Answer:
The perimeter of the plaque is 28 inches.
Step-by-step explanation:
Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.
To find : What is the perimeter of the plaque?
Solution :
The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.
The base of each triangle is equal to the length of a side, s.
The area of each triangle is 
The area of the whole polygon is 
Now, the perimeter of a regular 7-sided polygon is 
.
Substitute in area,
We have given, 
The perimeter of the plaque is 28 inches.
29,400
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Hope this helps you
The domain of the given inequality is y>1.
<h3>
What is Inequality?</h3>
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here, given inequality:
y < 
Related equation:
y =
The equation defined as,
x+3 > 0
x > -3
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
adding 1 on both sides, we get
y ≥ 1
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
Thus, the domain of the given inequality is y>1.
Learn more about Inequality from:
brainly.com/question/20383699
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Answer:
300
Step-by-step explanation:
(75*4)/1
Answer:
Step-by-step explanation:
m = -6
Equation: y = mx + b
y = -6x +b
(-4 , 1)
Plugin x = -4 and y = 1 in the above equation
1 = -6*(-4) + b
1 = 24 + b
1- 24 = b
b = -23
Equation: y = -6x - 23
