Answer:
The area of the sector is 
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians

Answer: charlene:52, aaron:44
Step-by-step explanation:
Add 8 to aarons age and you find your answer
Option #1:

f(4), this means that x = 4
To find f(4), substitute/plug in 4 into "x" in the function:
Plug in 4 into "x" since x = 4


f(4) = 2
Option #2:

f(4), this means that x = 4
To find f(4), substitute/plug in 4 into "x" in the function:

To combine fractions, they need to have the same denominator. Multiply -3 by
so that they have the same denominator.

Combine the fractions
Simplify the fraction

Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠A ∠B = 90 ← substitute values
5x - 27 + 4x - 27 = 90, that is
9x - 54 = 90 ( add 54 to both sides )
9x = 144 ( divide both sides by 9 )
x = 16
Hence
∠A = 5x - 27 = (5 × 16) - 27 = 80 - 27 = 53°
∠B = 4x - 27 = (4 × 16) - 27 = 64 - 27 = 37°
Answer:
6(x - 1)(3x + 1)
Step-by-step explanation:
Given
18x² - 12x - 6 ← factor out 6 from each term
= 6(3x² - 2x - 1) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 1 = - 3 and sum = - 2
The factors are - 3 and + 1
Use these factors to split the x- term
3x² - 3x + x - 1 ( factor the first/second and third/fourth terms )
= 3x(x - 1) + 1(x - 1) ← factor out (x - 1)
= (x - 1)(3x + 1)
Hence
18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form