Answer:
Step-by-step explanation:
We can find the area by breaking this into two rectangles one 3 by 7 and the other 1 by 2. The area of any rectangle is xy where x and y are its dimensions
A=3(7)+1(2)
A=21+2
A=23 yd^2
The maximum units is 200 and , Total revenue is $8,000
<u>Step-by-step explanation:</u>
Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:
We have following function as
. Let's differentiate this and equate it to zero to find value of x for which the function is maximum!
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⇒ 
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Now , Value of function at x=200 is :
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Therefore , The maximum units is 200 and , Total revenue is $8,000
Anddd Similar traingles for one more time.
Here,
RQ/RP = RS/RT = QS/PT = 1/2
Using the values of QS and PT will give,

Therefore y= 46 units.
Answer:
h = 2.4
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
271.4 = pi ( 6)^2 *h
271.4 = 36* pi* h
Letting 3.14 = pi
271.4 = 113.04 h
Divide each side by 113.04
271.4 /113.04 = 113.04h/113.04
2.424805379 = h
Rounding to the nearest tenth
2.4 = h
OR if we use the pi button
271.4 = 36 * pi *h
Divide each side by 36 pi
271.4/36pi = h
h=2.3997
Rounding to the nearest tenth
h =2.4
The value of p would be 40. This is because the ratio of p:q = 10:5. this could be simplify into p:q = 2:1. Applying the ratio p:20 = 2:1, P=40.