1. The problem statement tells you to find "the area of the hexagonal face".
2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.
3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.
4. The formula for the area of a circle in terms of its radius is
... A = πr²
5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is
... A = (3√3)/2·r²
6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.
7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.
8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.
9. The area of the hexagon is
... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²
10. The area of the circle is
... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²
11. The area of the hexagonal face is approximately ...
... 166.277 mm² - 50.265 mm² = 116.01 mm²
Answer:
Step-by-step explanation:
A exponential function is represented by
where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.
b to the 0th power equal 1 so
Our equation is for now
Now let plug in 1,30
Divide 5 by both sides
Anything to the 1st power is itself so b equal 6.
So our equation is
Factors are the numbers you multiply together to get another number. when you find the factors of two or more numbers, and then find some of the numbers (factors) are the same (common) you have common factors.
example: 12 and 36
12: 1x12, 2x6, 3x4
36: 1x36, 2x18, 3x12, 4x9, 6x6
the common factors in these numbers are 1, 2, 3, 4, 6 and 12
hope this helped you out!
Answer:
FG = 17x - 6
Step-by-step explanation:
FG = 12x + 5x + 10 - 4
Eva because 3:2 = 9:6 because when they multiply by 3 on each ratio
