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2 answers:
Answer: 14.14 ft²
Step-by-step explanation: To calculate the area of a semicircle, use this formula:
The radius for this circle is 3 because the diameter of this desk is 6. The radius is half of the diameter. Now, use the formula with the radius.
The question asks you to round to the nearest hundredth place, so the final answer you get is 14.14 ft².
Hope this helped! ;)
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Answer: 210
Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.
So 30 is 10 · 3 and 10 is 5 · 2.
35 is 7 · 5.
Notice that our 5's match up as factors of each of our integers.
When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,
we only multiply by a 5 once.
So our least common multiple or LCM is
5 · the 2 that doesn't match up · the 3 that
doesn't match up · the 7 that doesn't match up.
So we have 5 · 2 · 3 · 7 or 210.
Work is shown below.
The correct answer is B) 
.
The denominator of the exponent is the root we are taking. The numerator is the exponent of the radicand. This means 3 will be the denominator, since it is a cubed root, and 2 will be the numerator of m while 5 will be the numerator of n.
The denominator of the exponent is the root we are taking. The numerator is the exponent of the radicand. This means 3 will be the denominator, since it is a cubed root, and 2 will be the numerator of m while 5 will be the numerator of n.