Answer:
Option C. 
Step-by-step explanation:
we know that
The area of a regular hexagon can be divided into six equilateral triangles
Applying the law of sines
The area is equal to
![A=6[\frac{1}{2}b^{2} sin(60\°)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E%7B2%7D%20sin%2860%5C%C2%B0%29%5D)
where
b is the length side of the regular hexagon
The length side of the regular hexagon is equal to the distance from consecutive vertices A(-4,2) and B (0,5)
the formula to calculate the distance between two points is equal to
substitute the values
Find the area
![A=6[\frac{1}{2}(5)^{2} sin(60\°)]=65.0\ units^{2}](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%285%29%5E%7B2%7D%20sin%2860%5C%C2%B0%29%5D%3D65.0%5C%20units%5E%7B2%7D)
1. To solve this problem, you must make a System of equations.
2. The equations are:
d+g=22 (i)
0.75d+1.25g=21 (ii)
3. If you clear "d" from the equation (i), you have:
d+g=22
d=22-g
4. Now, you must substitute d=22-g into the equation (ii):
0.75d+1.25g=21
0.75(22-g)+1.25g=21
5. When you clear "g", you obtain its value:
16.5-0.75+1.25g=21
16.5+0.5g=21
0.5g=21-16.5
g=4.5/0.5
g=9 <span>Golden Delicious apples
</span>
6. If you also want to know the value of "d", you can substitute g=9 into the equation (i) and clear "d":
d+g=22
d+9=22
d=22-9
d=13 <span>Delicious apples
</span><span>
How many Golden Delicious apples did Mary buy?
</span>
The answer is: Mary bought 9 Golden Delicious apples.
The answer is A. true, since the order of operations goes as follows:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
One way I was taught to remember it was by creating a saying out of the first letters(PEMDAS=Please Excuse My Dear Aunt Sally).
Answer:
point B
Step-by-step explanation:
it turns in to -1 1/2
