Answer:
745.44 mm² (nearest hundredth)
Step-by-step explanation:
Section the shape into a semicircle, a rectangle and a triangle by drawing a line vertically through the point, and a vertical line upwards from the corner of the 12.5 mm and 32.5 mm corner.
area of semicircle = (1/2) r² = 78.125
mm²
area of the rectangle = 12.5 x 25 = 312.5 mm²
area of triangle = 1/2 x (55 - 25) x 12.5 = 187.5 mm²
total area = 312.5 + 78.125 + 187.5 = 745.44 mm² (nearest hundredth)
Answer:
The fire hydrant = 9 meters west and south of the tower = 58 m
Step-by-step explanation:
The coordinate as the origin includes the Fire A and Fire B
Given that
Fire A is 75 meters east and south of the tower is 40 meters
So, it is presented (75,-40)
And, the fire B is 37 west and south of the tower is 64 meters
So, it is presented (-37,-64)
Now at a point O (x,y) divides AB a line segment as A(x_1, y_1) and B(x_2, y_2)
So,
Now it divides in three-fourth
So,
Hence, these two are to be considered