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Klio2033 [76]
4 years ago
8

The area of a rectangular field is 2275 m2. The field is enclosed by 200 m of fence. What are the dimensions of the field?

Mathematics
1 answer:
AURORKA [14]4 years ago
4 0
So it is enclosed by 200 m of  fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35

solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width
 
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lapo4ka [179]

Answer:

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Step-by-step explanation:

Suppose that now is the time T.

We know that:

"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".

Then:

if we define midnight as 12, and we assume that T is in the pm range.

Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))

With this in mind, we can write the problem as:

12 - (T + 4) = (1/4)*( 12 - (T + 1))

Now we can solve this for T.

12 - T - 4 = (1/4)*(12 - T - 1)

8 - T = (1/4)*(11 - T)

4*(8 - T) = 11 - T

32 - 4*T = 11 - T

32 - 11  = -T + 4*T

21 = 3*T

21/3 = T

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The time now is 7 pm

7 0
3 years ago
A meteor crater is 4000 feet in diameter. approximate the distance around the crater.
Troyanec [42]

9514 1404 393

Answer:

  12,566 ft ≈ 2.38 miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = πd

For a diameter of 4000 ft, the circumference of a circular crater is about ...

  C = (4000 ft)(3.141593) ≈ 12,566 ft

At 5280 ft per mile, that distance is about ...

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The distance around the crater is about 12,566 ft or 2.38 miles.

3 0
3 years ago
The question is below
saul85 [17]

Answer:

60 degrees

Step-by-step explanation:

The sum of the angles in a triangle are 180 degrees. The angles look the same size, so divide 180 by 3, and you get 60 degrees

7 0
3 years ago
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Elis [28]
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5 0
3 years ago
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3x/4 +2/3=x/3 find the exact answer to the simplest form
slega [8]
First, we need to get rid of the denominator. to do so, we will simply multiply all terms by 12 (which is the result of 3*4).
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then we will separate the variable in one side and solve to get its value
9x-4x = -8
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5 0
3 years ago
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