The circumference of a circle can be calculated using the following equation;
circumference = 2πr
The radius of the given circle = 6 in.
The circumference of the circle = 2π *6
= 12π in.
circumference of a complete circle is when the central angle is 360°.
we are asked to find the length of an arc when the central angle is 45°.
the length when central angle is 360° = 12π
therefore when central angle is 45° = 12π /360 * 45
the length of the arc = 1.5π in.
Here is your answer
Both
a) /_D
c) /_ADB
are correct
REASON:
/_ADB represents an angle between AD and BD which is marked in the question.
/_D represents the point where the two lines or rays have a common point, i.e.D
[However writing a single letter to represent an angle is not completely correct. But when there is only one angle represented through the point then writing a single letter is correct
i.e. /_D is correct ]
HOPE IT IS USEFUL
Since all the terms have the same base you just deal with the exponents.
(X^2)(x^7)=x^9
X^9(x^-3)=x^9/x^3=x^6
Answer:
(9 x - 7 y) (9 x + 7 y)
Step-by-step explanation:
Factor the following:
81 x^2 - 49 y^2
Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.
81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:
(9 x)^2 - (7 y)^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):
Answer: (9 x - 7 y) (9 x + 7 y)
