Answer:
35 cm
Step-by-step explanation:
You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.
a² = b² + c² - 2bc cos A
a² = (36²) + (52²) - 2(36)(52) cos 42°
a² = (1296) + (2704) - (3744)(0.7431448255)
a² = (4000) - (2782)
a² = 1218
a = ✓1218
a = 34.9 cm
Equation for company a: y=20x+8
Equation for company b: y=24x+4
Company A would be cheaper for 5 loads of laundry, because it is $108 dollars opposed to $124 which is what company b would charge for 5 loads.
$32 dollars is saved by using the services of company A instead of company B to clean 9 loads of laundry.
Among all students, sports is, by far, the most popular activity and watching TV is the least popular.
Denote the circle of radius
by
.
is simple and closed, so by Green's theorem the line integral reduces to a double integral over the interior of
(call it
):



is a circle of radius
, so we can write the double integral in polar coordinates as

a. For
, we have

b. Let
denote the integral with unknown parameter
,

By the fundamental theorem of calculus,

has critical points when

If
, then line integral is 0, so we ignore that critical point. For the other two, we would find
.