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Allisa [31]
2 years ago
9

15. Higher Order Thinking Nancy made a

Mathematics
1 answer:
Andreas93 [3]2 years ago
8 0

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

brainly.com/question/14383947

#SPJ1

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Mary wants to buy a small fence place around us semi circular garden demeanor of a semi circle is 18 feet Mary calculus that sh
nevsk [136]

Diameter of a semi circular garden = 18 feet

Radius of the garden :

=  \tt\frac{diameter}{2}

=\tt  \frac{18}{2}

=\tt 9 \: feet

Thus, the radius of the semi circular fence = 9 feet

We know that :

\color{hotpink}\tt \: Circumference \: of \:a \:  semi \: circle \color{plum}=\pi r

Which means, the circumference of Mary's semi circular garden :

=\tt \pi r

(pi value = 3.14)

= \tt3.14 \times 9

=\tt 28.26 \: \:  feet

Thus, the circumference of fence needed for the semi circular garden = 28.26 feet

28.26 can be rounded off to 28.30 and 28.30 is the same as 28.3

Thus, Mary's reasoning is correct.

Therefore, Mary's reasoning is correct which means she needs 28.3 feet of fence to surround her garden.

6 0
3 years ago
Evaluate:<br><br> 16÷(2+12)2<br><br> A. 2 14/25<br><br> B. 4 1/4<br><br> C. 6 2/5<br><br> D. 8 1/4
Sauron [17]

The result of the given expression in simplest form is \frac{4}{7}.

The given parameters:

16÷(2+12)2

The given expression can be evaluated in the following order as shown below;

<em>add </em><em>the numbers in the </em><em>bracket</em><em>;</em>

2 + 12 = 14

<em>multiply </em><em>the numbers in the </em><em>bracket </em><em>by 2;</em>

14 x 2 = 28

<em>divide </em><em>the 16 by your result after the </em><em>multiplication</em><em>;</em>

= \frac{16}{28} \\\\

<em>divide the </em><em>numerator </em><em>and </em><em>denominator </em><em>by their common factor which is 4;</em>

\frac{16}{(2+ 12) 2} = \frac{16}{28} = \frac{4}{7}

Thus, the result of the given expression in simplest form is \frac{4}{7}.

Learn more about simplification of algebra here: brainly.com/question/432678

6 0
2 years ago
What is the sales tax for an item that costs $1400 and has a sales tax rate of 75% ?
dexar [7]
What this question is asking, without all the wording, is what is 75% of 1400. You can easily find this by multiplying 1400 by 0.75. This will be your sales tax.

1400*0.75

1050

Sales Tax: $1050

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What is the GCF of 36 and 84
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