The smaller the angle subtended by a side, the smaller the length of the
side.
The correct responses are;
Question 1: The list of sides from shortest to longest are;
- [tex]\begin{array}{|c|c|c|}\overline{MO}&\overline{NO}&\overline{MN}\\Shortest&Medium&Longest\end{array}\right][/tex]
- d) Yes, the sum of the mean number of minutes spent on aerobic training and the mean number of minutes spent on strength training is equal to the mean total number of minutes spent training.
From the given diagram, we have, the measure of the third angle, ∠O, is
found as follows;
∠O = 180° - 54° - 61° = 65°
Therefore, ∠O = The largest angle
We get;
The longest side is opposite the largest angle, which gives;
The shortest side is the side opposite ∠N (54°)= [tex]\overline{MO}[/tex]
The next shortest side is the side opposite ∠M(61°) = [tex]\overline{NO}[/tex]
The longest side is the side opposite ∠O(65°) = [tex]\overline{MN}[/tex]
a) The time spent training on Tuesday = 60 + 10 = 70 minutes
The time spent training on Thursday = 50 + 30 = 80 minutes
The time spent training on Friday = 45 + 40 = 85 minutes
Therefore, the day the athlete spent the longest total amount of time training is on Friday
b) The time spent training on Monday = 10 + 20 = 30 minutes
The time spent training on Wednesday = 20 + 15 = 35 minutes
Therefore, we get;
30, 35, 70, 80, and 85
The median total number of minutes the athlete spent training each day =
70 minutes
c) The time spent strength training = 20 + 10 + 15 + 30 + 45 = 120
The total number of minutes the athlete spent training = 70 + 80 + 85 + 30
+ 35 = 300
[tex]\mathrm{The \ percentage \ spent \ on \ strength \ training} = \dfrac{120}{300} \times 100 = \underline{40 \%}[/tex]
d) The mean number of minutes spent on strength training is found as follows;
[tex]Mean_{strength} = \dfrac{120}{5} = 24[/tex]
The mean number of minutes spent on aerobic training is found as follows;
[tex]Mean_{aerobic} = \dfrac{10 + 60 + 20 + 50 + 40}{5} = 36[/tex]
[tex]Mean_{strength} +Mean_{aerobic} = 24 + 36 = 60[/tex]
The mean total number of minutes spent training, [tex]Mean_{total}[/tex] = [tex]\dfrac{300}{5}[/tex] = 60
Therefore;
- [tex]\underline{Mean_{strength} +Mean_{aerobic} = Mean_{total}}[/tex]
Learn more here:
https://brainly.com/question/2962546
