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:
c. 24 is a solution
Step-by-step explanation:
Given equation:
To test the numbers 22, 23, 24, 25 for the solution.
Solution:
In order to test the given number for the solution, we will plugin each number in the unknown variable 
and see if it satisfies the equation.
1) 
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
The above statement can never be true and hence 22 is not a solution.
2) 
The fractions can no further be reduced.
The statement can never be true and hence 23 is not a solution.
3) 
Reducing fraction to simplest form by dividing the numerator and denominator by their G.C.F.
The above statement is always true and hence 24 is a solution.
4) 
The fractions can no further be reduced.
The statement can never be true and hence 25 is not a solution.
Answer:
first answer:-1.75
second:-15.75
third:-40.25
Step-by-step explanation:i am too lazy srry
Answer:
abnormally or excessively sensitive, either psychologically or in physical response. / Extremely sensitive
Step-by-step explanation: Definition of hypersensitive: abnormally or excessively sensitive, either psychologically or in physical response.
Answer:
your answer would be A.
Step-by-step explanation:
Already you know that answers b and d are not an option because it is saying she can use OVER 45 dollars. So she has to use EQUAL or less then 45 dollars. So the answer has to be A or C. In answer C it is saying she can spend MORE then 2.50 for a bunch where she cant. She has to spend exactly or less then that amount. So your answer is A.
