Answer:
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Step-by-step explanation:
A 42-inch piece of steel is cut into 3 pieces
Let the lengths be represented as:
1st piece = Piece A
2nd piece = Piece B
Third Piece = Piece C
Hence:
A + B + C = 42
The 2nd piece is twice as long as the 1st piece
B = 2A
The 3rd piece is 2 inches more than 5 times the length of the first piece.
C = 5A + 2
Hence: we substitute
A + B + C = 42 inches
A + 2A + 5A + 2 = 42 inches
8A = 42 - 2
8A = 40 inches
A = 40 inches/8
A = 5 inches
Solving for B
B = 2A
B = 2 × 5 inches
B = 10 inches
Solving for C
C = 5A + 2
C = 5 × 5 + 2
C = 25 + 2
C = 27 inches
Therefore, the lengths of the 3 pieces =
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Answer:
D
Step-by-step explanation:
The circle is filled in and the numbers are going lower so x is less than or equal to 7. I hope this helps and have a great day!
Answer:
36
Step-by-step explanation:
f(x)=x^2+2x+1
Let x = -7
f(-7)=(-7)^2+2*-7+1
= 49 -14+1
= 36
Answer:
24.4 feet
Explanation:
Let x be the length of the wooden board as shown in the diagram.
Using trigonometry ratio, we can write
cross multiplying we get:
Diving through by 0.819, we obtain
To the nearest tenth, x=24.4 feet.
Answer:
2250 grams
Step-by-step explanation:
Multiply the mass value by 1000.
