Answer: 84.1m
Step-by-step explanation:
Let the height of the flagpole be represented by x.
First and foremost, we have to know that the cosine of 18° = 0.9511.
The equation to get the height will then be:
0.9511 = 80/x
Cross multiply
(0.9511 × x) = 80
0.9511x = 80
Divide both side by 0.9511
0.9511x/0.9511 = 80/0.9511
x = 84.1
The height of the flagpole is 84.1m
Answer:
The mean absolute deviation of the data set is 6
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
- Find the sum of the data values, and divide the sum by the number of data values.
- Find the absolute value of the difference between each data value and the mean: |data value – mean|.
- Find the sum of the absolute values of the differences.
- Divide the sum of the absolute values of the differences by the number of data values
∵ The data are 68 , 59 , 65 , 77 , 56
- Find their sum
∴ The sum of the data = 68 + 59 + 65 + 77 + 56 = 325
∵ The number of data in the set is 5
- Find the mean by dividing the sum of the data by 5
∴ The mean = 325 ÷ 5 = 65
- Find the absolute difference between the each data and the mean
∵ I68 - 65I = 3
∵ I59 - 65I = 6
∵ I65 - 65I = 0
∵ I77 - 65I = 12
∵ I56 - 65I = 9
- Find the sum of the absolute differences
∵ The sum of the absolute differences = 3 + 6 + 0 + 12 + 9
∴ The sum of the absolute differences = 30
Divide the sum of the absolute differences by 5 to find the mean absolute deviation
∴ The mean absolute deviation = 30 ÷ 5 = 6
The mean absolute deviation of the data set is 6
You need to find the slope of the line too. they use m to represent slope.
point slope equation is y - y1 = m(x -x1)
they said to use point (-2, -2)
y -(-2) = 1(x -(-2))
y +2 = 1(x +2)
Answer:
It's A 5 12 & 13 make a right angle
