There is no sum for this geometric series. it diverges rather than converges due to the absolute value of the common ratio (r), which is -3, being 3. for a geometric series to have a sum (to converge), the absolute value of r must be less than 1.
(you find r by dividing a2/a1, a3/a2, etc.)
hope this helps
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
Answer:
-7.8
Step-by-step explanation:
im not sure if this is correct so don't rely on this if it is a test....
Answer:
D. x=6
Step-by-step explanation:
-3x + 5= -2x -1
more variables to left hand side and change its sign
-3x+2x+5=-1
move constant to right hand side and change its sign
-3x+2x=-1-5
collect like terms
-x=-1-5
calculate the difference
-x=-6
change the signs on both sides of the equation
x=6
Answer:
14.5 =x
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opposite side/ hypotenuse
sin A = BC / AB
sin 65 = x /16
Multiply each side by 16
16 sin 65 =x
14.50092459 =x
14.5 =x
