Am I correct ? If not the question is refer to the figure to complete this proportion r/h=h/? Answers A)r B)s C)h D)c

Mathematics

1 answer:

Harlamova29_29 [7]4 years ago

7 0

Here we have two right triangles. And in such case we have to use altitude rule which is

ratio of part of hypotenue and altitude= ratio of altitude and remaining part of hypotenuse

So we get

r/h =h/s

So the correct option is s .

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Simplify (4x^4y^3)^3/3(5x^2y^6)^2

jolli1 [7]

Answer: Hence, our simplified form will be :

$\frac{64}{75}x^8y^{-3}$

Step-by-step explanation:

Since we have given that

$\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}$

We need to simplify the above expression:

$\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}\\\\=\frac{4^3x^{4\times 3}y^{3\times 3}}{3\times 5^2x^{2\times 2}y^{6\times 2}}\\\\=\frac{64x^{12}y^9}{3\times 25x^4y^{12}}\\\\=\frac{64x^{12}y^9}{75x^4y^{12}}\\\\=\frac{64}{75}x^{12-4}y^{9-12}\\\\=\frac{64}{75}x^8y^{-3}$