We can solve this question in 2 ways: either using
degrees or converting the degrees into
radians.
Since, the question says degrees itself and there is no specification of using radians only, so I have solved it using degrees itself.
Part (a):
Perimeter of sector ORS = 2*Radius + Arc RS = 2*21 +

Part (b):
Area of sector ORS =

Area of sector POQ =

Thus, area of shaded region
= Area of sector ORS - Area of sector POQ
=
Y = ax + 4x - 2 x= 1
y = a(1) + 4(1) -2
y = a + 2
y - 2 = a
Answer:
x = 1
y = 5
Step-by-step explanation:
You can use either substitution or elimination for this problem. I will use substitution.
Step 1: Replace x in the 1st equation
-10(y-4) + 3y = 5
-10y + 40 + 3y = 5
-7y = -35
y = 5
Step 2: Plug <em>y </em>into an original equation to find <em>x</em>
x = 5 - 4
x = 1
And you have your final answers!
Answer:
Let x = # of commercials
y = # of movies
<u>System of Equations:</u>
x + y = 90
40x + 110y = 500
Step-by-step explanation:
We have to set our variables before we start solving. After setting the variables, we can set up the equations. If x = # of commercials and y = # of movies, then we can assume x + y = 90, as there have been a total of 90 commercials and movies played altogether. Then, we know that their worth is $500, so the price of all the commercials played and the price of all the movies played (which is 40x + 110y) sum to $500.
Answer:
157,000,000,000
Step-by-step explanation:
314,000,000 X 500