Answer:
15
Step-by-step explanation:
since it is a square all sides are equal.
60/4=15
Therefore the answer is 15
Answer:
P ( 3, - pi/3 + 2 pi n) or P ( -3 , -pi/3 + pi(2 n +1))
Step-by-step explanation:
P ( 3, - pi/3)
We can circle 2pi n around the circle and be back at the same polar coordinate
P ( 3, - pi/3 + 2 pi n)
or we can flip the radius to a negative and add pi to the theta
P ( -3, - pi/3 + pi)
Then we can circle 2pi n around the circle and be back at the same polar coordinate
P ( -3 , -pi/3 + 2 pi n +pi)
P ( -3 , -pi/3 + pi(2 n +1))
Answer:
B 480 in.³
Step-by-step explanation:
Volume of a rectangular prism is given by
V = l*w*h
V = 8*12*5
V =480 in ^3
Answer:
(x, y) ==> (-4, -3)
Step-by-step explanation:
-2(3x + y = -15) ==> -6x - 2y = 30
3x + 2y = -18
-6x - 2y = 30
3x + 2y = -18
-3x = 12
/-3 /-3
x = -4
Now, we solve for y:
-6x - 2y = 30
-6(-4) - 2y = 30
24 - 2y = 30
-24 -24
-2y = 6
/-2 /-3
y = -3
(x, y) ==> (-4, -3)
Hope this helps!
Answer:
Step-by-step explanation:
The first four terms of geometric series is:

Since, we have given information that the third number is greater than 44 that means:
Above equation can be rewritten as:

Now, using:

Here, a=r,b=1
(1)
The sum of first four terms is:



(2)
Divide equation (2) by (1) we get:







CASE1: When r=2 in 



CASE2:When r=3 in 




The series becomes:
From CASE1: 

From CASE2: 
