Answer:
M=2,179.29
The average exceeds the estimate
Her expenses would need to be $1,625.00
Step-by-step explanation:
1.) What is the mean of her friends' personal expenses?
The mean is defined as the average expense value, calculated as follows:
2.) Is the average higher or lower than the estimate?
Given the estimate of $2,110, the average is indeed higher than this estimate.
3.)What amount of personal expenses would Ashley need to maintain a combined average of $2,110 with her friends' amounts for that school year?
Her needed amount of expenses would be $1,625.00.
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.
Max's initial distance from Kim
Max's consistent velocity
