Answer:
√13 ≈ 3.6056
Step-by-step explanation:
The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...
c² = a² + b² - 2ab·cos(C)
c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13
c = √13 ≈ 3.6056
The length of the third side is √13, about 3.6056.
Answer:
no solutions
Step-by-step explanation:
y = -3x +10
3x +y = 5
Substitute the first equation into the second equation
Let every instance of y in the second equation be replaced with -3x+10
3x+ (-3x+10) = 5
Combine like terms
10 =5
This is never true so there are no solutions
(These are parallel lines with the same slope but different y intercepts)
The second option square root of 2^5
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Answer:
89.84375
Step-by-step explanation:
Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.
To find weighted mean.
Here weights can be considered as number of majors in each subject
Weighted total = 1350+595+930 = 2875
Weighted mean = weighted total/total students
