38.25/45=85
To double check: .85x45=38.25
I think you are correct on number 1?
Answer:
c no is right answer ..................
Answer:
z=20.8
x=16.97
y=12
Step-by-step explanation:
The triangle on the right is a 30,60,90 triangle, a special right triangle with simple rules to find the side lengths. sides A,B, and C where C is the hypotenuse (24 in your diagram). The short side A is= 1/2 of side C (12 in your diagram). The long side B is= side A*√3 (20.8 in your diagram).
The triangle on the left is another special right triangle called a 45,45,90. The rules for this triangle are C= A*√2, and B=A. Because of the rules in the 30,60,90 triangle, we know that side A is 12. This means that side B (y)=12. Side C (x)= 16.97.
Hope this helped! Sorry if my explanation is confusing, but the rules for special right triangles can be easily found online and then calculated :)
The circle's equation tells us that it is centered at the origin and that the radius is the square root of 5, which in numbers is 2.23 rounded. That means that any points within that radius are inside the circle and any points outside that radius are outside the circle, which tells us our answers to A and C. A is well within the radius at (-1,1) and C is way outside at (4, -8). Now let's look at B. We have our equation and we also have a radius squared of 5, so let's fit the x and the y values of the point (-2, 1) into that equation and see if what we get is equal to the radius squared that they give us.
If
then
should = 5. It does, so that coordinate for B lies directly on the circle.