In a right triangle whose area is 12,each leg is as long as the side of a certain square. What is the area of the square?

Mathematics

1 answer:

jasenka [17]4 years ago

7 0

Whoever worded this question is a sadist, however this is what i think it was asking lol

A right triangle is half the size of a square. So if its area is 12, the square is 24. If our squares sides are 6. If that is true or triangles outer sides are 6 as well. To summarise:

Your square has an area of 24. Your triangle an area of 12, and their sides are 6.

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The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,

Andrej [43]

Answer:

A. $18

B. $200

C. $p\in (16,20)$

Step-by-step explanation:

Function:

$f(p) = -50p^2 + 1,800p - 16,000$

<u>Parts A and B:</u>

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

$p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200$

The price that generates the maximum profit is $18

The maximum profit is $200

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all $p\in (16,20)$ , so the positive profit is for $p\in (16,20)$

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.