Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t)H(t)H, left parenthesis, t, right parenthesis models the weight of sheep (in \text{kg}kgstart text, k, g, end text) that Harry would like to swallow ttt hours after he wakes up. Here, ttt is entered in radians. H(t) = 12\sin\left(\dfrac{2\pi}{24}t\right ) + 15H(t)=12sin( 24 2π t)+15H, left parenthesis, t, right parenthesis, equals, 12, sine, left parenthesis, start fraction, 2, pi, divided by, 24, end fraction, t, right parenthesis, plus, 15 What is the second time after Harry wakes up that he feels like consuming 17{\text{ kg}}17 kg17, start text, space, k, g, end text of sheep?

  t = 11.36

Step-by-step explanation:

We want to find t such that ...

  17 = 12sin(2πt/24) +15 . . . . H(t) = 17

  2/12 = sin(2πt/24) . . . . . . . subtract 17, divide by 12

  t = 24/(2π)·arcsin(1/6) . . . . solve for t

  t = (12/π)arcsin(1/6) or (12/π)(π -arcsin(1/6))

We want the larger of these values of t, so ...

  t = (12/π)(π -0.167448) ≈ 11.36

11.36 hours after Harry wakes up, he will feel like consuming 17 kg of sheep for the second time.

11.4 is the correct answer.

Step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %