Answer:
<em>m=-1/2</em>
Step-by-step explanation:
The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.
Therefore the slope is -1/2.
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
Answer:
Step-by-step explanation:
Sorry i dont know
42°
Step-by-step explanation:

(Angles in linear pair)



(Angle sum postulate of a triangle)



(corresponding angles)

(vertical angles)


Answer:
Sonji is 0.5 miles far from the finish line
Step-by-step explanation:
Data provided in the question:
Distance between the Sonji and the finish line = 0.4 miles
Distance run by Sonji back = one tenth of a mile
i.e =
miles = 0.1 miles
Hence,
The total distance of Sonji from the finish line will be
= Distance between the Sonji and the finish line + Distance run by Sonji back
= 0.4 miles + 0.1 miles
= 0.5 miles
Hence,
Sonji is 0.5 miles far from the finish line