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Tamiku [17]
3 years ago
12

Round to the nearest cent. 5. $406.439

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

Answer:

406.4

Step-by-step explanation:

When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.

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Step-by-step explanation:

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Please HELP! I DON'T KNOW HOW CAN I SOLVE THIS ​
Wewaii [24]

Answer:

<h2>41. x = √2</h2><h2>42. x = √5</h2><h2>43. x = 4</h2><h2>44. x = 4√3</h2>

Step-by-step explanation:

The Pythagorean Theorem:

leg^2+leg^2=hypotenuse^2\to a^2+b^2=c^2

41.\\\\a=1,\ b=1,\ c=x\\\\x^2=1^2+1^2\\\\x^2=1+1\\\\x^2=2\to x=\sqrt2

42.\\a=1, b=2,\ c=x\\\\x^2=1^2+2^2\\\\x^2=1+4\\\\x^2=5\to x=\sqrt5

43.\\a=3,\ b=x,\ c=5\\\\3^2+x^2=5^2\\\\9+x^2=25\qquad\text{subtract 9 from both sides}\\\\x^2=16\to x=\sqrt{16}\to x=4

44.\\\\a=4,\ b=x,\ c=8\\\\4^2+x^2=8^2\\\\16+x^2=64\qquad\text{subtract 16 from both sides}\\\\x^2=48\to x=\sqrt{48}\\\\x=\sqrt{16\cdot3}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt{16}\cdot\sqrt3\\\\x=4\sqrt3

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3 years ago
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lord [1]
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Answer:

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3 0
3 years ago
9 / 3/4 into a improper fraction
sleet_krkn [62]

Answer:

39/4

Step-by-step explanation:

Step 1 - Setup

First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:

9

   3  

   4  

Step 2 - Multiply

Next, we multiply the whole number by the denominator.

9 x 4 = 36

Step 3 - Add Numerator

Then, we add the numerator to the answer we got in Step 2.

36 + 3 = 39

Step 4 - Solution

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:

   39  

   4  

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