For a Geometric sequence:
a n = a ( n-1 ) * r
In this case: a 1 = 30
a 2 = 30 * 1/2 = 15
a 3 = 15 * 1/2 = 7.5
a 4 = 7.5 * 1/2 = 3.75 = 3 3/4
Answer: The value of the fourth term is 3.75 or 3 3/4.
Answer:
The radius of the circle is 
The length of the square is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to 
The perimeter of the square is equal to 
so

Simplify

-----> equation A
The area of a circle is equal to 
The area of a square is 
The total area is equal to
-----> equation B
substitute equation A in equation B
![At=\pi r^{2}+[(12-\pi r)/2]^{2}](https://tex.z-dn.net/?f=At%3D%5Cpi%20r%5E%7B2%7D%2B%5B%2812-%5Cpi%20r%29%2F2%5D%5E%7B2%7D)
This is a vertical parabola open upward
The vertex is the minimum
The x-coordinate of the vertex is the radius of the circle that produce a minimum area
The y-coordinate of the vertex is the minimum area
Solve by graphing
The vertex is the point (1.68, 20.164)
see the attached figure
therefore
The radius of the circle is

Find the value of x

assume



Since the angle is a straight line 180 degrees then 180-134=46
X=46 degrees
Answer:
cool
Step-by-step explanation:
like the picture good job
1) A parallel line has the same slope as this one y=-2x+5 whose slope is -2
So to find out which parallel line to y=-2x+5contains