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Art [367]
3 years ago
5

Jenny has been given a list of 4 bands and asked to place a vote. Her vote must have the names of her favorite, second favorite,

and third favorite bands from the list. How many different votes are possible?
Mathematics
1 answer:
Darya [45]3 years ago
3 0

4? I'm not sure, since I'm in a rush.

Work:

1. Band 1, 2, 3

2. Band 2, 3, 4

3. Band 3, 4, 1

4. Band 1, 2, 4

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What is the value of k?
seraphim [82]

Answer:

k=2

Step-by-step explanation:

We have got a right triangle LNO with sides = m,4 and 8

By Pythagorean theorem

m^2=4^2 +8^2

Or m^2 = 80  ... i

IN triangle NOM, 4^2 +k^2 = l^2

i.e. 16+k^2 = l^2... i

In triangle LNM, m^2+l^2 = (8+k)^2

Substitute for m^2 as 80,

i.e. 80+l^2 = 64+k^2 +16k  ... iii

From i, l^2 = 16+k^2

Substitute in iii

80+16+k^2 = 64+k^2 +16k

16k = 32 or k =2


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