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Andreas93 [3]
1 year ago
13

8. You have 160 meters of fencing to enclose a rectangular pen for your dog. To provide sufficient running

Mathematics
1 answer:
kolbaska11 [484]1 year ago
7 0

Perimeter is the sum of the length of the sides used to make the given figure. The length and the width of the rectangle are 60 meters and 20 meters, respectively.

<h3>What is the perimeter?</h3>

Perimeter is the sum of the length of the sides used to make the given figure.

Let the width of the rectangle be represented by x.

Given that the pen should be three times as long as it is width. Therefore, the dimensions of the rectangle can be written as,

Width of the rectangle = x

Length of the rectangle = 3x

Also, it is given that the perimeter of the rectangle should be equal to 160 meters, therefore, we can write,

Perimeter = 2(Length + Width)

160 = 2(3x + x)

160 = 2(4x)

160 = 8x

x = 160/8

x = 20 meters

Now, the dimensions of the rectangle can be written as,

Length = 3x = 3 × 20 meters = 60 meters

Width = x = 20 meters

Hence, the length and the width of the rectangle are 60 meters and 20 meters, respectively.

Learn more about perimeter here:

brainly.com/question/10466285

#SPJ1

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on her first day of work, mia sold one straw hat. on day two, she sold three straw hats. on day three, she sold five straw hats,
garri49 [273]

If Mia sold 2 more hats on each suceeding day, after working 40 days it is expected Mia had sold a total of 1523 hats.

<h3>How many hats will Mia sell everyday?</h3>

Day: Hats

  • 1 = 1
  • 2=3
  • 3 = 5
  • 4=7
  • 5= 9
  • 6=11
  • 7= 13
  • 8= 15
  • 9=17
  • 10=19
  • 11= 21
  • 12=23
  • 13= 25
  • among others

You can notice the number of hats she will sell follow a pattern as there are only sequential odd numbers.

<h3>How many hats will Mia sell in total?</h3>

By following the sequence let's add the hats she will sell everyday:

  • 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 + 61 + 63 + 65 + 67 + 69 + 71 + 73 + 75 + 79 = 1523

Learn more about sums in: brainly.com/question/13013054

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2 years ago
A pair of belted pulleys have diameters of 18 in. and 12 in. If the smaller pulley turns at 750 rpm, how fast will the larger pu
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Don’t know if this has to do with pie but if it doesn’t I will do my best attempt 750/12 is 62.5 witch is 520.8% of the diameter so 5.208 x 18 is 93.7 as its unit rate I KNOw I am doing this wrong but hopefully it helps somehow I’m in middle school and it told me I should answer this so good luck

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2 years ago
complete your work on a separate sheet of paper after you answer the question unlock your work to the Box
charle [14.2K]

okay so the first step in finding the answer is to see what the formula is to determine the area of a rectangle.

do you know the formula?

okay so the formula is A = L * W

where the L stands for length

and the W stands for Width

so based on the picture can you determine what the length and width are?

where are you having issues with that?

yes that is correct!

don't second guess yourself

so the length is 2 2/3 and the width is 3/4

now the easiest way to solve this problem is to convert the fractions into decimals

are you allowed to use a calculator?

okay so then lets try to convert these fractions into whole numbers

do you know how to convert fractions into whole numbers?

okay so worries

so do that we would have to Divide the numerator by the denominator, only if the numerator is a multiple of the denominator.

so for the width, is 4 a multiple of 3?

no it is not

so out only method would be to convert it into a decimal

do you know what 3/4 is in decimal form?

it is .75 because if you have 4 quarters which equal .25 then 3 quarters equal 75

now we move onto the length 2 2/3

now we already have 2 as a whole number and we can convert 2/3 into a decimal

so we basically do 3 /2

3 does not go into 2 so we put a decimal so it is 0.

then we see how many times 3 goes into 20

how many times does 3 go into 20?

no it is 6 times, because 3*6 = 18

so now we have 0.6

and we bring down the reminder

so we have 3/20

and we have a repeating decimal so our answer is

2/3 = 0.66666

so if we add the whole number we have 2.6666

so now we can plug that into the equation

A = L * W

A = 0.75 * 2.6666

Are you with me so far?

do you have any questions?

great now we just multiple 2.66 * 0.75

can you do that and tell me what you get?

AWESOME!

Now we can round that to the closest number

what is that?

do you know what 1.995 to the closest whole is?

GREAT!

so your answer is

0.75 * 2.66 = 2

ANY QUESTIONS?

Do you know the formula for the perimeter of a rectangle?

P = 2( L + W)

so from the information that we already have, can you plug in the numbers for me?

close, try again

and this time for it in fromula form

use the formula that I have provided for you

so can you tell me the formula for the perimeter of a rectangle?

great

so P is the value we are looking for and the rest is the formula

can you now try to plug in the numbers into the formula

starting with P =

GREAT!

now don't forget the parentheses

so try one last time

Awesome!

So now according to the laws of PEMDAS what would be our first step into solving this equation?

where did you get 3.41 from?

yes

so 2.66 + 0.75 = 3.41

now we have P = 2 (3.41)

so we now multiple 3.41 * 2

what do you get when you do that?

great job!

so now we know P = 6.82

and those are your two answers

A = 2

P = 6.82

do you have any questions?

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Answer:

$1.00

hopefuly this helped if not let me know!

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