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polet [3.4K]
3 years ago
11

Find the length of side x in simplest radical form with a rational denominator

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

x = √(10)/2

Step-by-step explanation:

Here, we want to get the measure of the side marked x

what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each

Hence, the other last side will measure x too

Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

x^2 + x^2 = (√5)^2

2x^2 = 5

x^2 = 5/2

x = √(5/2)

x = √5/√2

Rationalizing the denominator;

x = (√2 * √5)/(√2 * √2)

x = √10/2

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Fiesta28 [93]

Answer:

56

Step-by-step explanation:

First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:

70% → 70.00 → 0.70 → 0.7

70% percent can be seen as 0.7. Multiply this by 80:

80*0.7=56

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:Done

7 0
3 years ago
George walked around the entire perimeter of his rectangular garden. The length of his garden was 12 yards and the width was 8 y
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8 0
2 years ago
30.16=17.56+5x what is the soloution to this equation what is x
skelet666 [1.2K]
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3 years ago
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you pick a card at random without getting the first card back you pick a second card at random what is the probability of pickin
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,

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8 0
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Answer:

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4 0
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