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) 256 in.²
Step-by-step explanation:
{a}^{2} + 2a \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\ \\ {8}^{2} + 2(8) \sqrt{ \frac{{8}^{2}}{4} + {12}^{2}} = 64 + 64\sqrt{10}\\ \\ 64\sqrt{10} ≈ 266,3857703 ≈ 256
I am joyous to assist you anytime.
Answer:
c+d
Step-by-step explanation:
c as the liters of water in the bucket, and d as the liters of water the jar more.
Together, you have to use addition to answer the question.
Note:
Pls, notify me if my answer is incorrect for the other users that will see this response. Thank you. Have a wonderful rest of your day!
<em>-kiniwih426</em>
So you first write the numbers into an equation:
(3x + 2) = 47
(You can remove the parentheses if you'd like.)
So first off, you'd want to isolate 'x' since that's what you're trying to figure out. In order to do that, you must subtract 2 from both sides.
This means you would do: 2 - 2 (which cancels out)
and then you would do 47 - 2, which equals 45.
After that, you should have 3x = 45
Now, divide 3 from both sides.
3x ÷ 3 (cancels out)
45 ÷ 3, which equals 15.
So you're answer is 15.
x = 15