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Reika [66]
3 years ago
13

Patty made a banner that has an area of 36 square inches,. The length and width of the banner are whole numbers. The length is 4

times greater than the width. What are the dimensions of the banner?
Mathematics
2 answers:
Luda [366]3 years ago
5 0

Answer:

The length of the banner is 12 inches while the width of the banner is 3 inches

Step-by-step explanation:

Here we have the area of the rectangular banner = 36 in²

Formula for the area of the banner is Length, L × Width, W

We are told the length is 4 times greater than the width.

That is, L = 4·W

Therefore, the area of the banner = L × W = 4·W × W = 4·W² = 36 in²

∴ W = √(36/4) = 3 inches

L = 4·W = 4 × 3 inches = 12 inches

Therefore, the dimensions of the banner are

Length of banner = 12 inches

Width of banner = 3 inches.

omeli [17]3 years ago
3 0

Answer: width= 3 inches; length= 12 inches.

Step-by-step explanation:

From the question, the length is 4 times greater than the width.

Let the width of the banner be represented by y.

Since the length is 4 times greater than the width. It will be denoted as:

Length= 4 × y = 4y

Since area= length×width

4y × y = 36

4y^2 = 36

Divide both side by 4

y^2 = 36/4

y^2 = 9

We have to find the square root of 9

y= √9

y = 3

The width is 3 inches.

The length will be: (3×4) = 12 units.

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3 0
2 years ago
Can someone help me with this?
creativ13 [48]

The missing values are 28° and 62°

<h3>What are perpendicular lines?</h3>

Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.

From the information given, we have that;

Line AC ⊥ Line BE

Where:

  • m ∠ ADE = (x + 5)°
  • m ∠ DBE = (3x - 7)°

Hence,

x + 5 + 3x - 7 = 90

collect like terms

4x = 90 + 2

4x = 92

Make 'x' the subject

x = 92/ 4

x = 23

For the missing values

m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°

m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°

Thus, the missing values are 28° and 62°

Learn more about perpendicular lines here:

brainly.com/question/17683061

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8 0
1 year ago
These points are linear.
posledela

Answer:

3

Step-by-step explanation:

Select an ordered pair: (2, 7)

Select another ordered pair: (6, 19)

slope = (difference in y)/(difference in x)

slope = (19 - 7)(6 - 2)

slope = 12/4

slope = 3

4 0
2 years ago
Read 2 more answers
Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last mon
amm1812

Answer:

I think she used 180 tablespoons of butter this month.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please can you help me with this because I had to post twice
steposvetlana [31]

Answer:

y=11

Step-by-step explanation:

3y=y+22

3y-y=y-y+22

2y=22

y=11

4 0
2 years ago
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