Answer:
It is quantitative because they are looking at the weights which are numbers.
Answer:
The formula for the nth term of this sequence is: 31 + (n-1)X6
Step-by-step explanation:
This is an arithmetic sequence (ie. each term is the last term with a fixed value added to it).
T1 =31
T2 = 37 = T1 + 6 = 31 + 6
T3 = 43 = T2 + 6 = 31 + 6 + 6 = 31 + 6X2
…
In general, the nth term is 31 + 6(n-1)
82/4+20-15
82:4=20.5
20.5+20=40.5
40.5-15=25.5
Polygon area = [circumradius^2 * # sides * sine (360/# sides)] / 2
small hexagon area =[5^2 * 6 * sine (60)] / 2
small hexagon area =[25 * 6 * 0.86603] / 2
<span><span>small hexagon area = 64.95225
</span>
sq feet
</span>
large hexagon area =[10^2 * 6 * sine (60)] / 2
large hexagon area =[600 * 0.86603] / 2large hexagon area =
<span>
<span>
<span>
259.809 </span></span></span>sq feet
Area of shaded region = large hexagon area -small hexagon areaArea of shaded region = <span>
<span>
259.809</span> -</span>64.95225
<span>Area of shaded region =
194.85675 </span><span>sq feet
</span>
Source:http://www.1728.org/polygon.htm
Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
