Answer:
False
Step-by-step explanation:
165 - 90 = 75 + 40 = 115
115 is not the same as 165
Answer: 153.86
Step-by-step explanation:
a=nr^2
A= 3.14 * 49
A= 153.86
Answer:
24 units
Step-by-step explanation:
As we can see in the attached picture. The area will be given by the sum of the area of the rectangle and the area of the triangle in the bottom.
The rectangle has a base of 6 units and a height of 3 units. Therefore:
A1 = bh = 6*3 = 18 units.
The triangle has a base of 6 units and a height of 2 units. Therefore:
A2 = (1/2)bh = (6*2)/ 2 = 6 units
Then, the total area is:
A = A1 + A2 = 6 + 18 = 24 units
Answer:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

Step-by-step explanation:
For this case we have the following function for the profit:

And we can rewrite this expression like this:

In order to maximize the last equation we can derivate the function in term of x and we got:

And setting this derivate equal to 0 we got:

And solving for x we got:

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

4/6
= (4/2) / (6/2) (divide both numerator and denominator by 2)
= 2/3
The final answer is 2/3~