One factor of 12 is 2. The other factors of 12 are 3, 4, and 6.
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
Answer:
9 pieces
Step-by-step explanation:
28 inches rope cut into 3-inch pieces
There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces
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<u>Note:</u>
- The close answer choice is 8
- 28/8 = 3 1/2 or 3.5
- So if cut into 3.5 inch pieces then it is 8 full pieces
- just in case it was typo 3 instead of 3.5
Answer: 410 square km
Step-by-step explanation:
The area of each of the triangles with their base on the 10 km side is , so their combined area is .
The area of each of the triangles with their base on the 12 km side is , so their combined area is .
The area of the bottom rectangular face is .
So, the total surface area is
Let x be the number of running plays
Y be the number of
passing plays
Since the total plays is 110
X + y = 110
And total yard is 378
3x + 7y = 378
Using the first equation
X = 110 – y and substitute to the 2nd equation
3(110 – y) + 7y = 378
And solve for y
Y = 12
Substitute to eqution 1
X = 110 – 12 = 98