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Marina CMI [18]
3 years ago
8

If cos theta = -2/3 which of the following are possible?

Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

sin theta = opp/hyp = √5/3 = (sq5)/3

csc theta = 1 / sin theta = 1 / (√5/3) =  1 x 3/√5 = 3/√5 = 3/(sq5)

csc theta = 3/(sq5) and tan theta = -(sq5)/2 = B

Step-by-step explanation:

if cos theta = -2/3

the -2 is adjacent

3 is the hypothenus

using pythagoras theorem

(hypothenus)² = (opposite)² + (adjacent)²

3² = opp²+ (-2)² = opp²+ (4)

9-4 = opp² = 5

opp = √5

sin theta = opp/hyp = √5/3 = (sq5)/3

tan theta = opp/adj = √5/-2  = (sq5)/2

csc theta = 1 / sin theta = 1 / (√5/3) =  1 x 3/√5 = 3/√5 = 3/(sq5)

csc theta = 3/(sq5) and tan theta = -(sq5)/2 = b

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Answer:

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Step-by-step explanation:

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Zoya asked the students of her class their baseball scores and recorded the scores in the table shown below: Baseball Scores Sco
nlexa [21]

Answer:

4.06

Step-by-step explanation:

Given :

Scores     Number of students

 0                     1

 1                      2

 2                     5    

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 5                     7

 6                     9

To Find: Mean

Solution:

Mean = \frac{\text{Sum of all scores}}{\text{number of students}}

Mean = \frac{0 \times 1+1\times 2+2\times 5+3\times 3+4\times 6+5\times 7+6\times 9}{1+2+5+3+6+7+9}

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