Answer:
x = 2
Step-by-step explanation:
Start by combining like terms.
Collecting x terms onto the left side results in 8x;
collecting constants onto the right side results in 16.
Therefore, 8x = 16, and x = 2
Answer:
x = -2
Step-by-step explanation:
The tangent line has length "x + 8"
The secant line has length "x + 6 + 5", where
5 is the inner part
x + 6 is the outer part
Now,
the secant-tangent theorem tells us that square of the tangent line is equal to the outer segment of secant line multiplied by length of whole secant line.
So, we can say:

We can solve for x shown below:

The value of x is -2
Answer:
9......
Step-by-step explanation:
A right-angled triangle in the image below will be formed.
Now, we will make use of the trigonometric rule......
But before that, how do know the perfect rule to apply so as to solve the problem?
#. The side facing the angle 65 deg. is called the Opposite side
#. The side facing the angle 90 deg. is called the Hypotenuse
#. While the last side is called the Adjacent
Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule
Sine(θ)=Opposite/Hypotenuse
Therefore,
Sine 64 = Opposite/10
Opposite = 10 x sine64
Opposite = 10 x 0.9
Opposite = 9cm
Answer:
31,250 ft²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...
... A = x(500-x)/2
This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.
The maximum size pen has area ...
... A = 250(500 -250)/2 = 31,250 . . . . sq ft