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Lena [83]
4 years ago
11

Evaluate the following expression exactly: cosine of 120°

tle="cos(120)" alt="cos(120)" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Maslowich4 years ago
8 0

Answer:

cos120° = - \frac{1}{2}

Step-by-step explanation:

note that 120° is an angle in the second quadrant where cos < 0

cos120° = - cos(180 - 120)° = - cos60° = - \frac{1}{2}


scoray [572]4 years ago
3 0

Answer:

cos(120°) =  -1/2° or 0.5°

Step-by-step explanation:


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If the average speed of a garden snail is 0.025 miles per hour and one inch is approximately 2.54 centimeters, how many minutes
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Option B 1.5 min

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3 0
3 years ago
The following table gives the scores of 30 students in a mathematics examination. Scores 90–99 80–89 70–79 60–69 50–59 Students
Pavel [41]
The given data is
Scores:      90-99  80-89  70-79  60-69  50-59
Students:   3          7           12        4          4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30

The mean is
m =2245/30 = 74.833

Calculate (Sx - m)² 
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
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Calculate the standard deviation
s = √(3896.7/29) = 11.592

Answer:
mean = 74.83
std. deviation = 11.59
6 0
4 years ago
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