A stereo system is being installed in a room with a rectangular floor measuring 16 feet by 12 feet and an 8-foot ceiling. The s
tereo amplifier is on the floor in one corner of the room. A speaker is at the ceiling in the opposite corner of the room. You must run a wire from the amplifier to the speaker, and the wire must run along the floor or walls (not through the air). What is the shortest length of wire you can use for the connection?
1 answer:
Answer:
4√41 ≈ 25.61 feet
Step-by-step explanation:
The shortest route is the one that crosses the longest edge between room surfaces. In this case, that is the 16-foot edge between the floor and wall opposite the amplifier, or the 16-foot edge between the ceiling and the wall adjacent to the amplifier.
The length of the required wire is ...
√((8+12)² +16²) = √656 = 4√41 ≈ 25.61 . . . feet
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Answer:
11232000 plates can be made.
Step-by-step explanation:
The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 digits from a set of 10(there are 10 digits from 0 to 9).
3 letters from a set of 26. So
Total:
11232000 plates can be made.