The length of an arc is the fraction of its circumference based on the given intercepted angle. This is given by the equation,
L (arc) = (Angle / 360) x 2πr
Substituting the known values,
L (arc) = (40 / 360) x 2π(8 inch) = 16π/9 inch
Thus, the length of the arc is approximately equal to 5.585 inches.
Answer:
5x^2 + 20x = 5x(x + 4)
Step-by-step explanation:
Here, we want to factorize;
5x^2 + 20x
To do this, we start by writing the common factors
The common actor that we can see which is in the form of the gcf of both is 5x
Thus, the factorization will be;
5x^2 + 20x = 5x( x + 4)
Answer:
A 270° rotation about point B'
Step-by-step explanation:
Rotation is clockwise so you can see that the final transformation is a rotation 270° clockwise
Answer:
x = sqrt(32)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2
7^2 + x^2 = 9^2
49+x^2 = 81
Subtract 49 from each side
x^2 = 81-49
x^2 =32
Take the square root of each side
sqrt(x^2) = sqrt(32)
x = sqrt(32)
