Answer:
Part a) The slant height is 
Part b) The lateral area is equal to 
Step-by-step explanation:
we know that
The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces
so
![LA=6[\frac{1}{2}(b)(l)]](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28l%29%5D)
where
b is the length side of the hexagon
l is the slant height of the pyramid
Part a) Find the slant height l
Applying the Pythagoras Theorem
where
h is the height of the pyramid
a is the apothem
we have
substitute
Part b) Find the lateral area
we have
substitute the values
![LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}](https://tex.z-dn.net/?f=LA%3D6%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%5Csqrt%7B2%7D%29%5D%3D54%5Csqrt%7B2%7D%5C%20units%5E%7B2%7D)
The answer should be look it up
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
Answer:
140 feet
Step-by-step explanation:
You will need to find the perimeter of the backyard to find how many feet of fencing will be needed
the formula for perimeter is: 2l+2w
So 2 times 30 is 60
with 2 times 40 80
60+80 is 140
Thus you will need 140 feet to cover the backyard
Hope this helps!
