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VikaD [51]
3 years ago
12

Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.

Mathematics
1 answer:
12345 [234]3 years ago
5 0
The Dimensions are 3ft x 9ft
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Find the distance between<br> (-12,1) and (12,-1)
djverab [1.8K]

ANSWER: Exact Form: 2\sqrt{145}

Decimal Form:  24.08318915

STEP-BY-STEP EXPLANATION:

(-12,1)  (12,-1)

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }

Substitute the actual values of the points into the distance formula.

\sqrt{(12-(-12))^{2  }+ ((-1)-1)^{2} }

Multiply  -1 BY -12

\sqrt{(12+12)^{2  }+ ((-1)-1)^{2} }

Add 12 and 12

\sqrt{24^{2} +((-1)-1)^{2} }

Raise 24 to the power of 2

\sqrt{576 +((-1)-1)^{2} }

\sqrt{576+4}

\sqrt{580}

Rewrite 580 as 2^{2}·145

Factor 4 out of 580

\sqrt{4(145)}

Rewrite 4 as 2^{2}

\sqrt{2^{2}(145) }

Pull terms out from under the radical.

2\sqrt{145}

The result can be shown in multiple forms.

Exact Form: 2\sqrt{145}

Decimal Form:  24.08318915

8 0
4 years ago
Louise measured the perimeter of her rectangular scrapbook to be 148 cm. If the scrapbook is 38 cm wide, how long is the scrapbo
arsen [322]

Answer:

36cm

Step-by-step explanation:

38 × 2 = 76

148 - 86 = 72

72/2 = 36

8 0
3 years ago
Read 2 more answers
Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is los
kobusy [5.1K]

Answer: 160+(W x 3)=195-(W x 2)

Step-by-step explanation:

I'm not 100% sure this is right but it should be!

6 0
3 years ago
Stan is purchasing sub-flooring for a kitchen he is remodeling. The area of the floor is 180 ft' and
DiKsa [7]

Answer:

15 feet = Length

Step-by-step explanation:

The area of a rectangle is:

 

Area = Length x Width

 

The Area is given as 180 square feet (ft2) and the width is given as 12 feet.  Let's plug those values into the Area formula to find the length:

 

Area = Length x Width

180 = Length x 12

 

Divide both sides of the equation by 12:

 

180/12 = Length

15 feet = Length

8 0
3 years ago
Read 2 more answers
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is
puteri [66]

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

5 0
3 years ago
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