Answer:
The area of the associated sector is 
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to
we have
substitute and solve for r
step 2
Find the area of the circle
we know that
The area of the circle is equal to
we have
substitute
step 3
Find the area of the associated sector
we know that
subtends the complete circle of area 
so
by proportion
Find the area of a sector with a central angle of 
So to to get 3% of 159 you: 159x0.03=4.77
Answer:
Mattie's perspective on her grandfather's strong-headed opinions gives readers an understanding of the influence he has on her. Mattie's perspective on the events of 1793 gives readers an understanding of the experiences and uneasiness of the time
Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
