1. By definition, the chord of a circle is a segment that joins the two points of an arch and if it passes through the center of the circle, is called "diameter". There is a formula that you can use to find the chord lenght. This is:
Chord lenght=2rSin(A/2)
2. Let's convert the angle from degrees to radians:
75°π/180°=5π/12
3. So, you have:
r: It is the radius of the circle (r=100 feet).
Sin: It is the sine function.
A: It is the angle subtended at the center by the chord (A=5π/12).
4. When you substitute these values into the formula (Chord lenght=2rSin(A/2)), you obtain the chord lenght:
Chord lenght=2rSin(A/2)
Chord lenght=2(200 feet)(Sin(5π/12/2))
5. Therefore lenght of the chord is:
Chord lenght=18.2706 feet
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
Answer:
The square root of -9 cannot be -3 because -3 squared or -3 times -3 equals 9 not -9.
Hope this helps!
Answer:
3 inches
Step-by-step explanation:
To model this situation, we are going to use the exponential function:

where

is the initial number of cars

is the growing rate in decimal form

is number of tames the growing rate is increasing per year

is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%


Since the growing rate is increasing quarterly,

. We also know that the initial number of cars is 920, so

. Lets replace all those values in our function:



We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03