Answer:
Step-by-step explanation:
Before calculating the scale we require the dimensions to be in the same units.
Using the conversion
1 yard = 3 ft and
1 foot = 12 inches, then
5 yards = 5 × 3 × 12 = 180 inches
The scale is then
2 in : 180 in ← divide both quantities by 2
= 1 : 90
=
A) The side length is 5 units since 5*5*5 = 125. You can guess and check to see which value multiplies with itself three times to get 125. Or you can take the cube root of 125 to get 5. You can type in 125^(1/3) to indicate you want the cube root of 125
b) The volume is 64 cubic units. Multiply the side length 4 by itself three times: 4*4*4 = 64.
Answer: True
Step-by-step explanation: 64x8x10=51200 while 640x8x10=51200
Answer:
System of equations:
L = 5W + 7
2W + 2L = P
L = 62 cm
W = 11 cm
Step-by-step explanation:
Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.
The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:
2W + 2(5W + 7) = 146
Distribute: 2W + 10W + 14 = 146
Combine like terms: 12W + 14 = 146
Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132
Divide 12 by both sides: 12W/12 = 132/12 or W = 11
Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.
