Determine the approximate value of x A. 18.85 B. 7.36 C. 8.69 D. 20.47
1 answer:
Answer:
The answer to your question is x = 8.69 cm
Step-by-step explanation:
From the image we can conclude that this is a right triangle, so we must use trigonometric functions to solve it.
Data
hypotenuse = x = ?
Adjacent side = 8 cm
Ф = 23°
Process
1.- We must use the trigonometric function cosine to solve this problem.
Cos Ф =
2.- Solve it for hypotenuse
hypotenuse x cos Ф = Adjacent side
hypotenuse = Adjacent side / cos Ф
3.- Substitution
hypotenuse = 8 / cos 23°
3.- Simplify and result
hypotenuse = 8 / 0.9205
hypotenuse = x = 8.69 cm
You might be interested in
To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form 
it vertex 
is given by 
, 
.
We can infet from our parabola that
and 
. So lets replace those values in our formula:
The vertex of our parabola is 
Now to find our second point, we are going to evaluate our parabola at
Our second point is
We can conclude that we can graph the parabola
using its vertex and the point as follows:
We can infet from our parabola that
The vertex
Now to find our second point, we are going to evaluate our parabola at
Our second point is
We can conclude that we can graph the parabola