Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
<u>Given variable</u>
θ = 270°
r = 7 mi
<u>Given formula</u>
A = (θ / 360) πr²
<u>Substitute values into the formula</u>
A = (270 / 360) π (7)²
<u>Simplify exponents</u>
A = (270 / 360) π 49
<u>Simplify by multiplication</u>
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
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Answer:
C) y=13+15x
Step-by-step explanation:
y=13+15x
b must be equal to -6 for infinitely many solutions for system of equations and
<u>Solution:
</u>
Need to calculate value of b so that given system of equations have an infinite number of solutions
Let us bring the equations in same form for sake of simplicity in comparison
Now we have two equations
Let us first see what is requirement for system of equations have an infinite number of solutions
If and are two equation
then the given system of equation has no infinitely many solutions.
In our case,
As for infinitely many solutions
Hence b must be equal to -6 for infinitely many solutions for system of equations and
(3x) + (x+60) = 180
4x + 60 = 180
Subtract 60 from both sides
4x = 120
Divide 4 from both sides
x = 30
80,000 per year....there are 12 months in a year
80,000 / 12 = 6666.67 per month