Please help with this paper!! asap please

Mathematics

1 answer:

neonofarm [45]3 years ago

7 0

1 is L
2 is N
3 is M

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

Emma ran 3 miles in 27 minutes how long would it take her to run 5 miles?

Marizza181 [45]

It will take her 45 minutes to run 5 miles,because 27/3=9 and 9•5=45

4 0

3 years ago

Explain plz!!! Explain

ycow [4]

Answer: the answer is 8 rows

Step-by-step explanation: If there are 112 students and they need to be put in rows of 14 you must divide 112 by 14 to get the amount of rows.

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3 years ago

8,392,003,830 in expanded form

zvonat [6]

8,000,000,000+300,000,000+90,000,000+
2,000,000+3,000+800+30

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3 years ago

H(x) = –x2 + 1; Find h(–6)

babunello [35]

Answer:

h(-6)= -(-6)2+1= 12+1= 13.

5 0

3 years ago