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:
i think b. at least one of them contracted a lung disease
The answer is B. It’s not too difficult
All four angles are exterior angles of the quadrilateral.
We know that the sum of exterior angles of any polygon is 360 ° .
So we can add together the four angles and solve for x:
(x+16)+(3x-1)+6x+5x = 360
15x+15=360
15x=345
x=345/15=23 °
Answer:
a. 144 cubic foot
b. 12 ft
c. 18 ft
Step-by-step explanation:
Let the volume of prism A be V_a
and that of prism b be V_b
ATQ, V_a + V_b= 432
also V_a= 0.5 V_b
⇒1.5 V_b= 432
= V_b= 432/1.5= 288 cubic feet
therefore V_a= 144 cubic feet
volume of prism= area of base×height = V_a
24×h = 144
⇒h= 12 ft
A_b= 2/3×24
⇒base area of prism B= 16 sq.ft
now 16×h_b= 288⇒h_b= 288/16= 18 ft
