Answer: ![18\sqrt{91}](https://tex.z-dn.net/?f=18%5Csqrt%7B91%7D)
Step-by-step explanation:
You must apply the following formula for calculate the lateral area the regular pyramid:
Where p is the perimeter of the base and l is the slant height:
![LA=\frac{p*l}{2}](https://tex.z-dn.net/?f=LA%3D%5Cfrac%7Bp%2Al%7D%7B2%7D)
Find the apothem of the hexagonal base:
![a=\frac{s}{2tan(\frac{180}{n})}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bs%7D%7B2tan%28%5Cfrac%7B180%7D%7Bn%7D%29%7D)
Where s is the side length and n is the number of sides the polygon.
![s=6\\n=6](https://tex.z-dn.net/?f=s%3D6%5C%5Cn%3D6)
Then:
![a=\frac{6}{2tan(\frac{180}{6})}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B6%7D%7B2tan%28%5Cfrac%7B180%7D%7B6%7D%29%7D)
![a=3\sqrt{3}](https://tex.z-dn.net/?f=a%3D3%5Csqrt%7B3%7D)
Apply the Pythagorean Theorem to find the slant height:
![l=\sqrt{(3\sqrt{3})^2+8^2}=\sqrt{91}](https://tex.z-dn.net/?f=l%3D%5Csqrt%7B%283%5Csqrt%7B3%7D%29%5E2%2B8%5E2%7D%3D%5Csqrt%7B91%7D)
The perimeter is:
![p=6*s=6*6=36](https://tex.z-dn.net/?f=p%3D6%2As%3D6%2A6%3D36)
Susbtituting values, you obtain:
![LA=\frac{36*\sqrt{91}}{2}=18\sqrt{91}](https://tex.z-dn.net/?f=LA%3D%5Cfrac%7B36%2A%5Csqrt%7B91%7D%7D%7B2%7D%3D18%5Csqrt%7B91%7D)
Answer:
A). interval 0 ≤ x ≤ 2
B). interval 2 ≤ x ≤ 4
C). interval 8 ≤ x ≤ 10
D). h(14) = 0
Step-by-step explanation:
Part A.
In the interval 0 ≤ x ≤ 2, height of the water balloon is increasing.
Part B.
In the interval 2 ≤ x ≤ 4, height of the water balloon is constant.
Part C.
In the interval 8 ≤ x ≤ 10, height of the water balloon is decreasing the fastest.
Slope of the line between x = 8 and x = 10 is the maximum.
Part D.
Since at x = 10 height of the water balloon is h = 0, therefore, at any moment after x = 10 seconds height of the balloon will remain zero.
Answer:
why does it say upload?
Step-by-step explanation:
<h3>
Answer: Choice A) 0.29 dollars</h3>
Work Shown:
16 ounces = 4.69 dollars
16/16 ounces = 4.69/16 dollars .... divide both sides by 16
1 ounce = 0.293125 dollars
1 ounce = 0.29 dollars .... rounding to the nearest cent
Answer:
see the explanation
Step-by-step explanation:
we know that
A gross is equal to 120 ones or ten dozen
what is 15 tens - 1 gross
we know that
15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you
![10(15)=150](https://tex.z-dn.net/?f=10%2815%29%3D150)
1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12
which gives you
![10(12)=120](https://tex.z-dn.net/?f=10%2812%29%3D120)
so
The algebraic expression of 15 tens - 1 gross is equal to
![150-120=30](https://tex.z-dn.net/?f=150-120%3D30)
Convert to word expression
3 tens