Federico works in a small workshop where he makes wheels for the calenders. A customer has asked you to put an iron liner around a wheel to prevent wear. Federico does not know how much material he will use to cover the wheel, so it occurred to him to place it on the floor, make a mark on the part that touched the ground and turn it until it coincides with the floor again. Finally, he measured the track left by the wheel, as shown in the drawing. Is Federico's procedure to obtain the wheel circumference appropriate? why?

the mark left by the wheel is 2.99 m long. estimate the measure of its diameter; You can base yourself on the picture above.

the diameter of the wheel measures about 0.95 m. what is the ratio between this element and the circumference?

( here it is in English if it helps since the photo is in spanish, it’s all the same btw)
(En la foto está en español pero lo que yo escribí está en inglés, todo es lo mismo)

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).