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AVprozaik [17]
3 years ago
9

What is the height of a triangle if the base is 60 and the hypotenuse is 61?

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).

60^2 + x^2 = 61^2

3600 + x^2 = 3721

x^2 = 3600 - 3721

x^2 = 121

x = sqrt121

x = 11

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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
2 years ago
Identify the graphed linear equation.<br> A) y=5x+2<br> B) y=5x-2<br> C) y=-5x+2<br> D) y=-5x-2
soldi70 [24.7K]

Answer: y=-5x-2

Step-by-step explanation: If you type all of the options into desmos calculator you will come up with 4 different graphs. Just simply find the graph with your coordinates on it. hope this helped :)

7 0
3 years ago
6 is a factor of 2 true or false
m_a_m_a [10]
False. 2 is a factor of 6.

5 0
3 years ago
Read 2 more answers
Which equation represents the function shown in the input-output table?
stepladder [879]

Answer:

Equation B

Step-by-step explanation:

Equation B because:

it is 7x + 3

so for the first one, it's 7 + 3

the second one is 14 + 3

the third one is 21 + 3

the fourth one is 28 + 3

Please Mark Brainliest

4 0
3 years ago
Work out (5x10^3) x (5x10^7) standard form
dmitriy555 [2]
5*10^3 * 5*10^7= 5*5 *10^3*10^7=25*10^10

Generally u are allowed to leave it as it is but if no

25*10^10=25 * 10000000000 = 250000000000

Here u are!
3 0
3 years ago
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