When does the equation of a line in slope-intercept form look just like its equation in point slope form ???
1 answer:
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Answer:
9 red tiles
Step-by-step explanation:
Total number of tiles:
Total number of red tiles:
Probability of getting red in one draw:
<em>This means that you would expect to get red or 30% of the times.</em>
<em>Hence, when you draw tiles 30 times from the bag, you would expect red to be picked 30% of 30 times. This is:</em>
<em></em>
So, you would expect to draw a red tile from the bag 9 times.
The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.
First we will draw a right angle triangle ΔABC, where ∠B = 90°
Lets, assume the height(AB) = h and base(BC)= x
If the angle of elevation, ∠ACB = α, then
tan(α) =
Taking inverse trigonometric function, α = tan⁻¹ () .............(1)
As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :
Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,
that means h = 40 feet and = 10 feet/second.
C is the observer's position which is 50 feet away from the point B, so x = 50 feet.
= 0.12 (Rounding up to two decimal places)
So, the rate of change of the angle of elevation is 0.12 radians/second.
