The central angle of the hexagon is equal to 60º.
Therefore, the trigonometric relationship for the radius is given by:
Where,
a: apothema of the hexagon
c: Hexagon radius.
Clearing the radio we have:
Substituting values:
Rounding to the nearest whole number we have:
Answer:
The measure of the radius, c, rounded to the nearest inch is:
C. 14 in.
Answer:
Step-by-step explanation:
first term = a = 352
Common difference = d = second term - first term
= 345 - 352
= (-7)
nth term = a + (n-1)*d
43rd term = 352 + (43-1)*(-7)
= 352 + 42 *(-7)
= 352 - 294
= 58
Answer:
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
Step-by-step explanation:
Take a number, x.
Now increase it by 5%.
1.05x
Now increase it by 20%.
1.2 * 1.05x = 1.26x
1.26x = 126% of x = 100% of x + 26% of x
100% of x is the same as x, so it is the same as the original x.
The increase is 26% of the original number.
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
12345678910111213
12 and 13 are consecutive numbers
12+13=25
hence, 12 and 13 are your answers
