Step-by-step answer:
The general form of an equation centered at O(0,0) is given by
x^2+y^2=r^2
where r is the radius, (x,y) is any point on the circumference.
If B(4,5) lies on the circumference, then we can find the radius of the circle by substitution:
4^2+5^2=r^2
=>
r^2 = 16+26 =41
Hence the equation of a circle centred at O(0,0) and B(4,5) on its circumference is
x^2 + y^2 = 41
10:4 is the ratio you're looking for.
Answer:
A. 42, 120, 162
Step-by-step explanation:
27 x 6 = 162
or
42 + 120 = 162
Answer:
9/2 or 4 1/2
Step-by-step explanation:
you do 1 1/2 times 3
3/2 times 3 equals
Answer: 20 feet.
Step-by-step explanation:
Observe the right triangle attached.
You need to find the value of "x".
Then, you can use the Pythagorean Theorem:

Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.
In this case, you can identify that:

Substitute these values into
:

Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:


