Answer:
D. 7
Step-by-step explanation:
Answer:
The circle on the far left is the sum of 4x + 3y and 2x - y so the answer is 4x + 3y + 2x - y = 6x + 2y. The circle on the far left is the sum of x + 4y and something. To find that "something" we can do 4x + 5y - (x + 4y) = 3x + y which is the value of the bottom right rectangle. This means that the value of the bottom circle is 2x - y + 3x + y = 5x.
Answer:
24°
Step-by-step explanation:
x + 9° + 147° = 180° ( being linear pair)
x = 180° - 156°
x = 24°
Answer:
Part 1) The area of the figure is 
Part 2) The perimeter of the figure is 
Step-by-step explanation:
Part 1) Find the area of the figure
we know that
The area of the figure is equal to the area of three squares
so
![A=3[4^2]=48\ cm^2](https://tex.z-dn.net/?f=A%3D3%5B4%5E2%5D%3D48%5C%20cm%5E2)
Part 2) Find the perimeter of the figure
we know that
The perimeter of the figure is equal to two times the length side of the square, plus the circumference of six semicircles ( or the circumference of three circles)
Remember that
The circumference of a circle is equal to
where
D is the diameter of the circle
In this problem
so
![P=2(4)+3[\pi(4)]=(8+12\pi)\ cm](https://tex.z-dn.net/?f=P%3D2%284%29%2B3%5B%5Cpi%284%29%5D%3D%288%2B12%5Cpi%29%5C%20cm)
simplify
Answer:
Total revenue = 13.5 + 9 = $22.5
Step-by-step explanation:
The toll charges $1.00 for passenger cars and $2.25 for other vehicles. During daytime hours 60% of all the vehicles are passenger vehicles.
A particular daytime period 15 vehicle crossed the bridge. Recall that during daytime period, 60% of all the vehicles are passenger vehicles . Therefore,
Passenger vehicles = 60% of 15
Passenger vehicles = 60/100 × 15
Passenger vehicles = 900/100
Passenger vehicles = 9
9 of the vehicles are passenger vehicle and the charges for passenger cars is $1.00. other vehicle is $2.25.
revenue for passenger cars = 1 × 9 = $9
revenue for other vehicles = 2.25 × 6 = $13.5
Total revenue = 13.5 + 9 = $22.5
