The explicit formula of an arithmetic sequence:
We have:
Substitute:
Answer: an = 30n - 130
M = 135/19 and n = -5/19
You have to give them like terms so that when you eliminate they cancel out and you can solve. The easiest way to do so is by multiplying the top equation by -4 and the bottom by 3.
Vicki ate 5/20 cookies on Friday and 15/20 last week
Answer:
10.39 ft²
Step-by-step explanation:
To answer the question, we need to know the following;
- A regular polygon is a polygon whose sides are equal
- A hexagon is a six sided polygon
- A regular hexagon is a polygon with six equal sides
In this case, the length of one side of the hexagon is 2ft
We are required to determine the area of the hexagon;
We need to determine the number of triangles we can divide an hexagon into triangles from its center, then determine the center angle of each triangle.
Center angle = 360° ÷ 6
= 60°
Therefore, we have six isosceles triangles whose base side is 2 ft in length and the one angle at the top is 60°
Dividing the a triangle into two we have two right angled triangle each with an angle of 30° and one of the shorter side as 1 ft.
Using trigonometric ratios we can determine the other side.
tan 30 = opp/adj. opposite is 1 side
Adj = 1 ft ÷ tan 30
= 1.732 ft
Therefore, the area of each triangle = 0.5 × 1 ft × 1.732 ft × 2
= 1.732 ft²
Therefore, the area of a hexagon = 6 × 0.5 × 1 ft × 1.732 ft
= 10.392 ft²
Thus, the area of the hexagon is 10.39 ft²
Answer;
4 or more tubes or paint.
Step-by-step explanation:
54- 8.50x > 20
-54 -54
-8.50x > -34
now you have to divide by -8.50 on both sides to get x alone.
-8.50x/-8.50 > -34/-8.50
x=4
