Answer:
7.28 miles
Step-by-step explanation:
Suppose the distance at closest approach is represented by x. Then the distance to the point of closest approach at the first sighting is ...
d1 = x·tan(62°)
At the second sighting, the distance to the point of closest approach is ...
d2 = x·tan(38°)
The difference of these distances is 8 miles, so we have ...
d1 -d2 = 8 = x(tan(62°) -tan(38°))
Dividing by the coefficient of x, we find ...
x = 8/(tan(62°) -tan(38°)) ≈ 7.2764 . . . . miles
The point of closest approach is about 7.28 miles from the landmark.
Answer:
C. The same number of guests attended Rick and Tom's party.
Step-by-step explanation:
Let R and T represent the number of guests at Rick's and Tom's parties, respectively. The charges Rick and Tom paid are equal, so we have ...
65 +25R = 40+25+25T
25R = 25T . . . . . . . . . . . . subtract 65
R = T . . . . . . . . . . . . . . . . . divide by 25
The number of guests at each party is the same.
The Y would be the $15 pizza and x would be the amount of toppings someone would get.
Answer:
The area is 3.14
Step-by-step explanation:
Area of a circle is pi(radius)^2
Answer:
x = $34.45
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

We are to determine the profit maximizing selling price ( x )
From the properties of a parabola equation of the form:

The vertex ( turning point ) or maximum/minimum point is given as:

The profit maximizing selling price of widgets would be x = $34.45.