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Neko [114]
3 years ago
7

A large rectangular area is to be fenced off ( a large rectangle divided into 2 smaller rectangles). The fence used to divide th

e space cost $10 per foot and the fence used for the perimeter costs$15 per foot. If the total budget for the project is $60000 what are the dimensions that yield the largest area
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

Length of area is 857.14 ft

Width of area is 857.14 ft

Length of dividing fence is 857.14 ft

Step-by-step explanation:

Here we have

Area of rectangle = Length × Width

The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;

Length of rectangle = Width of rectangle = x

Hence,  the perimeter of the area = 4·x, while the width of the dividing fence = x

Therefore, since the we have;

Cost of the perimeter fence = $15/foot

Cost of the dividing fence = $10/foot

Then;

4·x × 15 + x × 10 = 60000

60·x + 10·x = 60000

x = 60000/70 = 857.14 ft

Which gives the following dimensions;

Length of area = 857.14 ft

Width of area = 857.14 ft

Length of dividing fence = 857.14 ft.

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Ksenya-84 [330]

Answer:

48

Step-by-step explanation:

The 156° angle will help you in this problem.

On the opposite side, you have to find the number that equals to 180°

So that'll be: <em>180° - 156° </em>

This will equal 24°

Now you have 2 angles inside the triangle, 108° and 24°

Add those 2 numbers: <em>108° + 24°</em>

This will equal 132°

All triangles must equal to 180°

So you subtract: <em>180° - 132°</em>

Which will equal 48°.

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2 years ago
Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.
muminat

Answer:

B

Step-by-step explanation:

the equation representing direct variation is

y = kx ← k is the constant of variation

The equation representing inverse variation is

y = \frac{k}{x} ← k is the constant of variation

Given

3y = x ( divide both sides by 3 )

y = \frac{1}{3} x ← equation representing direct variation

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3 years ago
Find the equation in slope-intercept form that describes a line through (2, 4) with slope 0
vladimir2022 [97]
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Find square root of 4489 by division method.
Law Incorporation [45]

Answer:

The square root of 4489 is:

  • <u>67</u>

Step-by-step explanation:

To find the square root by división method you must do the next:

1. you write the square root:

\sqrt{4489}

2. You separe the number inside the square root in groups of two digits, begining by the right (in this case doesn't matter, because we have 4 digits, but remember this when the number has an odd number of digits):

√44 89

3. You must find a whole number which squaring gives us a number equal to or less than our first pair of digits (44), in this case is 6, because 6*6 = 36 and, if we take 7, 7*7 = 49 (we would pass):

√44 89 ║6

4. Now, we subtract the squaring of the number obtained to our first pair of digits:

√44 89 ║6

-36

= 8

5. We duplicate the root obtained (6) and we lower the next pair of digits next to the result of the previous subtraction, but this time we make pairs of digits from the left:

√44 89 ║6

-36       ║12

= 88 9

6. We divide 88 (our pair of digits) in 12 (the double of the obtained root):

88 ÷ 12 = 7.3333333 (we approximate to 7)

7. We put the number obtained in the division (7) to the right side of the double of the obtained root (12) and we multiply by this too:

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

8. we subtract the number obtained in the multiplication to the digits we order in pairs (889):

√44 89 ║6

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

9. We raise the number that we multiply by twice the previous root found, as another digit of the root:

√44 89 ║<u>67</u>

-36       ║127 * 7 = 889

= 88 9

- 889

= 0

As you can see, <u>the square root of 4489 with this method gave us the result 67</u>.

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3 years ago
Solve for m: 3m – 4n + 6p &gt; 5n + 2p – 8
Lady_Fox [76]
I hope this helps you

3 0
4 years ago
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