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Yuki888 [10]
2 years ago
13

Are these figures below similar? NO LINKS!! NEED ANSWER ASAP​

Mathematics
2 answers:
jasenka [17]2 years ago
7 0
Yes they are hope it helps.
Vinvika [58]2 years ago
6 0
Yes they are
Hope this helps
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HELP! Find the value of sin 0 if tan 0 = 4; 180 &lt; 0&lt; 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.
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3 years ago
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The answer should be 2
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7 0
3 years ago
A cube has a net with area 600 in2. How long is an edge of the cube?
aev [14]

Answer : The length of an edge of cube is, 10 inches.

Step-by-step explanation :

The formula used for area of cube is:

Area of cube = 6a^2

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Area of cube = 600in^2[tex]Now put all the given values in the above formula, we get:Area of cube = [tex]6a^2

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Therefore, the length of an edge of cube is, 10 inches.

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