The length of the fifth piece is 2 3/4 inches.
Given:
1st piece of wood = 1 1/2 inches
2nd piece of wood = 1 13/16 inches
3rd piece of wood = 2 1/8 inches
f(n) = 1st term + common difference(n-1)
To get the common difference, we need to deduct the fraction from its preceding fraction.
1st piece: 1 1/2 = (2*1 + 1)/2 = 3/2
2nd piece: 1 13/16 = (16*1+13)/16 = 29/16
3rd piece: 2 1/8 = (8*2+1)/8 = 17/8
29/16 - 3/2 = 29/16 - (3/2 * 8/8) = 29/16 - 24/16 = (29-24)/16 = 5/16
17/8 - 29/16 = (17/8 *2/2) - 29/16 = 34/16 - 29/16 = (34-29)/16 = 5/16
Find: 5th piece's measurement
1st term : 1 1/2 or 3/2
common difference : 5/16
f(5) = 3/2 + 5/16 (5-1)
= 3/2 + 5/16 (4)
= 3/2 + (5*4)/16
= 3/2 + 20/16
= (3/2 * 8/8) + 20/16
= 24/16 + 20/16
= (24 + 20)/16
f(5) = 44/16
f(5) = 2 12/16 simplified to 2 3/4 inches.
Answer:
C. 3 1/2 miles per hour
Step-by-step explanation:
I just converted the fractions to decimal form.
5/8 = 0.625 9 + 0.625 = 9.625
3/4 = 0.75 2 + 0.75 = 2.75
Now divide the 2 numbers:
9.625 / 2.75 = 3.5
Finally, convert the decimal back to a fraction:
3.5 = 3 1/2
Hope this helps!
Answer: 7/36
Step-by-step explanation:
ANSWER
The radius is 8
EXPLANATION
We were given,
We rewrite the above equation to obtain,
We now add half the square of the coefficient of
to both sides of the equation to get,
We now got two perfect squares on the left hand side of the equation,
By comparing to the general formula of the circle,
We can see that the radius is 8.