Answer:
C = 144.4 yds
Step-by-step explanation:
C = 2πr Use the equation of circumference and substitute the given radius
C = 2(3.14)(23) Multiply
C = 144.4 yds
1) c) y = 500 * 2^x
In year 1, x = 1 and the population is 500 * 2^1 = 1000
In year 2, this doubles to 500 * 2^2 = 500 * 4 = 2000
ans so on
This model describes the population doubling every year
2)
A) 3 (1/2)^x and C) (0.25)^x
These numbers reduce as x increases because there is a number with an absolute value less than 1 is being raised to the power of x. They also will never totally reach zero or become negative, but will approach zero as x becomes very large.
2x+5=x-8
-x on both sides
x+5=8
-5 on both sides
x=-13
Answer:
#5
Area = Area of bigger triangle - Area of small triangle

#8
Area = area of square + area of two right angled triangles

Answer:

Step by step
Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.
a)
, then its reference angle is 
b)
is in the second cuadrant, then its reference angle is 
c)
, then it is in the first cuadrant and the reference angle is
.
d)
and it is in the third cuadrant, then its reference angle is 