Answer:

Step-by-step explanation:
Slope intercept form:
when
is the slope of the line and
is the y-intercept (the y-coordinate of the point the line crosses the y-axis)
<u>1) Find the slope (</u>
<u>)</u>
when the points are
and 
We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

Simplify the fraction

So far, our equation looks like this:

<u>2) Find the y-intercept (</u>
<u>)</u>
The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.
Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore,
.
Now, this is our final equation after plugging in
and
:

I hope this helps!
By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.
Therefore the area of the isosceles triangle is
6•4/2=12
However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by
6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2
<em>Solve: </em>

Divide both sides by 2.

Take the sine inverse of both sides:



But we know there are more solutions if we extend the domain. In fact, there are infinitely more solutions since the domain of sine is all real x values.
Thus, we can develop a general solution:
For every

units, there is another solution for both

and

General solutions:

Answer:
1/256
Step-by-step explanation:


=> 1/256