Answer:
The lengths of the diagonals is 22.
Step-by-step explanation: Since the shape is a rectangle, the diagonals are congruent, we can form the equation 3x+7=5x-3.
Solve for x; 2x=10-->x=5.
Plug 5 into one of the equations. 3(5)+7=22. 5(5)-3=22
Hope this helps!
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Answer:
Step-by-step explanation:
Given the dataset 147, 154, 156, 161, 162,
Mean is the sum of the dataset divided by the total number of dataset.
a) Mean = 

b) The formula for calculating the deviation from the mean for each value is expressed as
where;
Xi is value of each item
xbar is the mean = 156
Mean deviation of 147 = 147-156 = -9
Mean deviation of 154 = 154-156 = -2
Mean deviation of 156 = 156-156 = 0
Mean deviation of 161 = 161-156 = 5
Mean deviation of 162 = 162-156 = 6
c) Sum of the deviations
= (-9-2+0+5+6)
= -11+11
= 0
<em>Hence the sum of deviation from the mean is 0</em>
Sector Area = (central angle / 360) * PI * radius^2
Sector Area = 300 / 360 * PI * 8^2
Sector Area = (5/6) * 64 * PI
Sector Area = 53.3 * PI
Source:
http://www.1728.org/radians.htm
Yes 87 is greater then 13.6889