Help !! What’s the answer ??

Mathematics

2 answers:

Svetach [21]2 years ago

8 0

A number is n.
The square of a number is n ².
10 times of the square of a number is 10n².

90 times the number is 90n.

10n²=90n
n²=9n
n²-9n=0
n(n-9)=0
n=0,
n-9=0,
n=9
Non-zero number is 9.

Vitek1552 [10]2 years ago

5 0

10(x^2) = 90x where x > 0 or x < 0

Factor by 10x on each sides

10x(x) = 10x(9)

x = 9

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Irina18 [472]

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Anna [14]

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$\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}$

For simplicity, let:

$\beta=m\angle A_1BC$

In triangle A1BC this leads to:

$\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}$

Therefore: