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Oliga [24]
3 years ago
11

Miguel buys 100 feet of fence to enclose a rectangular area of his backyard so his dog can run freely. What is the maximum area,

in square feet, he can enclose?
Mathematics
1 answer:
sdas [7]3 years ago
5 0
Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet
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umka21 [38]

Answer:

C.  They most likely used an observational study asking students to keep track of their TV habits and weight.

A.  This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

According to our question:

1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.

Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.

So, the study is an observational study where the habits and weights of college students were observed.

Hence, option C is correct.

2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.

This means that the students were given a procedure to follow during the study in order to see the results..

So, the study is an experiment where a treatment is applied to the group of students.

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8 0
3 years ago
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Yuri [45]

Answer:

i hope it helps you my friend

4 0
2 years ago
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PLS HELP (2.01)A polygon is shown on the graph:
ratelena [41]

A translation of 4 units down means subtract 4 from the y-coordinate.

A translation of 5 units right means add 5 to the x-coordinate.


The new polygon will have vertices

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4 0
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Write the equation of a line in - form that contains the point (- 1, - 2) and is perpendicular to the line y = 5x - 10 degrees
galina1969 [7]

Answer:

y+2= -1/5(x+1)

Step-by-step explanation:

if lines are perpendicular their slopes are negative reciprocal

y=mx+b where m is the slope

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equation point slope form

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3 0
3 years ago
A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine
Yanka [14]

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

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load=500*4

load=2000N

<h3><u>the magnitude of the load is 2000N</u>.</h3>
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