Answer:
m=22.2
Step-by-step explanation:
By using the Pythagorean’s theorem i.e
hypotenuse^2=opposite^2+adjacent^2
Where
Hypotenuse =unknown
Opposite =18
Adjacent =13
Hyp^2=18^2+13^2
Hyp^2=324+169
Hyp^2=493
Hyp=sqrt 493
Hyp=m=22.2
Answer:
j = 5
Step-by-step explanation:
16j + -6j + -12j = -10
Combine like terms
10j -12j = -10
-2j = -10
Divide by -2
-2j/-2 = -10/-2
j = 5
Answer:
1) They are similar
2) 45 ft
Step-by-step explanation:
1) similar because both triangles have congruent interior angles
2) 75/35 = AB/21
AB = 45 ft
Option 1:
<span>Measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school
</span>
Comment: this might not be a good idea for fairness as we only wish to determine average height of the boys. Taking a group of 50 people randomly, might not give us the same number of boys every time.
Option 2:
<span>Calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
Comment: The context doesn't seem to need a sampling. The number of players in a soccer team is considerably small. We can find exact data by asking in person.
Option 3:
</span><span>
Observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
</span>
Comment: To get a more accurate result and fairer sampling, the period of observing could have been longer, for example, observing for 12 hours on that day, or an alternative is to observe at 5 pm for 7 days in a row. It could happen that no one walking down the Main street precisely at 5 pm wears glasses, or it could happen the other way around.
Option 4:
<span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.
Comment: This sampling does fairly represent the population, although it might be an idea to scale down the sample population, i.e. every fiftieth parent.
Answer: Option 4</span>
Answer:
4 
Step-by-step explanation:
1+1=2 and 1
+ 1
=2
2+2
= 4