Answer:
The mean, because the data distribution is symmetrical.
Step-by-step explanation:
Without even knowing the mean or median this can be solved. The data isn't skewed to the left nor right, so it is symmetrical. The mean is the central value of numbers so it should represent the center well.
Answer: 4.5 miles
Explanation:
When you draw the situation you find two triangles.
1) Triangle to the east of the helicopter
a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°
b) hypotensue = distance between the high school and the helicopter
c) opposite-leg to angle 20° = heigth of the helicopter
d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x
2) triangle to the west of the helicopter
a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°
b) distance between the helicopter and the elementary school = hypotenuse
c) opposite-leg to angle 62° = height of the helicopter
d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x
3) tangent ratios
a) triangle with the helicpoter and the high school
tan 20° = Height / x ⇒ height = x tan 20°
b) triangle with the helicopter and the elementary school
tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°
c) equal the height from both triangles:
x tan 20° = (5 - x) tan 62°
x tan 20° = 5 tan 62° - x tan 62°
x tan 20° + x tan 62° = 5 tan 62°
x (tan 20° + tan 62°) = 5 tan 62°
⇒ x = 5 tant 62° / ( tan 20° + tan 62°)
⇒ x = 4,19 miles
=> height = x tan 20° = 4,19 tan 20° = 1,525 miles
4) Calculate the hypotenuse of this triangle:
hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²
hipotenuse = 4.46 miles
Rounded to the nearest tenth = 4.5 miles
That is the distance between the helicopter and the high school.
Answer:
it represents 10 stars in the galaxies
Step-by-step explanation:
10 to the power of 12 would be 1,000,000,000,000, 10 to the power of 11 would be 100,000,000,000, and those two number divided equals simply 10.
To find the median of the data set, you must first put the numbers in order
33, 33, 35, 41, 42, 50, 53, 56, 62, 70
Now that we have them in order, find the one that is in the middle. In this case it's an even amount of numbers so there are 2 middle numbers 42 and 50.
What you do when you end up with this situation all you have to do is add the two middle numbers
42 + 50 = 92 then divide the total by 2, which is finding the average of the two numbers.
92 ÷ 2 = 46
46 is the median of the data set.
Hope this helps. :)
True. A triangle will always have three sides, and a pentagon will always have five.
