Remark
You need 2 facts to solve this
1. The area of a hexagon is
A = 3*(sqrt(3) ) * a^2/2
Just to make this clear, I'll put it in Latex
2. The second fact you need to know is that the radius = the length of the side a.
Givens
r = 20 in
a = r where a is the length of the side of a hexagon.
Formula Substitute and solve.
A = 3*(sqrt(3) * a^2 ) / 2
A = 3*(sqrt(3) * 20^2) / 2
A = 3*sqrt(3) * 400 / 2
A = 3*sqrt(3) * 200
A = 3*1.7321 * 200
A = 1039 square inches.
Considering the given linear function, we have that:
- The change for each copy that he sells is of $120.
- If he sells no copies, he makes $2400.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
His payment for x copies bought is:
y = 120x + 2400.
Hence:
- The change for each copy that he sells is of $120, as the slope is of $120.
- If he sells no copies, he makes $2400, which is the y-intercept.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
a) situation you’re familiar with where one quantity changes constantly in relation to another quantity is Velocity = Distance/Time
b) the velocity is in direct proportion to distance and inverse relation to time.
c) The graph shown by velocity- time is a straight line graph.
<h3>what is algebra?</h3>
Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
There is a equation we are familiar with , the equation of motion
Velocity = Distance/Time
Here, velocity increases or decreases if the distance also increases or decreases. But if time increases velocity decreases.
So, the velocity is in direct proportion to distance and inverse relation to time.
The graph shown by velocity- time is a straight line graph.
Learn more about algebra here:
brainly.com/question/953809
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