Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Answer:
33:79
Step-by-step explanation:
We are told that a factory is going to hire 33 new employees.
and the total applicants is 79
In this problem, we want to represent the situation as a ratio of new hires to applicants
Since the question says new hires to applicants
Hence, the ratio will be
33 to 79
or
33/79, we can simplify this as
33:79
Answer:
81
Step-by-step explanation:
12/3 = 4
4 - 2 = 2
x = 2
using the order of operations, you would first have to do y + 3
y = 12
12 + 3 = 15
the equation simplified is 3 x 2 + 5 x 15
3 x 2 = 6
5 x 15 = 75
75 + 6 = 81
Answer:
y= 1/12(x-0)^2+0
this answer works as an upward parabola
Step-by-step explanation:
- The formula for a veritcal parabola is y=1/4p(x-h)^2+k
- (h,k)= coordinates of the vertex of the parabola
- p= absolute value of the distance from the vertex to the focus/directrix
- In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
- Now, you know the values of the variables. Fill in the values
- FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
- (x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
- once all the variables are given values (except x and y) you have made your equation!
- The answer is y=1/12(x-0)^2+0
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