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natta225 [31]
2 years ago
10

Type the correct answer in the box. Use numerals instead of words. Erika and Rita have added a 1-mile walk to their daily exerci

se schedule. The table lists the time each of them took to walk the 1-mile distance over the past five days. Erika’s Time (in minutes) Rita’s Time (in minutes) 20 21. 25 21. 5 24. 75 22. 75 23 23. 25 23 20. 25 20. 75 On average, it takes Erika about minute(s) per mile less than Rita.
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
8 0

Answer:

The answer is 1.2

Step-by-step explanation:

It takes Rita 22.75 on average, and it take Erika 21.55 to walk the mile on average.

21.55 + 1.2 = 22.75

therefore, it takes Erika 1.2 minutes per mile less than Rita.

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A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
vitfil [10]

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

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3 years ago
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Answer:

Decimal form:

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Step-by-step explanation:

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<span>1 perpendicular bisector divides 1 side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths.

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<span>
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