Mr. Nguyen plants 24 trees around the neighborhood pond. he plants equal numbers of maple,pine,spruce, and birch trees. ge water

Response:

Detailed explanation:

To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;





you can verify that using your calculator.

The distance from point Y to the flag post measures 38.13 m. Step-by-step explanation: Assuming point Y is located at the intersection of both lines shown. Point X is positioned 34 meters east of point Y. The flagpole at point X is observed at a bearing of N18°W, meaning it creates an angle of 18° to the west from the north at point X. Conversely, at point Y, the flagpole has a bearing of N40°E, which makes a 40° angle towards the east from the north. Considering ∆ AXY as a right triangle, the angle FXY is established. Then, concerning ∆ BYX as another right triangle, the angle FYX is also determined. To find the third angle ∠YFX in triangle FYX, the angle sum property of triangles can be applied: ∠YFX + ∠FYX + ∠FXY = 180° Thus, we have: ∠YFX + 50° + 72° = 180° leading to ∠YFX = 58°. Now we can calculate the distance FY using the sine rule.

2(4x-11) = 10

Method 1:
Divide both sides by 2:




Then add 11 to both sides:





Finally divide both sides by 4





Method 2:

Use the distributive property:







Add 22 to both sides:





Then divide both sides by 8