Answer:
a₂₁ = 638
Step-by-step explanation:
substitute n = 21 into the explicit formula
a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638
9514 1404 393
Answer:
13 cm, 39 cm, 39 cm
Step-by-step explanation:
If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:
x +3x +3x = 91
x = 91/7 = 13
3x = 3(13) = 39
The length of the short side is 13 cm; the other two sides are 39 cm.
Answer:
2/7 + 7/14 = 11/14
Step-by-step explanation:
7 x -2 = -14 Each seventh is going to be worth 2 fourteenths!
This means 2/7 = 4/14
4/14 + 7/14 = 11/14
Answer:
Each interior angle = 135 degrees,
Step-by-step explanation:
The exterior angles of all convex polygons add up to 360 degrees.
So for a regular octagon each exterior angle = 360 / 8
= 45 degrees.
Therefore each interior angle = 180 - 45 = 135 degrees,
Answer:
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, 
, where 
, 
, and 
are the three sides of the triangle and 
is the angle opposite to .
Let be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
Therefore, the shortest side of this triangle is 3.5.
