The hour hand of a desk clock is 4 inches long, the minute hand is 6 inches long, and the second hand is 7 inches long. center of the clock is 12 inches above the top of the desk. Find a sinusoid which describes the height of the very tip of each hand (one for each) t minutes after 2:30:00. Note that the hour hand will be halfway between the 2 and the 3 at this time. Confirm your functions are correct by showing that at 6:00:00 (precisely 210 minutes later) the hour hand is at the bottom and the minute and second hands are at the top.

step-by-step explanation:

the areas of two similar triangles are 18 cm2 and 8 cm2. one of the sides of the first triangle is 4.5 cm. what is the length of the corresponding side of the other triangle?

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

answer: it depends on what the tax percentage