How many of the first 10,000 positive integers contain the digit pair “43” in that order?
1 answer:
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Answer: The answer is: " 72 words per minute. "
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Step-by-step explanation:
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This is a "unit rate" problem.
We want to solve for/ find the number of words PER single minute.
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Given 48 words per (2/3) minute;
How many words per (one) minute?
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The answer is {48 ÷ (2/3) } words per minute:
Note: dividing by a number is the same as multiplying by the reciprocal (inverse) of that particular number:
Hence:
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The answer is {48 * (3/2) } words per minute:
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Write as:
" " ;
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The "48" can be changed to "24" ; and the "2" can be changed to "1" ;
→ {Since: "48 ÷ 2 = 24 "} ;
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And we have:
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" " ;
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The answer is: " 72 words per minute ."
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Hope this is helpful to you!
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<u>Given</u>:
Given that the radius of the circle is 2 inches.
We need to determine the area of the remaining square.
<u>Area of a square:</u>
Given that each circle has a radius of 2 inches.
Then, the diameter of each circle is 4 inches.
Hence, the side length of the square is 2 × 4 = 8 inches.
The area of the square is given by
Thus, the area of the square is 64 square inches.
<u>Area of the four circles:</u>
The area of one circle is given by
Substituting r = 2, we have;
Thus, the area of one circle is 4π in²
The area of 4 circles is 4 × 4π =16π in²
Hence, the area of the 4 circles is 16π in²
<u>Area of the remaining square:</u>
The area of the remaining square is given by
Area = Area of the square - Area of four circles.
Substituting the values, we get;
Thus, the area of the remaining square is (64 - 16π) in²
Hence, Option c is the correct answer.