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mrs_skeptik [129]
4 years ago
8

Square root of 100/121

Mathematics
1 answer:
klasskru [66]4 years ago
7 0
Ah... good ol' square roots...

Whenever you take the square root of multiplication or division, you can do the square roots separately. So, we can write:

\sqrt{\frac{100}{121}} = \frac{\sqrt{100}}{\sqrt{121}}

This nifty truth allows us to easily find the answer:
\frac{\sqrt{100}}{\sqrt{121}} = \frac{10}{11}

All done!
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Chris rode his bike 4 miles west and then 3 miles south. What is the
melamori03 [73]

Answer:

5 miles

Step-by-step explanation:

This is because if you draw a line going west and label it as 4 miles, then draw another line going south and label it 3 miles, you form a right angle, right? So, the fastest way to go back would be taking a diagonal-like route back to the beginning. Does this shape look familiar to you? Right! It's a right triangle. And do the numbers 3, 4, and 5 sound familiar to you? Yup, it's a Pythagorean triplet. If the legs of a right triangle are 3 and 4, the hypotenuse is 5. Why am I saying this? Because, in the drawing you just did, the 4 miles west and 3 miles south were the legs, and the diagonal path back to the beginning is the hypotenuse. Get it now?

Happy to help! :)

7 0
3 years ago
A number cube (dice) is rolled and a letter is selected from the word GIRAFFE. What is the compound probability of P ( 4 and F)
Furkat [3]

Answer:

P (4 and F) = 1 in 21 or 4.76%

P(EVEN NUMBER AND VOWEL) = 3 in 14 or 21.43%

Step-by-step explanation:

The probability of rolling a four on a die is 1 in 6.

The probability of picking the letter F in the word GIRAFFE is 2 in 7.

Therefore:

P (4\ and\ F)=P(4)*P(F)\\ P (4\ and\ F)=\frac{1}{6}*\frac{2}{7}\\    P (4\ and\ F)=\frac{1}{21}= 4.76\%

The probability of rolling an even number (2, 4 or 6) on a die is 3 in 6.

The probability of picking a vowel (A, E, I) in the word GIRAFFE is 3 in 7.

Therefore:

P (Even\ and\ Vowel)=P(Even)*P(Vowel)\\ P (Even\ and\ Vowel)=\frac{3}{6}*\frac{3}{7}\\     P (Even\ and\ Vowel)=\frac{3}{14}= 21.43\%

5 0
3 years ago
What is the measure of
cricket20 [7]

Answer:

m∠ADC = 90°

Step-by-step explanation:

Since, AB║CD and side AD is a transverse intersecting these parallel lines,

m∠DAC + m∠ADC = 180° [Consecutive interior angles]

85° + m∠ADC = 180°

m∠ADC = 180 - 85

              = 95°

Therefore, measure of angle ADC = 95° will be the answer.

7 0
3 years ago
What is the absolute value of -6? Use the number line to help answer the question.
Nataly_w [17]

Answer:

it is 6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Below is the graph of equation y=−|x−2|+2. Use this graph to find all values of x such that y<0
gayaneshka [121]

Answer:

x > 2 and x < -2

Step-by-step explanation:

7 0
3 years ago
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