Answer:
(a) 34.
(b) Yes.
Step-by-step explanation:
The first term is 3(1)^2 + 1 = 4 ( where k = 1).
The sum of 2 terms = 3(2)^2 + 2 = 14.
The sum of 3 terms = 3(3)^2 + 3 = 30.
The sum of 4 terms = 3(4)^2 + 4 = 52.
So the first 4 terms are 4, 10, 16 and 22 . - increasing by 6.
The common difference is 6 so it is an arithmetic sequence.
The 6th term = a1 + d(n - 1)
= 4 + 6(6-1)
= 34.
Answer:
Option D
Step-by-step explanation:
x is given to be 4 in this case, so all we would have to is plug it into the following function -
Through substitution, you would receive the following function -
Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π =
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × × (3.5)²
48 = Ф/360 × ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
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