The diameter is 8cm your welcome
Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
Answer:
1. 115; obtuse
2. 130; obtuse
3. 50; acute
4. 108; obtuse
Step-by-step explanation:
a. The general equation for a circle centered at
with radius
is

The described circle has equation

We know the circle passes through the origin. This means that the equation above holds for
and
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine
:

So the circle's equation is

b. If the distance between point B and the center is less than
, then B lies inside the circle. If the distance is greater than
, it falls outside the circle. Otherwise, if the distance is exactly
, then B lies on the circle.
The distance from B to the center is

, so
, which means B falls outside the circle.