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Liono4ka [1.6K]
3 years ago
7

Paul has 400 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are

a. What is the maximum​ area?
A rectangle that maximizes the enclosed area has a length of _ nothing yards and a width of _ nothing yards.

The maximum area is _ nothing square yards.
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0
P=2(x+y)  perimeter equals two time the sum of x and y dimensions...

We are told that P=400 so

2(x+y)=400

x+y=200

x=200-y...

Now area is:

A=xy, using x found above we have:

A=(200-y)y

A=200y-y^2

The rate of change of the area is dA/dy

dA/dy=200-2y

The maximum area occurs when the rate of change is zero or dA/dy=0 so

200-2y=0

2y=200

y=x=100yd

So the maximum area enclosed is when y=x=100 which is a perfect square (as is always the case for a four sided enclosure with a given amount of material)

A=100^2=10000 yd^2
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B)the LCM of three numbers is 24 and their G.C.D is 4. If two<br>find the other number​
kicyunya [14]

6

Step-by-step explanation:

because 6*4=24, so the G.C.D is 4 and the other number is 6

4 0
3 years ago
Explain which event is more likely: rolling two dice and getting a total of 11, or, tossing a coin and getting three Heads in a
amm1812

Answer:

The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the erroneous belief that if a particular event occurs more frequently than normal during the past it is less likely to happen in the future (or vice versa), when it has otherwise been established that the probability of such events does not depend on what has happened in the past. Such events, having the quality of historical independence, are referred to as statistically independent. The fallacy is commonly associated with gambling, where it may be believed, for example, that the next dice roll is more than usually likely to be six because there have recently been fewer than the usual number of sixes.

The term "Monte Carlo fallacy" originates from the best known example of the phenomenon, which occurred in the Monte Carlo Casino in 1913.[1]

8 0
3 years ago
Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42
Fed [463]
Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
8 0
3 years ago
Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?
mixas84 [53]
The answer would be 3/7

Explanation:
This question is basically asking for you to simplify 12/28. To do this, we find the GCF (Greatest Common Factor) of 12 and 28, which is 4. Then, we do 12 / 4 and 28 / 4, which gives us 3 and 7. Therefore, the answer is 3/7.
3 0
3 years ago
Read 2 more answers
Based only on the given information, it is guaranteed that
True [87]
A. hope this helps I’m pretty sure it’s right though
4 0
3 years ago
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