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3 years ago

Janice swam in the 400 ___ backstroke.

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Meter/ yard. Likely meter since that is high/college standard

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- 1/3 square root-90

aksik [14]

Answer: $-i\sqrt{10}$

Step-by-step explanation:

Assuming that you need to simplify the expression, below is the explanation to do it.

Given the following expression:

$-\frac{1}{3}\sqrt{-90}$

You need to decompose the radicand (The number inside the square root) into its prime factors:

$90=2*3*3*5=2*3^2*5$

Knowing that, you can rewrite the expression in this form:

$=-\frac{(1)(\sqrt{-2*3^2*5})}{3}=-\frac{\sqrt{-2*3^2*5}}{3}$

Since $\sqrt{-1}=i$ , you must substitute it into the expression:

$=-\frac{i\sqrt{2*3^2*5}}{3}$

Now you need to remember the following property:

$\sqrt[n]{a^n}=a^{\frac{n}{n}}=a$

Then, applying that property, you get:i:

$=-\frac{3i\sqrt{2*5}}{3}=-\frac{3i\sqrt{10}}{3}$

Finally, you must divide the numerator and the denominator by 3. So, you get:

$=-\frac{i\sqrt{10}}{1}=-i\sqrt{10}$

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3 years ago

How many area codes (ABC) would be possible if all three digits could be any value 3-9

wolverine [178]

Answer:

Step-by-step explanation:

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2 years ago

Help me with math please

slava [35]

Both of these lines share the relationship together of being parallel.

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2 years ago

The temperature is −18.2 Celsius in South Dakota and -9.7 Celsius Minnesota. Which one of the following inequalities correctly c

Ne4ueva [31]

Answer:

The answer is A) -9.7 > -18.2

Step-by-step explanation:

This is because, when you are thinking about negative numbers, the closer they are to 0, the greater they are. So, it is warmer in Minnesota.

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2 years ago

40 and 400 <br>The value of 4 in ___ is______ times the value of 4 in _____

Nat2105 [25]

The value of 4 in the 400 is ten times the value of 4 in the 40's place

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3 years ago

Read 2 more answers

Janice swam in the 400​ ___ backstroke.

Janice swam in the 400 ___ backstroke.