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fgiga [73]
3 years ago
8

I don’t know how to label the sides as “opposite, adjacent, hypotenuse” so I’m not sure which formula to use

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Step-by-step explanation:

The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)

I'll explain a bit more below using the some of the questions.

Q1) The given angle here is 27°.

X is facing the given angle hence it is the opposite side.

The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.

tanθ= opp/adj

tan27°= x/ 10

x= 10(tan 27°)

x= 5.1 units (nearest tenth)

Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.

cosθ= adj/hyp

cos39°= x/7

x= 7(cos39°)

x= 5.4 units (nearest tenth)

Q4) x is the hypotenuse and the opposite side is 8 units long.

sinθ= opp/hyp

sin46°= 8/x

x(sin46°)= 8

x= 8/ sin46°

x= 11.1 units (nearest tenth)

Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.

tanθ= opp/adj

tan23°= x/6

x= 6(tan 23°)

x= 2.5 units (nearest tenth)

Feel free to ask if you still do not understand any concepts :)

sinθ= opp/hyp

cosθ= adj/hyp

tanθ= opp/adj

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Answer:

It is proved that  6\cos ^{2}x -3 = 3 - 6\sin ^{2} x .

Step-by-step explanation:

We already have the identity of x as \sin ^{2}x + \cos ^{2}x = 1 .......... (1)  .

So, from equation (1) we can write that

\cos ^{2} x = 1 - \sin ^{2} x

⇒ 6\cos ^{2} x = 6 - 6 \sin ^{2} x

⇒ 6\cos ^{2} x -3 = 6 - 6 \sin ^{2}x -3

⇒ 6\cos ^{2}x -3 = 3 - 6\sin ^{2} x

Hence, it is proved that  6\cos ^{2}x -3 = 3 - 6\sin ^{2} x . (Answer)

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3.90625×10^_03

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When the distributive property is applied, which number completes the statement correctly?
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A map of a town was made using a scale factor of 1 inch =1/2 mile. On the map, Sonja measures that her house is 3 inches away fr
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Answer:

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According to the scale, we can simply multiply the distance that Sonja measured on the map by the actual mile distance that it states on the scale (1/2 or 0.5) to calculate the actual distance between Sonja's house and Sal's house like so...

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2 years ago
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!<br> PLEASE HELP ME!
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Answer:

-4 and 4

Step-by-step explanation:

<u>Method 1</u>

Apply Difference of Two Squares Formula: a^2-b^2=(a+b)(a-b)

Given  x^2-16=0

Rewrite 16 as 4²

Therefore, a^2=x^2 and b^2=4^2

\implies a = \sqrt{x^2}=x

\implies b=\sqrt{4^2} =4

\implies x^2-16^2=(x+4)(x-4)

\implies (x+4)(x-4)=0

\implies (x+4)=0 \implies x=-4

\implies (x-4)=0 \implies x=4

<u>Method 2</u>

Given equation:

x^2-16=0

Add 16 to both sides:

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\implies x^2=16

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\implies \sqrt{x^2}=\sqrt{16}

\implies x=\pm4

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