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Answer:
The height of the larger traffic signs is 51.96 inches
Step-by-step explanation:
Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches
Now, A company makes similar traffic signs of perimeter 1.25 of original
New perimeter will be 1.25x144=180 inches
Let triangle ABC be a larger triangle with 180inches of the perimeter.
It is given that the triangle is an equilateral triangle,
Therefore, Side AB=BC=AC
The perimeter of a triangle ABC is
AB+BC+AC=180
3AB=180
AB=60 inches
Figure show that triangle ABC and AD is the height of the triangle.
Since, the triangle ABC is an equilateral triangle,
AD is the perpendicular bisector of BC
so that,
BD=DC and Angle ADB=90
In right triangle ADB,
Angle D =90 and Angle B =60
Side BD=60/2=30 inches and AB=60 inches
Using Pythagoras theorem,
AD=51.96 inches
Thus, The height of the larger traffic signs is 51.96 inches
The linear equation for the given situation is represented as:
20x + 12y = 1,300
correct answer option: b
<h3>What is a linear equation with two variables?</h3>A general linear equation in two variables is defined as an equation of the form ax + by + c = 0, where x and y are the two variables and a, b, and c are real numbers and a and b are non-zero (x and y).
Given:
We use variables to represent the cost of the big and the smaller boxes.
According to the question, let x be the selling price of the big boxes.
The selling price of the bigger boxes is y.
The total selling price of the smaller boxes is 20x.
The total selling price of the bigger ones is 12y.
Now we know he is making a profit of $1,300 on the total transaction.
Hence the linear equation in two variables for the given situation is represented as:
20x + 12y = 1,300
To learn more about linear equations in two variables visit:
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I understand that the question you are looking for is:
Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?
A- y+12=20(x-1300)
B- y=- x+
C- 20x+12y=1300
D- 12y=20x-1300