The volume of a sphere is given by the equation
, where r is the radius.
We are given the diameter of the sphere, but recall that the diameter is twice the radius:
. So the radius is half of the diameter:
.
Half of 8 cm is 4 cm.
We substitute this for r in the equation and we use 3.14 for <span>π.</span>
The slope is 3 y-intercept is 7 and the equation would be y=3x+7
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.
A good way to think about this is take the phrase "miles in hours" from the question. You are given "560 miles in 10 hours" and what you need to figure out is "X miles in 1 hours." To go from 10 hours to 1 hour, you divide by 10. So you also want to divide miles by 10 to keep everything consistent. 560/10 = 56 miles.
<h3>The answer is 56 miles.</h3>
Answer:
334
Step-by-step explanation:
20+3(7+4)+5+267+9
=20+(3)(11)+5+267+9
=20+33+5+267+9
=53+5+267+9
=58+267+9
=325+9
