Convert 2.4 kg into cg. Please show your work.
1 answer:
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Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts , thus
81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio
2 parts = 2 × 27 = 54 cm²
Area of A = 54 cm² and area of B = 27 cm²
The side of the original square = = 9 cm
The width of both rectangles is 9 cm ( width remains unchanged after cut )
Thus
Rectangle A
9 × length = 54 ( divide both sides by 9 )
length = 6 cm
Rectangle B
9 × length = 27 ( divide both sides by 9 )
length = 3 cm
Rectangle A → length = 6 cm, width = 9 cm
Rectangle B → length = 3 cm , width = 9 cm
Answer:
Only the second and third statements are correct:
Doubling <em>r</em> quadruples the volume.
Doubling <em>h</em> doubles the volume.
Step-by-step explanation:
The volume of a cylinder is given by:
We can go through each statement and examine its validity.
Statement 1)
If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:
So, compared to the old volume, the new volume is quadrupled the original volume.
Statement 1 is not correct.
Statement 2)
Using the previous reasonsing, Statement 2 is correct.
Statement 3)
If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:
So, compared to the old volume, the new volume has been doubled.
Statement 3 is correct.
Statement 4)
Statement 4 is not correct using the previous reasonsing.
Statement 5)
Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:
So, compared to the old volume, the new volume is increased by eight-fold.
Statement 5 is not correct.