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Len [333]
1 year ago
15

Find the value of sin² R

Mathematics
1 answer:
Vlada [557]1 year ago
8 0

If the hypotenuse of PQR triangle is 5 and perpendicular is \sqrt{2},then value of sin²R is 2/25.

Given that the hypotenuse is 5 and perpendicular is \sqrt{2}.

We are required to find the value of sin²R.

Trigonometric ratios are basically the ratios of the sides of the right angled triangle.

Sin is the ratio of perpendicular and hypotenuse of the right angled triangle. We can easily find the value of sin²R with the help of ratio of perpendicular and hypotenuse.

sin R=PQ/PR

sin R=\sqrt{2}/5

Squaring both sides,

sin² R=(\sqrt{2} )^{2}/(5)^{2}

sin²R=2/25

Hence if the hypotenuse is 5 and perpendicular is \sqrt{2},then value of sin²R is 2/25.

Learn more about trigonometric ratios at brainly.com/question/24349828

#SPJ1

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Answer:

The height of the another cylinder 'h'  = 7

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step 1:-</u>

Surface area of the cylinder  = 2пrh + 2пr^2

Given radius of first cylinder is 20cm

given height of the first cylinder is 2 cm

The surface area of first cylinder is = 2пrh + 2пr^2

                                                          = 2п(20)(2)+2п(2)^2

                                                          = 4п(20+2)

The surface area of first cylinder is  88п

<u>Step 2</u>:

given data The surface area of first cylinder is  88п is same as second cylinder also

<u>Find the height of the second cylinder</u>

Given Radius of the second cylinder r = 4

Surface area of the cylinder  = 2пrh + 2пr^2 = 88п

                                                   2п(4)h+2п(4)^2 =88п

on simplification we get

                                   2п (4h+16) = 88п

after cancellation '2п' value and on simplification, we get

                                    4h+16 = 44

                                    4h = 44-16

                                  4h = 28

                                 h=7

Therefore the height of the another cylinder is 'h' =7

                                   

3 0
3 years ago
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