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Vlad1618 [11]
3 years ago
10

List the measurements below from from smallest to largest. 7cm 18mm 1m 3dm

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

To give us a basis of comparison in arranging the given values from smallest to largest, we should expressed all values in one unit only. For this case, let us convert all units in terms of mm so that we can compare.

 

We know that:

1 m = 10 dm = 100 cm = 1000 mm

 

Therefore,

<span>A. 7 cm            --> 7 cm (1000 mm / 100 cm) = 70 mm</span>

B. 18 mm

<span>C. 1 m              --> 1 m (1000 mm / 1 m) = 1000 mm</span>

<span>D. 3 dm           --> 3 dm (1000 mm / 10 dm) = 300 mm</span>

 

Since they are now expressed in same units, we can arrange the numbers from smallest to largest:

 

<span>18 mm, 7 cm, 3 dm, 1 m</span>

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Hi,

The answer is c. The sample is biased.

This is because the sample is taken on a single state, an Rebecca reports a statistic about the nation. Her data contains information only of her state. If she lives in a very cold state, there is probably more homeowners using electric heat than in a hot state.

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3 years ago
a famer has 120 feet of fencing with whcih to enclose two adjacent rectangular pens as shown. what dimeensions should be used th
Nat2105 [25]

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Let the area be y .

Area = (base) × (height)

Base = 2x

Height = h

Let the area of the rectangular pens be y .

∴ y = 2xh

Perimeter of all the fencing = 4x+3h

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now we solve for h

3h = 120-4x

h = 40 - 4/3 x

Now we will substitute this value in the above first equation:

y = 2xh

or, y = 2x (40 - 4/3 x)

or, y = 80x - 8/3 x²

Now for the maximum area we have to find the first order differentiation of y

now,

dy /dx = 80 - 16/3 x

At dy/dx = 0 we get the value of x for which y is maximum.

80 - 16/3 x = 0

or, - 16/3 x = -80

or, x = 15 feet

Hence height =  40 - 4/3 x = 40 - 20 = 20feet

Maximum area = 2xh = 2×15×40 = 1200 square feet

The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

brainly.com/question/27531272

#SPJ4

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1 year ago
What is the value of x?
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the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards
Bas_tet [7]

Answer:

Step-by-step explanation:

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Substituting 2L + 3 for W, we get:

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L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

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3 years ago
Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay?
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