Answer:
c but you have it so thanks
Step-by-step explanation:
Step-by-step explanation:
first do prime factorization of 324= 2×2×3×3×3×3
= 2 square, 3 square,3 square
therefore 324 is a perfect square
Now,
prime factorization of 588=2×2×3×7×7
= 2 square,7 square ,3
therefore 588 is not a perfect square
The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.
<h3 /><h3>What is law of detachment?</h3>
Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.
For instance,
Statement A: If there's an increase in Mr Charles salary.
Statement B: Mr Charles buys bicycle for his son.
This means Mr Charles buying bicycle for his son is true because of the increase in income.
Learn more about law of detachment:
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Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³