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Pavel [41]
3 years ago
6

The Johnson’s have a square rug in their living room that is 36 ft2. For Christmas, they are building a dollhouse for their daug

hter. Its linear dimensions are exactly 60 times smaller than their actual house. In the dollhouse, what are the dimensions of the rug (in inches)? [12 inches in 1 foot]
Mathematics
1 answer:
Alona [7]3 years ago
8 0
1. You have that <span>Tthe square rug in their living room  is 36 ft</span>², then, the lenghts of its sides, are:

 A=L²
 L=√A
 L=√36 ft²
 L=6 ft

 2. There are 1<span>2 inches in 1 foot, then:

 12 inches----1 ft
                x----6 ft

 x=6x12
 x=72 inches

 L=72 inches


 3. </span><span>Its linear dimensions are 60 times smaller than their actual house. </span><span>Then, you have:

 L=(72 inches)(1/60)
 L=1.2 inches

 W</span><span>hat are the dimensions of the rug?
</span><span>
 The answer is: 1.2 inches
 </span>
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I’m trying to correct this problem but I don’t know how can someone help me
BartSMP [9]

Remark

It is not a straight line distance from the park to the mall. None of the answers give you that result. And if you know what displacement is, none of the answers are really displacement either. The distance is sort of a "as the crow flies." distance. There's a stop off in the middle of town.

Method

You need to use the Pythagorean Formula twice -- once from the park to the city Center and once from the city center to the mall.

Distance from the Park to the city center.

a = 3   [distance east]

b = 4  [distance south]

c = ??

c^2 = 3^2 + 4^2        Take the square root of both sides.

c = sqrt(3^2 + 4^2)

c = sqrt(9 + 16)          Add

c = sqrt(25)

c = 5

So the distance from the park to the city center is 5 miles

Distance from City center to the mall

a = 2 miles [distance east]

b = 2 miles [distance north]

c = ??

c^2 = a^2 + b^2   Substitute

c^2 = 2^2 + 2^2   Expand this.

c^2 = 4 + 4

c^2 = 8             Take the square root of both sides.

sqrt(c^2) = sqrt(8)

c = sqrt(8)          This is the result

c = 2.8

Answer

Total distance = 5 + 2.8 = 7.8

6 0
3 years ago
Please helppp i need this done and i dont know what to do
ioda

Answer:

FRACTION                               DECIMAL

1/5( 1*2/5*2=2/10)                         0.2

3/10                                               0.3

1/2(1*5/2*5=5/10)                          0.5

7/10                                              0.7

3/4(3*25/4*25=75/100)               0.75

<u><em>NOTE</em></u>:   To conert a fraction into decimal, it is required that the denominator be changed into 10, 100, 1000 and so on.....   By changing the denominator, we have to first select the appropriate number by which you will be able to convert it into 10, 100 or 1000, and you are also required to multiply that number with the denominator as well as numerator. In the first question, 1/5 we can convert the denoinator into 10, 100 or 1000 as the denominator is 5, whatever you choose, the answer will be correct, so, 1*2/5*2 gives 2/10. Since 10 has one zero, the decimal point moves one time towards the left, which gives 0.2. And you can do the rest according to this way, considering the number of zeroes.

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3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

Formula: A = \frac{pq}{2}

p = 7.5 + 7.5 = 15

q = 13 + 13 = 26

A = \frac{26*15}{2}

A = 195

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3 years ago
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