15 = 0.2x
⇒ x = 75.
Price at quantity x is equal to 75 = 46 - 7.5 = 38.5
Thus the price at which the profit maximizes for the given demand and price functions is 38.5.