The entire circle has a central angle of 360°.
Because the radius is 6 mi, the area of the circle is
π(6)² = 36π mi².

The sector has a central angle of 60°, therefore it occupies 60/360 = 1/6 of the area of the circle.
The area of the sector is
(1/6)*36π = 6π mi² = 18.85 mi²

Answer: 6π mi² or 18.85 mi².

8 0

2 years ago

PLEASE HELP ME FAST!! ( It's about y-intercept)

Alex_Xolod [135]

Answer:

y = 10x + 8

Step-by-step explanation:

1. The slope-intercept form of an equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Since we're given the value of slope and y-intercept, we just have to plug in those values to it's corresponding variable.

10 = m, and 8 = b.
y = 10x + 8

6 0

1 year ago

Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).

Aleksandr [31]

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>

$x^2-12x-45\\$

The factors of $x^2-12x-45\\$ .

<h3 /><h3>Solution</h3>

$x^2-12x-45\\$

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

$x^2-15x+3x-45\\$