Answer:
The coefficient of the 2nd term of trinomial is 18.
Step-by-step explanation:
You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :
(3x+3)² = (3x)² + 2(3x)(3) + 3²
= 9a² + 18a + 9
OR
You can expand it by doing step by step :
(3x+3)² = (3x+3)(3x+3)
= 3x(3x) + 3x(3) + 3(3x) + 3(3)
= 9x² + 9x + 9x + 9
= 9x² + 18x + 9
<h3>
Answer: 35 inches</h3>
Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.
New perimeter = (scale factor)*(old perimeter)
New perimeter = (5/3)*(old perimeter)
New Perimeter = (5/3)*(21)
New Perimeter = (5/3)*(21/1)
New Perimeter = (5*21)/(3*1)
New Perimeter = 105/3
New Perimeter = 35 inches
Answer:
Step-by-step explanation:
10 x 3 = $30
10 x 4 = $12
$30 + $12 = $42 in think thats the answer i havent been to school in a while
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
