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Black_prince [1.1K]
3 years ago
15

You are enclosing a rectangular garden with 180 feet of omamental fencing. The area of the garden is 1800 square feet. What are

the dimensions of the garden?
Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

Step-by-step explanation:

Perimeter is

P = 2L + 2W.  We are given the perimeter as 180 feet, so

180 = 2L + 2W.  Solve this for either L or W.  I chose W, no reason...

180 - 2L = 2W so

90 - L = W  Hold that thought.  We'll come back to it in a minute.

Area is

A = LW.  We are given the area as 1800 square feet, so

1800 = LW.  Sub in 90 - L for W:

1800 = L(90 - L).  Distribute to get a quadratic:

1800=90L-L^2

Get everything on one side and solve for the length by factoring:

-L^2+90L-1800=0

Factor this however you like to factor quadratics, to get the length of

L = 30 and L = 60.  First off, the length is longer than the width in general, so if we want to solve for the width, plug in 60 as L in the equation in bold print:

90 - 60 = W and

30 = W

So L = 60 and W = 30

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joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

Learn more about congruency here:

brainly.com/question/7888063

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7 0
2 years ago
A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk​
Luden [163]

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = 1 *10^6 bytes

kilobyte = 1*10^3 bytes

and a regular byte would just be 1

Now, you will need to do a conversion:

1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 1*10^6 bytes!)

In the second fraction thought, remember one kilobyte is 1*10^3 bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do \frac{1kilobyte}{1*10^3bytes}, but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

10^3 kilobytes (1000 kilobytes)

Hope this helped!

6 0
2 years ago
Julio bought 7 science fiction novels (s) and 7 comic books c) from the bookstore. His purchases can be represented by the expre
ANTONII [103]

Answer:

$92.60

Step-by-step explanation:

7($5.99) + 7($6.49)=$41.93

$41.93 + $45.43  = $87.36

$87.36 + ($87.36 × 6%=0.06)

$87.36 + (0.06 × $87.36=5.24)

$87.36 + $5.24= $92.60

7 0
2 years ago
Put the following in order from the smallest to the largest 0.2 1/2 2%
aliya0001 [1]

Answer:

2%, 0.2, 1/2

Step-by-step explanation:

0.2 = 0.20 = 20%

1/2 = 0.50 = 50%

2% = 0.02

3 0
2 years ago
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Which of the following is equivalent to the equation below?
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B is the correct answer R=Q-7s/4
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