What do the angles in a triangle add up to

Mathematics

2 answers:

qaws [65]3 years ago

8 0

Answer: 180° .
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ale4655 [162]3 years ago

4 0

Angles in a triangle add up to 180 degrees

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Fiona wants 6 red, 3 green and 3 yellow buttons on her dress. All buttons must be placed along a straight vertical line with no

elixir [45]

The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.

In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.

i.e $_{n}$ $P_{r}$ = $\frac{n!}{(n - r)!}$

Red 6

Green 3

Yellow 3

Total 12

Since no two neighbouring buttons of the same colour is allowed, then 3 buttons would be arranged at a time.

Thus, n = 12 and r = 3;

$_{12}$ $P_{3}$ = $\frac{12!}{(12 - 3)!}$

= $\frac{12!}{9!}$

= $\frac{12*11*10*9!}{9!}$

= 12 x 11 x 10

$_{12}$ $P_{3}$ = 1320

Therefore the buttons can be arranged in 1320 ways without two neighbors having the same colour.

Visit: brainly.com/question/1408616

3 0

3 years ago

Read 2 more answers

Pls help me on these 2 questions !!

motikmotik

Answer:

1. 23

2. 8

Step-by-step explanation:

☆Cross multiply.

$\frac{2}{10} = \frac{4}{a - 3} \\ \\ 40 = 2(a - 3) \\ 40 = 2a - 6 \\ \frac{ + 6 = \: \: \: \: \: \: \: \: + 6}{ \frac{46}{2} = \frac{2a}{2} } \\ \\ 23 = a$