Answer:
124.7 in²
Step-by-step explanation:
A hexagon consists of six equilateral triangles, each of side a, and we can divide each of them into two right triangles.
So, we can calculate the area of one right triangle and multiply by 12.
The formula for the area of one triangle is
A = ½bh
Step 1. Calculate the length of the side a
Per the Pythagorean Theorem,
2.Calculate the area of a small triangle
The base of a small triangle is
b = ½a = ½ × 4√3 = 2√3
The area of one small triangle is
A = ½ bh = ½× 2√3 × 6 = 6√3 in²
3. Calculate the area of the hexagon
A = 12 × 6√3 = 72√3 = 124.7 in²
Answer:
Given the statement: The quotient of a number x and 4 is atmost 5.
Let x be a number.
"quotient of a number x and 4" represented as 
"at most" means '
'
Therefore, the inequality for the given statement is;
Solve the above inequality:
multiply both sides by 4 we get;
Simplify:
Therefore, the solutions for the given inequality is: ![(-\infty , 20]](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%2020%5D)
Answer:
The final answer is 11.9
Step-by-step explanation:
14 x 6 = 84
84/5 = 16.8
16.8 - 4.9 = 11.9
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
53 degrees
Step-by-step explanation:
Angle N = angle E
because angle made by joining end points of same chord on circumference are always equal.
so angle E = 37
Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)
Now in Triangle DEC. Sum if all the angles of triangle us 180
Angle D + angle E + ? = 180
37 + 90 + ? = 180
127 + ? = 180
? = 180 - 127
? = 53 degrees
For this problem, we can assume the total money is X, than we can get the equation of: 0.08*X*12=7680, than we can know X=8000, therefore, Mike's grandmother deposit 8000 in the account.
