Answer: Its cube is six times the
cube of the given number.
Step-by-step explanation:
Let's assume we have a number which is 2. The cube will be:
= 2³
= 2 × 2 × 2
= 8
Let's now assume, we double the number 2, we'll have 2 × 2 = 4. Therefore, the cube will be:
= 4³
= 4 × 4 × 4
= 64
Therefore, from the explanation above, 2 raise to power 6 is 64. This means, if a number is doubled, then its cube is six times the cube of the given number.
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Answer:
<h2>length = 95 yards</h2><h2>width = 51 yards</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 292 yards
The statement
The length of the field is 7 yards less than double the width is written as
l = 2w - 7
Substitute the expression into the above formula and solve for the width
292 = 2( 2w - 7) + 2w
292 = 4w - 14 + 2w
292 = 6w - 14
6w = 292 + 14
6w = 306
Divide both sides by 6
w = 51
Substitute this value into l = 2w - 7
That's
l = 2(51) - 7
l = 102 - 7
l = 95
Therefore we have
length = 95 yards
width = 51 yards
Hope this helps you
