From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure
.
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
we substitute as follows and solve:
Answer: 8.4 cm
<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
The answer is d because the centroid stems from medians in a triangle
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
