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Dvinal [7]
3 years ago
15

Find y..........................................................................................................................

................

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

sin30 =  \frac{o}{h}  \\ sin30 =  \frac{5}{x}  \\ x =  \frac{5}{0.5}  \\ x = 10

{10}^{2}  +  {10}^{2}   =  {y}^{2}  \\ 100 + 100 =  {y}^{2}  \\ 200 =  {y}^{2}  \\  \sqrt{200}  = y \\ 14.14 = y\\

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A positive real number is 5 more than another. When - 10 times the smaller is added to the square of the larger, the result is 5
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Answer:

4√2 and 5+4√2

Step-by-step explanation:

Let the two numbers be x ad y

Smaller = y

Bigger = x

If a positive real number is 5 more than another, then;

x = 5 + y ... 1

When - 10 times the smaller is added to the square of the larger, the result is 57, then;

-10y + x² = 57 ...2

Substitute 1 into 2;

-10y + (5+y)² = 57

-10y + 25+10y+y² = 57  

y²+25 = 57

y² = 57 - 25

y² = 32

y = √32

y = 4√2

Since x = 5 + y

x = 5 + 4√2

Hence rhe numbers are 4√2 and 5+4√2

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Step-by-step explanation:

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