The standard equation of a circle is expressed as
(x - h)^2 + (y - k)^2 = r^2
where
h is the x coordinate of the center of the circle
k is the y coordinate of the center of the circle
r is the radius of the circle(the distance from the center of the circle to the circumference
From the graph,
h = - 1
y = 4
r = 5
By substituting these values into the equation, we have
(x - - 1)^2 + (y - 4)^2 = 5^2
(x + 1)^2 + (y - 4)^2 = 25
Thus, the equation of the circle is
(x + 1)^2 + (y - 4)^2 = 25
18). 16:80 is the ratio but in simplest form is; 5:0
19). 36:54 is the ratio but in simplest form is; 2:3
20). 12:24 is the ratio but in simplest form is; 1:2
hope that helps:D
Answer:
The positive angle that less than 360° and is conterminal with -289° is 71°
Step-by-step explanation:
- When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
- When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
- To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°
Let us solve the question
∵ The measure of the angle is -289°
→ Add its measure by 360° to find the positive angle that is conterminal
with it
∵ The measure of the positive angle = -289° + 360°
∴ The measure of the positive angle = 71°
The positive angle that less than 360° and is conterminal with -289° is 71°
Answer:
$0.51
Step-by-step explanation:
Hello! Using what we know, the price of the candy bar at the moment is $1.53, triple the price from 10 years ago. So, triple cents would technically be $0.03. We divide $1.53 and $0.03 and get 51! But, it would not make sense for the price ten years ago to be 51 then go to 1.53, so we make 51 a decimal, 0.51. We can check to see if this correct, by doing 0.51 times 3, because the price is tripling, and we get $1.53! Have an awesome day! :)
The answer is 10/3. Because you have 3 wholes and 1/3 so, 3x3 is 9 and you still have the extra 1 so 9+1=10 therefore your answer would be 10/3
