Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer: 105°
because 180-41-34=105
Answer:
5, 6
Step-by-step explanation :
Answer:
$205.73
Step-by-step explanation:
First we find the square area,
multiply 10 by 4.5 and we get 45
we convert feet to meters by dividing it by 3.281
45/3.281=13.71533
we the multiply 13.71533 by 15 to get the total price
we get 205.72996 and round it to 205.72
Out of your $67 for the day, $40 of it goes to the rental before you even drive it out of the lot. That leaves you $27 a day for mileage.
$27 / $0.18 per mile = <u>150 miles</u> per day, tops.