Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = 
and tan60° = 
, then
sin60° = 
= 
= ( cross- multiply )
x = 4 ( divide both sides by )
x = 4
and
tan60° = 
= 
= ( multiply both sides by y )
y = 2 ( divide both sides by )
y = 2
Answer:
The value of x from the figure is 58 degrees
To get the value of x, we will use the formula:
The angle at the vertex = 1/2(difference of angles at the arc)
Angle at the vertex = 1/2(160 - x)
51 = 1/2(160 - x)
102 = 160 - x
x = 160 - 102
x = 58 degrees
Hence the value of x from the figure is 58 degrees
Answer:
9
Step-by-step explanation:
Compare your x2 + y2=81 to the following:
x^2 + y^2 = 81
The " ^ " symbol indicates exponentiation.
Now compare x^2 + y^2 = 81 to
x^2 + y^2 = r^2.
This is the standard equation of a circle of radius r centered at the origin, (0,0). You can see for yourself that 81 must equal r^2.
Taking the square root of 81, we get plus or minus 9.
But the radius must be positive, so we reject the -9 and take +9.
The radius is 9.
