9514 1404 393
Answer:
- 22.0
- 15.0
- 30.0°
- 137.0°
Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
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1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
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2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
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3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
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4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
3.c - 8 = 5
(3.c - product of 3 and a number)
(-8 : 8 less)
The question is an illustration of inequalities.
The inequality that represents Lashonda's amount of exercise is: 
The given parameter is:

In inequality, at least means <em>greater than or equal to</em>.
So, the above equation becomes:

From the question, we understand that the number of minutes should be represented with t.
So, we have:

Hence, the inequality is: 
Read more about inequalities at:
brainly.com/question/15137133
Answer:
The median is the best measure of center for distributions C and D.
Step-by-step explanation:
The <u>median</u> is the best measure of center for skewed distributions or distributions with outliers because it is a <u><em>robust</em></u> statistic, meaning that outliers and skewed data have <em>little effect </em>on the median.
Meanwhile, the <u>mean</u> is a good measure of center for symmetric distributions since it is <u><em>non-robust</em></u>.
Answer A has a roughly symmetric distribution, and answer B has a uniform distribution.
Answer C has a left-skewed distribution, and answer D seems to have a right-skewed distribution (since the right tail is longer than the left tail).
Therefore, the <u>median</u> would be the <u><em>best measure of center</em></u> for choices C and D.