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1 year ago

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

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What is the surface area of the figure? Use 3.14 for π....PLEASE HELP....NEED HELP ASAP

raketka [301]

Answer:

Step-by-step explanation:

Always use your imaginary scissor:

Cut the above and below circle and the cylinder role it down-ways like a carpet and you will end up with two circles and a big rectangular.

Surface circle: 7 * 7 * 3,14 = 153.86

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Results:

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3 years ago

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What is the area of this trapezoid?

Ivanshal [37]

Answer: 357 cm²

Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below

The b's are the bases or the parallel sides and the h represents the height.

So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.

Plugging this information into the formula, we have .

Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have

1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².

So the area of the trapezoid shown is 357 cm².

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3 years ago

sam rolls 3 standard fair dice. that probability that the three numbers rolled on the dice are the sides of a triangle is , wher

mart [117]

The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.

<h3>What is probability?</h3>

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.

Here,

When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).

Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.

As a result, 186 outcomes or triplets are possible and satisfy this property.

Hence, the required probability is 186/216=31/36.

The required probability is 31/36 for three dice rolls to produce triangle sides.

To know more about probability,

brainly.com/question/11234923?referrer=searchResults

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1 year ago

A cube has side lengths of 2 m. What is the surface area of the cube? Enter your answer in the box.