Radius of 1 button = r = 3x
Fabric required to cover 1 button = Area of the circle
= ![\pi r^{2}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D)
= ![\pi (3x)^{2}](https://tex.z-dn.net/?f=%5Cpi%20%283x%29%5E%7B2%7D)
= ![9\pi x^{2}](https://tex.z-dn.net/?f=9%5Cpi%20x%5E%7B2%7D)
Total number of buttons = x
Fabric required to cover 1 button =
Fabric required to cover x buttons = ![x(9\pi x^{2} )](https://tex.z-dn.net/?f=x%289%5Cpi%20x%5E%7B2%7D%20%29)
Hence, fabric required to cover x buttons
sq. units
Answer:
1st and second, unless you have already learned area of trapezoids. If you have, add third
Step-by-step explanation:
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since a negative value is below the base camp, this means that you are now 38 m below base camp.
The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
Read more on discriminant;
brainly.com/question/2507588
#SPJ1