Hungry Harry is a giant ogre with an even bigger appetite. After Harry wakes up from hibernation, his daily hunger H(t)H(t)H, left parenthesis, t, right parenthesis (in \text{kg}kgstart text, k, g, end text of pigs) as a function of time ttt (in hours) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. When Harry wakes up at t=0t=0t, equals, 0, his hunger is at a maximum, and he desires 30 \text{ kg}30 kg30, start text, space, k, g, end text of pigs. Within 222 hours, his hunger subsides to its minimum, when he only desires 15 \text{ kg}15 kg15, start text, space, k, g, end text of pigs. Find H(t)H(t)H, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

the unknown side length of the golden rectangle with the given side length l = 9 is s = 5.56  

i did this question today

step-by-step explanation: