A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a
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The GCF of 18 and 36 is 18. To solve this, use the picture attached. After creating the boxes, find a number that both 18 and 36 can be divided by, for example, 9. Now that you have 9, divide both 18 and 36 by 9. That equals 2 and 4. Place the numbers underneath the boxes you made previously and find another number that both 2 and 4 are divisible by. 2 and 4 are both able to be divided into 2. Do 2 divided by 2 and 4 divided by 2. Now you have the numbers 1 and 2. There aren't any numbers that can be divided into 1 and 2, so now you are left with the numbers 9 and 2. Multiply the numbers together to get a GCF of 18. Hope this helped!
Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;
∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;
Sinθ = sin(-53.13) = -0.799≈ -0.8.