A diagram must be associated with the question above. Based on what I researched, this is what I got.
The blue sector of the circle is 120 degrees.
area of the blue sector = 1/3 of pi * 2^2
= 4.19cm2
I hope this answer helps.
Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have 



Here,
is the domain and
is the co-doamin.
Therefore, 
Now, OPTION A: 
Substitute x = 4. We get f(x) = 3
18.
So, OPTION A is rejected.
Similarly, OPTION B: 
Substitute x = 4. We get f(4) = 22
18.
It is rejected as well.
Now, for OPTION C: 
Substitute x = 4. We get f(4) = -3
18.
So, OPTION C is also rejected.
OPTION D: 
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.
Answer:
37
Step-by-step explanation:
6th square number is 6 and 6² = 36
first cubed number is 1 and 1³ = 1
36+1=37
C.) supplementary angles, complementary angles
Step-by-step explanation:
Look at the picture below.
A supplementary angle(s) has a total sum of 180°
A complimentary angle(s) has a total sum of 90°
Other angles like congruent, only refer to an angle that is exactly the same.
Therefore, C would be the correct answer.
Let's start out by setting up three separate equations for each customer.
d = cost of drink, f = cost of fries, h = cost of hamburger
Miller Family: 4h + 3f = 13.27
James: d + h + 2f = 6.33
Steven: 2h + f + d = 7.04
Since the Miller's didn't order any drinks, let's start by using substitution to find the cost of d between James and Steven.
Let's isolate d with James:
d + h + 2f = 6.33
d = 6.33 - h - 2f
Now let's plug that into Steven's equation:
2h + f + d = 7.04
2h + f + (6.33 - h - 2f) = 7.04
h - f + 6.33 = 7.04
h - f = 0.71
h = 0.71 + f
Let's plug that new h into the Miller Family's equation:
4h + 3f = 13.27
4(0.71 + f) + 3f = 13.27
2.84 + 4f + 3f = 13.27
2.84 + 7f = 13.27
7f = 10.43
f = 1.49
So medium fries cost $1.49
Let's plug f back into the Miller Family's equation to get h:
4h + 3f = 13.27
4h + 3(1.49) = 13.27
4h + 4.47 = 13.27
4h = 8.8
h = 2.2
So a hamburger costs $2.20
Let's plug h and f into Steven's equation to calculate d
2h + f + d = 7.04
2(2.2) + (1.49) + d = 7.04
4.4 + 1.49 + d = 7.04
5.89 + d = 7.04
d = 1.15
So a medium drink costs $1.15
The answer is B. Drink = $1.15, Fries = $1.49, Hamburger = $2.20