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arlik [135]
3 years ago
6

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the recta

ngle
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

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Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long. She then decided to make pool with a final
Bond [772]

A scale factor allows a shape to be changes into another shape by changing  the linear dimensions to the multiples of the initial dimension and a constant

The expression that finds the change in scale factor for the longer pool with a final length of 33 ft. Sierra is building is the option;

  • \dfrac{2 \, ft.}{3 \, ft.}

Reason:

Known parameters are;

Dimensions of the pool created = 14 ft. wide × 22 ft. long

Final length of the pool = 33 ft.

Let <em>x</em> represent the length of the drawing using the initial scale factor, we have;

  • The \ initial \ scale \ factor = \dfrac{22 \, ft.}{x \, in.}

The scale factor of the drawing following a final length of 33 ft. is therefore;

  • New \ scale \ factor = \dfrac{33 \, ft.}{x \, in.}

The change in scale factor is given as follows;

Change \ in \ scale \ factor = \dfrac{Initial \, scale \, factor}{Final \, scale \, factor}

Therefore;

  • Change \ in \ scale \ factor = \frac{\left( \dfrac{22 \, ft.}{x \, in.} \right)}{\left( \dfrac{33 \, ft.}{x \, in.} \right)} = \dfrac{2 \, ft.}{3 \, ft.}

Learn more here;

brainly.com/question/17637896

8 0
3 years ago
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Do all digits in number 333 have the same value
postnew [5]
No. the first 3 is 300, the second 3 is 30, and the third 3 is 3
6 0
2 years ago
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HELP ME PLSSSSSS PLSSSS PLSSSSSSS I NEED HELP
Andreas93 [3]
Easy. it’s b because when it’s all added up 9 is the answer
8 0
3 years ago
245 is a natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
koban [17]

Answer: Everything but "irrational number"

================================================

Explanation:

The number 245 is a natural number since the set of natural numbers is {1, 2, 3, 4, 5, 6, ...} basically the set of counting numbers. More technically, the set of natural numbers is the set of positive whole numbers.

The number 245 is also an integer. It does not have any decimal or fractional parts. The set of integers includes negative whole numbers as well.

The number 245 is a whole number for similar reasoning as it being an integer.

The number 245 is a rational number. Why? Because we can write 245 as 245/1. In other words, 245 = 245/1. Because we can form a fraction of two integers, this shows us 245 is rational. Note: 0 cannot be in the denominator.

The number 245 is NOT an irrational. If a number is rational, then it cannot be irrational. The very definition of "irrational" means "not rational". An example of an irrational number is sqrt(2). We cannot write this as a fraction of two integers.

The number 245 is a real number. If you haven't learned about complex numbers yet, then every number you encounter is a real number.

----------

To summarize, 245 is a natural number, a whole number, an integer, a rational number, and a real number.

A much shorter way to say this is "everything but irrational" since irrational is the only non-answer.

7 0
3 years ago
A carpenter has a piece of wood that is 78 inches long. He wants to cut it so that one piece is five times as long as the other
Lyrx [107]

Answer:

13 and 65

Step-by-step explanation:

x + 5x = 78

(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)

6x = 78

x = 78 / 6

x= 13

(to counter check:  13 * 5 = 65.  

                               65 + 13 = 78  )

7 0
3 years ago
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