Where 
is the degree measure for the arc of a sector of a circle, the ratio of the area of the sector to that of the area of the circle is given by 
. Use this ratio to explain whythe area of the sector is given by 
.[Note: In the figure, the sector with arc measure 
is bounded by radii 
, 
, and 
.]
What will be an ideal response?
, it follows that 
. Where r is the length of radius of the circle, the area of the circle is given by 
. By substitution, it follows that
.
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Find the equation of the line tangent or normal (as indicated) to the given curve with the given slope.y = (4x - 7)3, normal line with slope - 
, x > 0
A. 12x - y - 14 = 0 B. x + 12y - 14 = 0 C. x - 12y - 14 = 0 D. 12x + y - 14 = 0
Graph the line whose equation is given.y = 
x - 3
A. 
B. 
C. 
D. 
Solve.Margaret takes out a loan to buy a fixer-upper house. She then spends $3046 in repairs and improvements. She sells the house for $89,210. If the payoff amount for the loan that she took out to buy the house is $74,656, what is her net? Is it a profit or loss?
A. $17,600; profit B. $11,508; profit C. -$17,600; loss D. $166,912; profit
Solve the triangle.
A. B = 60°, a = 6.04, c = 8.42 B. B = 50°, a = 8.42, c = 6.04 C. B = 55°, a = 8.42, c = 6.04 D. B = 55°, a = 6.04, c = 8.42