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Solnce55 [7]
3 years ago
5

11

Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

(>)

Step-by-step explanation:

3^-1=1/3

1/3 is bigger than 1/4

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Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your
Evgesh-ka [11]

Answer:

No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is

√2:1

If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.

5 0
3 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
Write "495 miles in 9 hours" as a rate in simplest form.
iogann1982 [59]

Answer:

44.55

Step-by-step explanation:

9 percent of 495

3 0
3 years ago
Read 2 more answers
5 + 17х + 9 = 2х 21x 14
babunello [35]

Answer:

simplify x=0 is the correct answer

3 0
3 years ago
If the average of 3 numbers and 8 is 25 what is the sum of the three numbers
Gennadij [26K]
Let sum of 3 numbers be x.

Average of 3 numbers and 8 = \frac{x + 8}{4}

25 = \frac{x +8}{4}

100 = x +8

x= 92.

The sum of 3 numbers is 92.


3 0
3 years ago
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