Answer:
A = 374.123 ft^2
Step-by-step explanation:
First, lets calculate the perimeter:
Perimeter (p) = side length (s) * number of sides (n)



Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.
Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )







Now, finally, to find the area of a regular polygon, we use the following equation:
Area (A) = ( apothem (a) * perimeter (p) ) / 2




Turning into a decimal:

Let's plug in each coordinate and see what we get:
(2, 0, 0)
-> 2A + 0 + 0 = D
-> 2A = D
-> A = D/2
(0, 6, 0)
-> 0 + 6B + 0 = D
-> 6B = D
-> B = D/6
(0, 0, 5)
-> 0 + 0 + 5C = D
-> 5C = D
-> C = D/5
plugging this back into the equation:
(D/2)x + (D/6)y + (D/5)z = D [then divide through by D]
(1/2)x + (1/6)y + (1/5)z = 1
and since we have to have integer coefficients,
multiply through by 30
so we get
15x + 5y + 6z = 30
Second question
<span>Take a look at the bottom-left point in the picture.
If you move three points in the y-direction, you'll reach to the point A.
If you instead move up 4 points (or in the z-direction), you reach D.
And finally, if you walk back to point F from point E, you'll have moved back 4 points in the x direction. </span>
<span>This gives us our measurements, or dimensions: 3 x 4 x 4.
If this were a rectangular prism, the dimensions would just be each of them multiplied.
But since it's triangular, you need to divide it by two. That gives you a total volume of
(3x4x4)/2 = 24.</span>
Answer:
Arsenic-74-is used to locate brain tumors. It has a half-life of 17.5 days. ... C. Find the amount remaining after 6 days from a 90-mg sample
Answer:
x=37/20
Step-by-step explanation:
4(2x-7)+3(3x-1)=3(2-x)
8x-28+9x-3=6-3x
17x+3x=6+31
20x=37
The equation of the profit function is 300x - 3600
Total cost function C(x) = 74x + 3600
Total revenue function R(x) = 374x
The profit function is the difference between the total revenue and the total cost and this will be:
= R(x) - C(x)
= 374x - (74x + 3600)
= 374x - 74x - 3600
= 300x - 3600
In conclusion, the equation of the profit function is 300x - 3600
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