Round 235,414 to the nearest Tens
2 answers:
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Answer:
a) i) The drawing of Zeno's route is attached
ii) The bearing of Zeno's return journey is 241° from point C to point A
b) Yes, Zeno returns to Port A before 5.15pm
Step-by-step explanation:
a) i) Please find attached the drawing of Zeno's route
ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A
b) The distance from point C to point A = 10·√5 km
The speed with which Zeno sails as he returns = 10 km/h
The time it takes Zeno to return t = Distance/Speed
∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds
The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.
Therefore, Zeno returns to Port A before 5.15pm.
Answer:
The volume of the cylindrical tank is 176.625 cubic feet.
Step-by-step explanation:
Given : The tank is 9 feet high and has a diameter of 5 feet.
To find : Marjorie needs to calculate how much water a cylindrical tank will hold ?
Solution :
The volume of a cylinder is
The diameter is d=5 feet
The radius is
feet.
The height is h=9 feet.
Substitute the value in the formula,
The volume of the cylindrical tank is 176.625 cubic feet.
Any face on a prism that is not a base is a lateral face (see the attached image). The prism in the picture has a hexagonal base (6 sided) and 6 lateral faces. The lateral faces meet each other at lateral edges, as well as meeting both bases. Each lateral face is a polygon with four sides. All edges of the laterals are the same size and parallel. This makes the lateral faces parallelograms, containing a 4-sided figure with opposite sides that are parallel.
