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den301095 [7]
3 years ago
12

Can someone tell me the answer to this please???

Mathematics
1 answer:
romanna [79]3 years ago
4 0
Measure of x is 74 degrees
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What are the values of the three Trigonometric ratio for angle L, in simplest form
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\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\tan\theta=\dfrac{opposite}{adjacent}

opposite=20\\\\adjacent=15\\\\hypotenuse=25\\\\\sin L=\dfrac{20}{25}=\dfrac{4}{5}\\\\\cos L=\dfrac{15}{25}=\dfrac{3}{5}\\\\\tan L=\dfrac{20}{15}=\dfrac{4}{3}

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In the Roman republic senators implemented the majority of laws or oligarchs were voted in the control legal system legislation
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The exterior angle of a triangle is 164 degree and one
nataly862011 [7]

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• Let the other interior angle be x

{ \rm{x + 98 \degree = 164\degree}} \\  \\ { \rm{x = 164\degree - 98\degree}} \\  \\ { \boxed{ \rm{x = 66\degree}}}

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3 years ago
Given triangle ABC, which equation could be used to find the measure of ∠B? right triangle ABC with AB measuring 6, AC measuring
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Answer:

cos B = \dfrac{2\times \sqrt5}{5} is the correct answer.

Step-by-step explanation:

We are given a right angled \triangle ABC with the side measurements as:

AB = 6

AC = 3

BC = 3\sqrt5

In a right angled triangle, the angle of 90^\circ is the <em>largest angle and the side opposite to the right angle is the largest.</em>

We are given that the side BC = 3\sqrt5 which has a value greater than 6 which means side BC is the largest side.

And angle opposite to BC is \angle A is the largest i.e.

\angle A=90^\circ

Please refer to the attached image for the given dimensions of the triangle.

Now, we can apply trigonometric rules to easily find out the value of \angle B

cos \theta = \dfrac{Base}{Hypotenuse}\\OR\\cos B = \dfrac{AB}{BC}\\\Rightarrow cos B = \dfrac{6}{3\sqrt5}\\\Rightarrow cos B = \dfrac{2}{\sqrt5}\\\Rightarrow cos B = \dfrac{2\times \sqrt5}{\sqrt5 \times \sqrt5}\\\Rightarrow cos B = \dfrac{2\times \sqrt5}{5}

8 0
3 years ago
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