Answer:
We know that since it's a square, the lenght size is the same on all sides. We can simply use pythagoras theorem:
a^2 + a^2 = 13.5^2
13.5^2 = 182,25
182,25 : 2 (because there are 2 'a') = 91,125
<u>The square root of 91,125 is 9,55 feet.</u>
Answer:
The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean
Explanation:
According to the empirical rule of normal distribution:
1. Approximately 68% of the data falls within 1 standard deviation of the mean
2. Approximately 95% of the data falls within 2 standard deviations of the mean
3. Approximately 99.7% of the data falls within 3 standard deviations of the mean.
Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct
The angle for shooting laser gun should be 89.98°.
The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).
Writing the formula for tan theta, that relates the given height and distance
Now, tan θ = vertical height ÷ horizontal distance
Keep the values in above mentioned equation of theta to find the angle.
tan θ =
Performing division to find the tan theta and subsequently calculate the angle
tan θ = 2438.94
θ = tan⁻¹ 2438.94
Calculating tan inverse to find the value of theta
θ = 89.98°
Therefore, the angle for shooting laser gun by a men in black agent should be 89.98°.
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Answer:
Step-by-step explanation:
Given expression is ,
This would be simplified using the law of exponents , some of which I will use here are ,
Using the above laws ,
Using the second law mentioned above , we have,
Simplify ,
Using the first law mentioned above , we have,
Simplify,
Finally using the fourth law mentioned above , we have ,