Answer:
Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number
Step-by-step explanation:
Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number
Answer:
B
Step-by-step explanation:
<u>This is a right triangle as shown by the right angle.</u>
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.

Since, we need angle A,
is A, opposite side is 3, and hypotenuse is 9, we substitute:

<em>To solve for the angle, we use our calculator and find the inverse sin of
:</em>

<em>Rounding to nearest tenth of a degree:</em>

B is the right choice.
Answer:
Step-by-step explanation:
p + n + d + q = 25
Put everything into quarters.
p and q are equally likely to be drawn
q + n + d + q = 25
There are 3 times as many nickels as quarters
n = 3q
q + 3q + d + q = 25
There is 25% more dimes than quarters.
d = 1.25 q
q + 3q + 1.25q + q = 25
6.25 q = 25
q = 25/6,25
=====================
q = 4
p = 4
d = 1.25 * 4 = 5
n = 12
A hexagon can be considered to be 6 triangles with a common vertex.
Area of 1 of the triangle = 1/2 * 2 * side length
Area of whole hexagon is 6 times this.
1 is 4/5=8/10=16/20
2 is 9/2=18/4=3616
3 is 11/12=22/24= 44/48
4 is 6/10=12/20=24/40
5 is 8/6=16/12=32/24
6 is 3/7=6/14=12/142