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BartSMP [9]
3 years ago
15

A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Christine chooses a marble at random, and without putting it

back, chooses another one at random. What is the probability that both marbles she chooses are green? Write your answer as a fraction in simplest form
Mathematics
1 answer:
bonufazy [111]3 years ago
3 0
To pick two green randomly it would be a 20 percent chance for it
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DerKrebs [107]

Answer:

Part 1) c=12.14\ units

Part 2) m\angle A=41.78^o

Part 3) m\angle B=74.22^o

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=9\ units\\b=13\ units\\C=64^o

substitute

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c^2=250-234cos(64^o)

c^2=147.4212

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step 2

Find the measure of angle A

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}

solve for sin(A)

sin(A)=\frac{sin(64^o)}{12.14}(9)

sin(A)=0.6663

m\angle A=sin^{-1}(0.6663)=41.78^o

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

41.78^o+m\angle B+64^o=180^o

m\angle B+105.78^o=180^o

m\angle B=180^o-105.78^o

m\angle B=74.22^o    

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kozerog [31]

Answer:

3c+4

Step-by-step explanation:

When distributing a problem with 2 of the same signs, all you have to do is leave it the way it is. Basically pretend it's not there at all and you should the answer

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3 years ago
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