Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
<u>Part A</u>
<u>Intersecting Secant-Tangent Theorem</u>
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:
Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:
900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
<u>Part B</u>
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000
Answer:
k = 2
Step-by-step explanation:
5k = 6k + 4 - 6
We can simplify this by solving 4 - 6 (replacing it with -2 !)
5k = 6k - 2
Now we can subtract 5k from both sides.
0 = k - 2
Finally, we can add 2 to both sides. This gets rid of the negative 2 on the right.
2 = k
Just reversing it...
k = 2
Answer: k = 2
Answer:
Step-by-step explanation:
We can write the equation using the point and the slope .
Formula we need to use is the point slope formula
Which is given by
Y-y1= m(X-x1)
Here given that (x1,y1)=(1,-1) and m = -3
x1= 1
y1 = -1
so equation is
Y-(-1) = -3 (x-1)
Distribute the slope
y+1 = -3x+3
y= -3x+3-1
y = -3x + 2
So the equation is
y =-3x +2
Answer:
Step-by-step explanation:
The formula for arc length is:
Where Θ is measured in degrees.
We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:
Divide both sides by 2π:
Simplify the fraction:
Multiply both sides by 9/2:
So, the radius is 18.
Now, we can find the area of the circle. The formula for the area of a circle is:
Substitute 18 into r:
Simplify:
And we're done!
Answer:b
Step-by-step explanation: pi is irrational so if you add it to something that becomes irrational
