Answer:
<em>AB = 3π</em>
Step-by-step explanation:
<em>See attachment for correct format of question.</em>
Given
From the attachment, we have that
θ = 20°
Radius, r = 27
Required
Find length of AB
AB is an arc and it's length can be calculated using arc length formula.
<em>Substitute 20 for θ and 27 for r</em>
Hence, the length of arc AB is terms of π is 3π
Answer:
The correct option is the first graph (Yes)
Step-by-step explanation:
The given function is W(d) = 930/d
Where;
W(d) = The number of days it would take to get to Washington
d = The distance travelled each day in miles
We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, <em>d</em>, while the 930 is the total distance from California to Washington, while W(d) is the time
Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;
W(d) = 930/d
W(d) ∝ Part of 930 miles completed × Constant
∴ W(d) which is the time is directly proportional to the distance
The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, <em>d</em>, which is constant is a straight line graph which is the first graph
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at: