In a right angled triangle we can use Pythagoras theorem to determine third side in case two sides are given.
The formula of Pythagoras theorem is given by:
![x^{2} +y^{2} =z^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3Dz%5E%7B2%7D%20%20)
Where x , y and z are sides of triangle , z is hypotenuse.
Now we use this formula to find hypotenuse.
Plugging other two sides which are 5 in. and 12 in.
![5^{2} +12^{2} =z^{2}](https://tex.z-dn.net/?f=%205%5E%7B2%7D%20%2B12%5E%7B2%7D%20%3Dz%5E%7B2%7D%20%20)
![25 +144 =z^{2}](https://tex.z-dn.net/?f=%2025%20%2B144%20%3Dz%5E%7B2%7D%20%20)
![169 =z^{2}](https://tex.z-dn.net/?f=%20169%20%3Dz%5E%7B2%7D%20%20)
Taking square root on both sides
square root of 169 is 13
so we have z=13
Hypotenuse is 13 inches.
3(7/16) in your calculator should do it
Answer: 800 feet²
Step-by-step explanation:
Lets remove the brackets from the function's expression
A(x) = -2x²+80x
So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max
As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)
Lets find X1 and X2
x(80-2x)=0
x1=0 80-2*X2=0
x2=40
So Xmax= (0+40)/2=20
So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²
Answer:
System utilization = 0.7 or 70%
Step-by-step explanation:
Given arrival rate of customer = 15 customer/Hour
Servie rate =
Now, use the below formula to find the system utilization.
System utilization =
System utilization =
System utilization =
System utilization = 0.7 or 70%
The data points that fall within the mean absolute deviation are 2.9 and 3.1.
<h3>What is the mean absolute deviation?</h3>
The mean absolute deviation is the mean average distance between every data point and the mean of the data set.
From the information given:
- Mean of the data set = 5.3
- Mean absolute deviation = 2
The mean absolute deviation is:
= (|5.3 - 2|)/1
= 3.3
Thus, the data points that fall within the mean absolute deviation are 2.9 and 3.1.
Learn more about mean absolute deviation here:
brainly.com/question/447169
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