Area of the shaded region to be covered with grass is 204 yd²
Step-by-step explanation:
- Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.
Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them
Sum of parallel sides = 25 yd + (3 + 12) = 40 yd
Distance between them = 12 yd
⇒ Total area = 1/2 × 40 × 12 = 240 yd²
- Step 2: Find the area of the lap pool.
Area = length × width = 12 × 3 = 36 yd²
- Step 3: Find the area of the shaded region
Area to be covered with grass = 240 - 36 = 204 yd²
Answer:
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Step-by-step explanation:
Given that:
Cost of each lunch = $2.50
Cost of monthly lunch pass = $40.00
Number of lunches = x
For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore
Cost of lunch * Number of lunches > Cost of monthly lunch pass
2.50x > 40.00
Hence,
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using the Z theorem, the upper angle on the right = 60 degrees.
The angle which includes 3x is 120 because this is a parallelogram and consecutive angles must add to 180. So 180 - 60 = 120
The angle above the 3x is 120 - 3x
120 - 3x + 90 + 2x = 180 These angles make a straight line line. Combine.
210 - x = 180 Subtract 210 from both sides.
- x = 180 - 210 Combine
-x = - 30 Multiply both sides by - 1
x = 30
