Answer:
168
Step-by-step explanation:
<u>Answer:</u>
The correct answer option is: 19, 13, 3, -11, -29.
<u>Step-by-step explanation:</u>
We are given the following explicit formula for an arithmetic sequence:

So to find the first five terms of this sequence, we will substitute the values of
(num here in the given formula:





Therefore, the first five terms of the sequence defined by the explicit formula
are 19, 13, 3, -11, -29.
Answer:
Gradient = 2
Step-by-step explanation:
Gradient of a line = Slope of the line
Since, slope of a line passing through two points
and
is given by,
Slope = 
Given line in the graph passes through two points (1, 0) and (2, 2)
Therefore, slope or gradient of the line = 
= 2
Gradient = 2 will be the answer.
Answer:
Width = 2 feet
Length = 6 feet
Explanation:
Variables:
Perimeter = p
Length = l
Width = w
Equation:
2w + 2l = p
It is given that:
l = 3w
and
p = 16 feet
With this information, we can rewrite the equation (substitute)
2w + 2(3w) = 16
Simplify
2w + 6w = 16
Add
8w = 16
Divide both sides of the equation by 8
Width = 2 feet
Length = 3(w) = 3(2) = 6 feet
Hope this helps :)
Answer:
a cone with a base circumference of about 126 mm
Step-by-step explanation:
Rotating a triangle about a line results in a cone created by the rotation. This is because the segment at the bottom forms a circle, and the point at the top stays there; the three-dimensional figure with a circular base and a point at the top is a cone.
Since we rotate the segments about a line, this makes the length of the base the radius of the circle. This means the circumference would be
C = 2πr = 2(3.14)(20) = 125.6 ≈ 126 mm