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Bumek [7]
3 years ago
5

Two sides of a triangle measure 8 centimeters and 13 centimeters which of the following could not be the length of the third sid

e
A: 4 cm
B:8 cm
C: 14 cm
D: 18 cm
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0
The answer is A because 13-9 equals 4
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HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270
BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

\large \boxed{sin \theta = tan \theta cos \theta} \\  \large \boxed{tan^{2}  \theta + 1 =  {sec}^{2} \theta}

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

\large{ {4}^{2}  + 1 =  {sec}^{2} \theta } \\  \large{16 + 1 =  {sec}^{2} \theta } \\  \large{ {sec}^{2}  \theta = 17}

As we know, sec²θ = 1/cos²θ.

\large \boxed{sec \theta =   \frac{1}{cos \theta} } \\  \large \boxed{ {sec}^{2}  \theta =  \frac{1}{ {cos}^{2}  \theta} }

And thus,

\large{  {cos}^{2}  \theta =  \frac{1}{17}}   \\ \large{cos \theta =  \frac{ \sqrt{1} }{ \sqrt{17} } } \\  \large{cos \theta =  \frac{1}{ \sqrt{17} }  \longrightarrow  \frac{ \sqrt{17} }{17} }

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

\large{cos \theta =   \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta =  -  \frac{ \sqrt{17} }{17}}

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

\large{sin \theta = 4 \times ( -  \frac{ \sqrt{17} }{17}) } \\  \large{sin \theta =  -  \frac{4 \sqrt{17} }{17} }

Answer

  • sinθ = -4sqrt(17)/17 or A choice.
4 0
3 years ago
Find the missing side length ED Round answe to the nearest tenth please.
GarryVolchara [31]

Answer:

Step-by-step explanation:

Considering the given triangle EDI, to determine ED, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

ED/SinI = DI/SinE = EI/SinD

Therefore

Recall, the sum of the angles in a triangle is 180°. Therefore,

I° = 180 - (36 + 87) = 57°

Therefore,

ED/Sin 57 = 26/Sin 36

Cross multiplying, it becomes

EDSin36 = 26Sin57

0.588ED = 26 × 0.839

0.588ED = 21.814

ED = 21.814/0.588

ED = 37.1 m

8 0
3 years ago
I need some help plz!!!
jek_recluse [69]
1.04 kilograms

1 gram = .001 kilogram
2x520= 1040
1040 x .001 = 1.04 kilograms
5 0
3 years ago
Which of the following is a term in the algebraic expression:
tankabanditka [31]

Answer:

Hello!

____________________

Your answer would be (C).

Hope this helped you!

4 0
3 years ago
What is 470,925.8 in expanded form
ICE Princess25 [194]

470,925.8 in expanded form is ...

400,000 + 70,000 + 900 + 20 + 5 + 0.8

Hope this helps

Brainliest is always appreciated

Give me a thanks

3 0
3 years ago
Read 2 more answers
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