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Mathematics

2 answers:

scoray [572]3 years ago

6 0

Answer:

120 possibilities.

Step-by-step explanation:

The number of teammates = 6

They are competing for the top three positions which are first, second and third.

Any of the 6 teammates can achieve the first position. Hence, three are total 6 possibilities for the first position.

Now, 1 teammate is already achieved the first position. Hence, there are 5 possibilities for the second position.

Similarly, 2 teammates is already achieved the first and second positions. Hence, there are 4 possibilities for the third position.

Therefore, there are 6×5×4 = 120 possibilities.

spayn [35]3 years ago

5 0

Slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120

120 possiblites

answer is C

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Calculate the area of a parallelogram with a 4 inch side, a 10 inch side, and 3 inches tall

stellarik [79]

Answer:

Step-by-step explanation:

Assuming your parallelogram looks like the one in the attached image.

The area of a parallelogram is base x height, $A=bh$ .

The base is 10; the height is 3, so A = 10 x 3 = 30.

6 0

3 years ago

A. 1

dimulka [17.4K]

Step-by-step explanation:

Given equation of circle (in general form) is:

$8 {x}^{2} + 8 {y}^{2} - 16x - 32y + 24 = 0 \\ \\ dividing \: throughout \: by \: 8 \: we \: find : \\ {x}^{2} + {y}^{2} - 2x - 4y + 3 = 0 \\ equating \: it \: with : \\ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0 \\ 2g = - 2 \implies \: g = - 1\\ 2f = - 4 \implies \: f = - 2 \\ c = 3 \\ \therefore \:center = ( - g, \: \: - f) = (1, \: \: 2) \\ \\ radius \: r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{ {1}^{2} + {2}^{2} - 3} \\ = \sqrt{1 + 4 - 3} \\ = \sqrt{5 - 3} \\ = \sqrt{2} \: units$