if sin-1x+sin-1y+sin-1z=pi/2. then show that x^2+y^2+z^2+2xyz=1​

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Answer:

1 is ans please make me brainslit

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Can you answer the last one with correct rhyming words for butterfly and the cot or bed please fast it is urgent my sister should submit to teacher online and she don't know​
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Answer:

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Answer:

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The sum of the squares of three positive numbers that are consecutive multiples of 5 is 725. Find the three numbers.Spams not allowed ❌​

Answer:

Hello Santa19!

10,15 and 20 are the three numbers

Step-by-step explanation:

Let the three consecutive multiples of 5 be 5x, 5x + 5, 5x+10

Their square are

[tex] {(5x)}^{2} \\ {(5x + 5)}^{2} \\ and \\ {(5x + 10)}^{2} [/tex]

[tex] {(5x)}^{2} + {(5x + 5)}^{2} + {(5x + 10)}^{2} = 725 \\ \\ = {25x}^{2} + {25x}^{2} + 50x + 25 + {25x}^{2} + 100x \\ + 100 = 725 \\ \\ = {75x}^{2} + 150x - 600 = 0 \\ \\ {x}^{2} + 2x - 8 = 0 \\ \\ = (x + 4)(x - 2) = 0 \\ \\ = x = - 4 \: and \: 2 \\ \\ x = 2 [/tex]

So numbers are 10,15 and 20

Hope it helps you from my side

Let the three consecutive multiples of 5 be 5x, 5x + 5, 5x + 10.

Their squares are (5x)2, (5x + 5)2 and (5x + 10)2.

(5x)2 + (5x + 5)2 + (5x + 10)2 = 725

⇒ 25x2 + 25x2 + 50x + 25 + 25x2 + 100x + 100 = 725.

75x² + 150x - 600 = 0

x² + 2x - 8 = 0

(x + 4)(x - 2) = 0

x = -4,2

x= 2 (ignoring -ve value)

So the numbers are 10,15 and 20 (◠‿◕)
(6) आनुवंशिकी के जनक हैं। (7) किसी तार का प्रतिरोध उसकी लंबाई के .... होता है​

Answer:

उसकी लम्बाई के व्यत्कृमनुपाती होता है

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