The area of a regular hexagon is
... A = (3√3)/2×s² . . . . . where s is the side length
Of course, the 6-sided figure will have a side length that is 1/6 of the perimeter.
... s = (48 in)/6 = 8 in
... A = (3√3)/2×(8 in)² = 96√3 in² . . . area of your regular hexagon
The second equation is correct. Nina initally had 17 marbles in her bag. Her mother placed m marbles into her bag. After counting, she now has 34 marbles. Part of this 34 marbles is already her initial 17 marbles. Therefore, 17 marbles initially + m unknown marbles = 34 marbles. The equation <span>17 + m = 34 is the answer.</span>
Answer:
1~30
2~3
3~40
4~70
5~90
6~90
7~80
Step-by-step explanation:
subtract the total revenue from the total cost
Answer:
The answer is 135 degrees.
Step-by-step explanation:
As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.



At time t=0;


As i attach in the picture the angle between the velocity and acceleration vector is
degrees
Answer: 
<u>Step-by-step explanation:</u>
a₁, 375, a₃, a₄, 81
First, let's find the ratio (r). There are three multiple from 375 to 81.
![375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}](https://tex.z-dn.net/?f=375r%5E3%3D81%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B81%7D%7B375%7D%5C%5C%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B27%7D%7B125%7D%5Cqquad%20%5Cleftarrow%20simplied%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B27%7D%7B125%7D%7D%5C%5C%20%5C%5C%5C%5Cr%3D%5Cdfrac%7B3%7D%7B5%7D)
Next, let's find a₁

Lastly, Use the Infinite Geometric Sum Formula to find the sum:
