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MissTica
3 years ago
8

Can the sine rule relationship in trigonometry be used with non right angled triangle

Mathematics
2 answers:
Reika [66]3 years ago
7 0

Answer:

Below

Step-by-step explanation:

You can use it if you added a hight.

When you a hight you are creating a right triangle. If not you cannot use directly

qaws [65]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

If you mean just sine in general, then yes, it can be used with other triangles.

If you mean  sin=\frac{opposite}{hypotenuse} , then there has to be a right triangle. But in other cases, sine is used to find missing sides as well as angles in triangles that are not right-angled.

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Vavilen inflated a huge balloon in 19 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was
kaheart [24]

Considering balloon to be an spherical object

Volume of sphere = \frac{4}{3}\pi r^3, where r is the radius of sphere.

After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.

V'= \frac{4}{3}\pi R^3,

As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.

Also, \frac{dR}{dt}=2 \times \frac{dr}{dt}

Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.

Time taken by the balloon to deflate = 38 minutes

But there is no relation between time and volume of Balloon.

So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question:   \frac{dR}{dt}=2 \times \frac{dr}{dt}

7 0
3 years ago
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\dfrac{1}{2} - 60\% - 25\% = <br> 2<br> 1<br> ​ <br> −60%−25%
Helen [10]

Answer:

the answer is -85%

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7 0
2 years ago
Can somebody please tell me what 1/2x3/4 is.
Ad libitum [116K]

Answer: 3/8

Step-by-step explanation:

1/2 × 3/4

Multiply the numerators: 1 × 3 = 3

Multiply the denominators: 2 × 4 = 8

I hope this is clear, have a great day.

8 0
3 years ago
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100 (POINTS) The two dot plots below show the heights of some sixth graders and some seventh graders:
aalyn [17]

Answer:

2.4

Step-by-step explanation:

5 0
2 years ago
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The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is form
Fofino [41]
<h3>Answer:</h3><h3>C = 28.2, A = 25.8, a = 6.5</h3>

See diagram below.

==============================================

Work Shown:

Given info is

B = 126 degrees

b = 12

c = 7

Use the Law of Sines to solve for angle C

sin(C)/c = sin(B)/b

sin(C)/7 = sin(126)/12

sin(C)/7 = 0.067418082864579

sin(C) = 7*0.067418082864579

sin(C) = 0.471926580052053

C = arcsin(0.471926580052053) or C = 180-arcsin(0.471926580052053)

C = 28.1594278560921 or C = 180-28.1594278560921

C = 28.1594278560921 or C = 151.840572143908

C = 28.2 or C = 151.8

We have two possible angle values for C.

-----------------

If C = 28.2, then A = 180-B-C = 180-126-28.2 = 25.8

If C = 151.8, then A = 180-B-C = 180-126-151.8 = -97.8

So it is not possible for C = 151.8 (because it leads to angle A being negative)

Therefore, only C = 28.2 is possible.

-----------------

Use the law of cosines to find the remaining side 'a'

a^2 = b^2 + c^2 - 2*b*c*cos(A)

a^2 = (12)^2 + (7)^2 - 2*(12)*(7)*cos(25.8)

a^2 = 144 + 49 - 168*0.900318771402194

a^2 = 144 + 49 - 151.253553595569

a^2 = 41.7464464044315

a = sqrt(41.7464464044315)

a = 6.46114900032738

a = 6.5

-----------------

Only one triangle is possible

The fully solved triangle has these angles and sides:

  • A = 25.8 (approx)
  • B = 126
  • C = 28.2 (approx)
  • a = 6.5 (approx)
  • b = 12
  • c = 7

With stuff in bold representing the terms we solved for previously. Attached below is an image of the fully solved triangle.

4 0
3 years ago
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