Answer:
Area = 23.38 square"
Step-by-step explanation:
It is given that a regular hexagon is having a side = 3"
Since hexagon is inscribed in a circle therefore all the triangles formed by the radii and the sides of hexagon will be equilateral triangles.
In a hexagon number of triangles formed = 6
Area of an equilateral triangle = 1/4s²√3
By putting the value of s = 3"
Area of one triangle = 1/4×3²√3 = (9√3)/4
and we know number of triangles formed inside the hexagon = 6
Therefore area of hexagon = 6×(9√3)/4 = 23.38 square"
Answer is 23.38 square"
Yom-ally has a 10.000 property damage liability, what means the insurance will pay that amound for propertie, and a 1000 deductible on her collision insurence so:
A) For the bike is a property of the other person so it will be paid with the insurance of $10000 dollars.
B)and it will pay the $600 dollars
C)her car will be paid with the insurance of collision of $1000 dollars
D)and will pay the $900 dollars
Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
Answer: x ≤ 15
Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x ≤ 15.
Hope this helps!
Answer and Step-by-step explanation:
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