In a pictorial graph, icons are utilized to depict the data presented. For instance, if a survey was conducted regarding food preferences at a barbecue, we might incorporate images of a hamburger, a hot dog, and a chicken leg. However, we cannot deduce the quantities involved merely by juxtaposing the icons.
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.
The true value is 25.7 ml.
The calculated error is 15.6%.
Thus, the error amount equals 0.156 times 25.7, which calculates to 4.0092 ml.
The percentage error indicates that the student's measurement could either exceed or fall short of the true value by this error amount.
This leads to two potential readings:
one possibility is: 25.7 + 4.0092 = 29.7092 ml
the other possibility is: 25.7 - 4.0092 = 21.6908 ml
2x − y = −4 → 10x − 5y = −20
3x + 5y = 59 → 3x + 5y = 59
13x = 39..... this is derived from adding the two equations on the right.
13x = 39 can be used in place of 3x + 5y = 59 in the initial system and will yield the same result.
Laura sold 32 boxes, Kelly sold 17, and Tia sold 34 boxes. Step-by-step explanation: Let Laura's boxes be represented by L. Kelly sold L - 15, and Tia sold 2(L - 15). Therefore, the equation L + (L - 15) + 2(L - 15) = 83 can be solved as follows: 4L - 45 = 83, giving us 4L = 128, hence L = 32. Subsequently, Laura sold 32 boxes, Kelly sold 17 (which is 32 - 15), and Tia sold 34 (totaling twice Kelly's sales). The overall total is 32 + 17 + 34 = 83.
