II. Ferris Wheel The height of a chair on a Ferris wheel follows the equation y =5.7sin(0.31x)+ 7.9 , where y is the height (in meters) and x is the time (in seconds). Where necessary round all answers to 2 decimal places
a) What is the maximum height the Ferris wheel reaches?
b) What is the minimum height the Ferris wheel reaches?
c) How long does it take the Ferris wheel to make 1 complete cycle?
d) How high is the Ferris wheel after 12.5 seconds?
e) In the during the first rotation of the Ferris wheel, at what time(s) does the it reach 10 m?

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96