Answer:
Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is .
The common difference is
The nth term of this arithmetic sequence is;
We substitute the values for the first term and the common difference to obtain;
The value of f(-6) is -12.2
Explanation:
Given that the function
We need to determine the value of f(-6)
The value of f(-6) can be determined by substituting the value for in the function and simplify the function.
Hence, let us substitute in the function, we get,
Let us apply the rule , we get,
Multiplying the numbers, we get,
The value of
Substituting the value of , we get,
Subtracting the denominator, we have,
Dividing, we have,
Rounding off to the nearest tenth, we have,
Thus, the value of f(-6) is -12.2
Answer:
2 square cm
Step-by-step explanation:
Given :
A square is inscribed in a circle whose radius is r = 1 cm
Therefore, the diameter of the circle is 2 r = 2 x 1
= 2 cm.
So the diagonal of the square is 2r.
Using the Pythagoras theorem, we find each of the side of the triangle is .
Therefore, the area of the square is given by
=
Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.