Answer:
343.7 ft
Step-by-step explanation:
The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.
The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...
Sin(angle) = Opposite/Hypotenuse
Filling in the given information, you have ...
sin(31°) = (177 ft)/hypotenuse
Solving for hypotenuse gives
hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft
The length of the guy wire should be 343.7 ft.
Answer:
The angular speed of the wheel in radians per second is 0.66.
Step-by-step explanation:
Recall the following statement:
A linear speed (v) is given by,
...... (1)
Here, 
represents the angular speed of the wheel and <em>r</em> represents the radius of the wheel.
From the given information:
Linear speed (v) = 33 cm/s
Radius of the wheel (r) = 50 cm
Now to find the angular speed in radian per second.
Divide both sides by 50.
Hence, the angular speed of the wheel in radians per second is 0.66.
8 would be the length of each piece of wire I think.
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:
A). F = 
B). 374°F
Step-by-step explanation:
A). Formula to convert the temperature from degree centigrade to °F is,
C = 
We have to solve the formula to get the value of F,
9 × C = 
9C = 5(F - 32)
F =
B). In this part we have to find the value of 190° C in °F.
From the formula given in part (A),
F = 
= 374°
Therefore, 190°C = 374°F
