For this case we have that by definition, the slope of the line is given by:
According to the statement we have:
Substituting the values:
Thus, the value of 
Answer:
Answer:
A. 13.31' to the nearest hundredth.
B. 86.52' to the nearest hundredth.
Step-by-step explanation:
Part A>
The apotherm of a regular polygon is the distance of the line segment from the centre of the polygon to the midpoint of a side.
2 radii of this decagon joined to the endpoints of a side form an isosceles triangle with equal sides = 14 cm.
The apotherm is the altitude of this triangle. The vertex of the triangle has an angle of 360 / 10 = 36 degrees and the apotherm bisects this angle.
So using trigonometry on the right triangle formed:
cos 18 = x / 14 where x is the apotherm.
x = 14 cos 18
= 13.31' (answer).
Part B.
Using trigonometry on the right triangle again:
sin 18 = x/2 / 14 (where x is the length of a side of the hexagon)
x/2 = 14 sin 18
x = 2 * 14 sin 18
= 8.652'.
As a decagon has 10 sides the perimeter = 8.652 * 10
= 86.52' to the nearest hundredth.
The sum of the measures of angles in the polygon with n angles is
180°(n - 2)
We have an octagon → n = 8.
The sum of the measures of angles in an octagon is
180°(8 - 2) = 180°(6) = 1080°
The equation:
x + 139 + 140 + 125 + 116 + 152 + 2x + 143 = 1080
3x + 815 = 1080 <em>subtract 815 from both sides</em>
3x = 265 <em>divide both sides by 3</em>
<h3>x = 88 1/3</h3>
Answer:
3
Step-by-step explanation:
Using the rule of exponents
÷ 
= 
, then
÷ 
= 
= 12³
Answer:
n-7
Step-by-step explanation:
N=total number of leaves
7=number of leaves that fall off=subtraction
Hence, n-7.
