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andrey2020 [161]
3 years ago
14

Any help Will be super appreciated, I love you guys

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

70°

Step-by-step explanation:

<GER and IGE< are supplementary angles which means that their sum is equal to 180°

180 - 130 = 70°

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7a = 49 in multiplication way?<br> SHOW ALL WORK
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A WOULD BE 7 BECAUSE 7 TIMES 7 EQUALS 49
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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
PIT_PIT [208]

Answer:

\cos 2 \theta = \dfrac{119}{169}\\\\\sin2 \theta  = \dfrac{120}{169}\\\\\tan 2\theta = \dfrac{120}{119}

Step-by-step explanation:

\text{Given that,} \cos \theta = \dfrac{12}{13}\\ \\\text{Now,}\\\\\cos 2 \theta = 2 \cos^2 \theta - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{12}{13} \right)^2 - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{144}{169} \right) - 1\\\\\\~~~~~~~~~=\dfrac{288}{169}-1\\\\\\~~~~~~~~~=\dfrac{119}{169}

\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}

\tan 2 \theta = \dfrac{\sin 2\theta}{\cos 2\theta}\\\\\\~~~~~~~~~=\dfrac{\tfrac{120}{169}}{ \tfrac{119}{169}}\\\\\\~~~~~~~~~=\dfrac{120}{169} \times \dfrac{169}{119}\\\\\\~~~~~~~~~=\dfrac{120}{119}

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Please can help me with this problem ? Thanks
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3 years ago
Determine which set of side measurements could be used to form a right triangle.
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The sets (\sqrt{7}, 4, \sqrt{23}) and(\sqrt{29}, \sqrt{39}, 68) could be used to form a right triangle.

What is right triangle?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

Since for the right triangle is a, b, c are three sides of a triangle, where c is the diagonal, then

a^2 + b^2 = c^2

Consider, the set  (3, 5, 8)

Here,  3^2 + 5^2 ≠ 8^2.

Consider, the set (8, 9, 11)

Here, 8^2 + 9^2 ≠ 11^2

Consider, the set (\sqrt{7}, 4, \sqrt{23})

Here, (\sqrt{7})^2 + 4^2 = (\sqrt{23})^2

Consider, the set (\sqrt{29}, \sqrt{39}, 68)

Here, (\sqrt{29})^2 + (\sqrt{39})^2 = 68

Hence, (\sqrt{7}, 4, \sqrt{23}), (\sqrt{29}, \sqrt{39}, 68) could be used to form a right triangle.

To know more about the right triangle, click on the link

brainly.com/question/2437195

#SPJ1

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Kyleigh put a rectangular sticker on her notebook.the hiegth of the sticker measures 18cm.the base is half as long as the height
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The sticker covers 162 square cm.
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