Tyler finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches o
f the square cutouts used to make it. This is the graph Tyler gets if he allows x to take on any value between -1 and 7.
What is the approximate maximum volume for his box?
What is the approximate maximum volume for his box?
2 answers:
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Answer:
x = 17, y = 34
Step-by-step explanation:
Since the triangle is right use trig ratios to find x and y
note exact values sin30° = , tan30° =
sin30° = =
multiply both sides by y
y sin30° = 17 ( divide both sides by sin30° )
y = = 34
tan30° = =
multiply both sides by x
x tan30° = 17 ( divide both sides by tan30° )
x = = 17
