Answer:
54
Step-by-step explanation:
Multiply:
<em>37x37=72</em>
<em>Subtract:</em>
<em>180-72=108</em>
<em>Divide:</em>
<em>108/2=54</em>
That they are the exact same shape. Some of the sides will be longer and shorter than the other figure, but same shape.
Answer:
Step-by-step explanation:
Answer:
No solution.
Step-by-step explanation:
Given

Required
Find all possible solutions
If
, then the triangle is right-angled and the hypotenuse is at b
Given that 
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Answer:
The value is 
The correct option is a
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is

=> 
Generally from the normal distribution table the critical value of is

Generally since the sample proportion is not given we will assume it to be

Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B%201.96%20%7D%7B0.05%7D%20%5D%5E2%20%2A0.5%20%281%20-%200.5%29%20)
=> 
Generally the margin of error is mathematically represented as

Generally if the level of confidence increases, the critical value of
increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also
So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.