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emmasim [6.3K]
3 years ago
5

Find two postive numbers such that the ratio of the two numbers is 5 to 3 and the product of the two numbers is 540.

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Greeley [361]3 years ago
3 0

Answer:

<h2>lets \: number \: to \: be \: 5x \: and \: 3x \\ a.c \:  \:  \:  \:  \: (5x) \times (3x) = 540 \\ 15 {x}^{2}  = 540 \\  {x}^{2}  =  \frac{540}{15}  \\  {x}^{2}  = 36 \\ x =  \sqrt{36}  \\ x = 6 \\ so \: number \: will \: be \\ 5x = 5 \times 6 = 30 \\ 3x = 3 \times 6 = 18 \\</h2><h2><em>mark</em><em> </em><em>it</em><em> </em><em>as</em><em> </em><em>a</em><em> </em><em>Breallent</em><em> </em><em>answer</em><em> </em></h2><h2><em>and</em><em> </em><em>like</em><em>❤</em></h2>
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From the diagram, join R to P. Thus RP = QP (radius of the circle)

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Applying Pythagoras theorem to triangle TRP;

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