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:
15 days. 5 divided by 1/3 is 15
The product of all integers from 1 to 100 is 100!. The formula actually counts the number of factors 5 in n!, but since there are at least as many factors 2, this is equivalent to the number of factors 10, each of which gives one more trailing zero.May 15, 2020
Answer:
The lateral surface area of a cuboid is 180 units² .
Option (c) is correct.
Step-by-step explanation:
Formula
Lateral surface area of a cuboid = 2hl + 2hb
Where h is the height , l is the length and b is the breadth.
As shown in the figure.
Length = 4 units
Breadth = 5 units
Height = 10 units
Put in the formula
Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5
= 80 + 100
= 180 units ²
Therefore the lateral area of the cuboid is 180 units² .
Option (c) is correct.
