Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
Answer:
percentage of the total capacity is 75.6%
Step-by-step explanation:
Hello! To solve this problem we follow the following steps
1. draw the complete scheme of the problem (see attached image)
2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)


3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians


4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

Aw=At-Ac=153.93-37.57=116.36ft^2
5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

percentage of the total capacity is 75.6%
Answer:
DE = 39.64840676
CE = 35.3269891
Step-by-step explanation:
SOH CAH TOA
Thus,
sin(27) = 18/DE
tan(27) = 18/CE
DE = 39.64840676
CE = 35.3269891
Answer:
attached below is the solution
Step-by-step explanation:
|x| < 7
= -7 < x < 7
| y | < 3
= -3< y < 3
attached below is the shaded region in the xy-plane