Answer:
The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.
Step-by-step explanation:
let x be the first angle then the the second angle is x - 18 and the third angle = x + 10
The 3 angles add up to 180 so:
x + x - 18 + x + 10 = 180
3x = 180 + 18 - 10 = 188
x = 188/3 = 62 2/3 degrees.
x - 18 = 44 2/3
x + 10 = 72 2/3.
The quantities include hours and minutes.
The the known and unknown quantities can be used to write an equation and this gives 60 minutes.
<h3>How to explain the information?</h3>
It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.
Therefore,
2 hours = 120 minutes, and
2.5 hours = 150 minutes.
If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.
The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:
120 + 1.5x = 150 + x
1.5x - x = 150 - 120
0.5x = 30
x = 30/0.5 = 60
The time taken is 60 minutes.
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1885.5 m^3 of water will fill the container.
To find how many cubic feet of water will it contain:
Given -
- Lauren has an above-ground swimming pool.
- The water level in the pool must be 4 inches above the pool's surface in order for the skimmer to function properly.
- π = 3.14
The pool comprises a 12-foot-radius cylinder with a height of 4.5 feet.
- Height of pool = 4.5 ft
- Radius of pool = 12 ft
- The height of the water is 4 inches below the pool top
- 12 inches make 1 ft
- 4 inches = 4/12 ft = 0.33 ft
- Therefore, height of water = 4.5 - 0.33 = 4.17 ft
The volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed.
- The volume of the cylinder formed by the water = volume of water =

- volume = 3.14 x
x 4.17 = 1885.5 m^3 of water
Therefore, 1885.5 m^3 of water will fill the container.
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The complete question is given below:
Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
A cylinder with a radius of 12 feet and a height of 4.5 feet.
Answer:
B) Angle 2 and Angle 3
Step-by-step explanation:
Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary
Angle 7 and 8 are supplementary
Angle 1 and 7 are supplementary
Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.