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Alja [10]
3 years ago
10

Help please :( From a standard deck of cards, 1 ace (A), 1 king (K), 1 queen(Q), and 1 Jack () are placed into a box. An experim

ent requires that two cards are
drawn one at a time from the box with replacement.
Which of the following four tree diagrams represents all possible outcomes of the experiment?

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer: it's either a or b

Step-by-step explanation:

I am not really sure but I think it's A because they said one of each card has been placed in a box. Then I said it's B because there are four of each card of ace, kind, jack and a queen in a standard deck of cards

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Answer:

m\angle KLM=53.13^o

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle KOM

In the triangle KOM

we have

KO=MO=r=5\ units

KM=8\ units

Applying the law of cosines

8^2=5^2+5^2-2(5)(5)cos(KOM)

64=50-50cos(KOM)

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cos(KOM)=-14/50

m\angle KOM=cos^{-1}(-14/50)

m\angle KOM=106.26^o

step 2

Find the measure of the arc KM

we know that

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we have

m\angle KOM=106.26^o

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arc\ KM=106.26^o

step 3

Find the measure of angle KLM

we know that

The inscribed angle is half that of the arc comprising  

m\angle KLM=\frac{1}{2}[arc\ KM]

we have

arc\ KM=106.26^o

substitute

m\angle KLM=\frac{1}{2}[106.26^o]

m\angle KLM=53.13^o

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