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m∠FAN = 80°

Step-by-step explanation:

Area of a sector is given by the expression,

Area of the sector =

Here, θ = central angle subtended by the arc

r = Radius of the circle

By substituting the values from the question,

288π =

θ =

θ = 80°

Therefore, m∠FAN = 80° will be the answer.

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form