Answer:
A
Step-by-step explanation
You need to subtract the 3 1/5 from both sides, which gives you 29/5
To get this you would do 8x8 which equals 64
For this case we have the following inequality:
We multiply both sides of the equation by -1.
By doing this, change the symbol of the inequality.
We have then:
From here, we clear the value of x.
We have then:
Answer:
The solution set is:
{x | x R, x < -12}
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:
16.56 in
Step-by-step explanation:
4 sides of the squares are exposed
The radius of each semicircle is 1 since they are against 2 squares.
2pi*r=circumfrence
2pi*1=6.28
6.28/2=3.14 because it's a semicircle
3.14*4=12.56 because there are 4 equal semicircles
12.56+4=16.56
