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3 years ago

Find the value of x and y please

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

x = 20 and y = 14.14213562 ( you can simplify it)

Step-by-step explanation

x = the opposite side divided by sin 45 ( the angle)

$10\sqrt 2$ / sin(45)

y = the opposite side divided by the adjacent side

$10\sqrt2$ / tan(45)

14.14213562

14.14

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Question 15 (1 point)

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Answer:

The value of k is 12.57
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Step-by-step explanation:

Let s be the surface area and r be the radius

Then according to given statement

s∝r²

Removing the proportionality symbol introduces k, the constant of proportionality

$s = kr^2$

Now

A soap bubble with a 0.75 in. radius has a surface area of approximately 7.07 square inches.

Putting in the equation

$7.07 = k (0.75)^2\\7.07 = k * 0.5625\\k = \frac{7.07}{0.5625}\\k = 12.5688..\\k = 12.57$

The euqation beomes

$s = 12.57r^2$

Putting s = 113.1 in the equation

$113.1 = 12.57r^2\\r^2 = \frac{113.1}{12.57}\\r^2 = 8.99761...\\\sqrt{r^2} = \sqrt{8.9976..}\\r = 2.9996..$

Hence,

The value of k is 12.57
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Answer:

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Step-by-step explanation:

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