Answer:
80°
Step-by-step explanation:
is central angle and arc BC is the corresponding arc.

Using the vertex of the quadratic equation, it is found that the maximum profit she can earn is of $106.
<h3>
What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:


Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, her profit is modeled by:

Which is a quadratic equation with coefficients a = -1, b = 14, c = 57, hence, her maximum profit in dollars is given by:

More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
Answer:
201.06
Step-by-step explanation:
A=4πr2 is the equation (r being radius)
4·π·(4)2≈201.06193
Step-by-step explanation:
P(-1,1), Q(2,3), R(2,1)
Let P(-1,1)be x1and y1
Q(2,3)be x2 and y2
therefore, by distance formula
d(PQ)= root (x2-x1)^2+(y2-y1)^2
= root[ 2-(-1)] + (3-1)
=root (2+1)^2+2^2
= root (3square +2square )
= root 9+4
d( PQ) = root 13.........(1)
Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle
2nd also do the same.