Answer:
The center of the circle is midpoint of the diameter:
The radius is equal the distance between C and Q:
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = √65; (-3; 2) ⇒ a = -3 and b = 2
subtitute
(x - (-3))² + (y - 2)² = (√65)²
Answer:
the center: (-3; 2)
the radius: √65
the equation of the circle: (x + 3)² + (y - 2)² = 65
Answer:
31 is prime. and it’s prime factorization is just 31....
Step-by-step explanation:
Alright assuming they mean total surface area since they didn't say lateral the equation to follow would be S= Ph + 2B
Start with P:
P stands for perimeter, so add up all the edges on one face of the cube.

Then your equation becomes
S= 68×h + 2B
h=height and that's obviously 17
so, S= 68×17 +2B
Now to find B. This is pretty easy. All you need to do is take 17×17 because you're finding the area of the base. This equals 289.
Finally this leaves us with the equation
S= 68×17+2×289
From there on you just solve it out.
This would leave you with 1734.
Answer:
20 passengers at $960 each
Step-by-step explanation:
Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht.
(a) Find a function R giving the revenue per day realized from the charter.
R(x) =
(b) What is the revenue per day if 48 people sign up for the cruise?
$
(c) What is the revenue per day if 78 people sign up for the cruise?
$
revenue (R) = (20+x)(960-8x)
= 19200 - 160x + 960x -8 x^2
dR/dx = -160 + 960 - 16x = 0 for a max of R
16x = 800
x = 50
Answer: 40º
Step-by-step explanation:
To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.
The trigonometric function that relates opposite and adjacent sides is tangent.


