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nirvana33 [79]
3 years ago
7

Let AABC be a right triangle with mzC = 90°. Given tan 2B = 0.125, find tan 2A. tan ZA =

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:

Solution given:

In right angled triangle ABC

TanB=\frac{AC}{BC}

0.125×BC=AC

AC=0.125BC

now

TanA=\frac{BC}{AC}=\frac{BC}{0.125BC}=8° is your answer.

s344n2d4d5 [400]3 years ago
5 0

Answer:

  • 8

Step-by-step explanation:

  • <em>tan = opposite leg / adjacent leg</em>

<u>Given</u>

  • tan ∠B = b/a = 0.125

<u>Find tan ∠A</u>

  • tan ∠A = a/b = 1/ tan ∠B

<u>Since tan ∠B = 0.125</u>

  • tan ∠A = 1/0.125 = 8
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What dose this sign mean in math ( )
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< Less Than and > Greater Than

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(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar
EastWind [94]

Answer:

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Step-by-step explanation:

Rewrite the equation system as:

6x+8y=-75

-3x+6y+6z=5

2x-9y=39

Now, write the system in its augmented matrix form:

\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]

applying row reduction process to  its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]

R3+2R1

\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]

3R2+2R1

\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]

15R3+20R2

\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]

Now we have a simplified system:

-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565

-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)

From (3):

z=\frac{313}{84} (4)

Replacing (4) in (2)

y=\frac{-192}{35} (5)

Finally replacing (5) and (4) in (1)

x=\frac{-363}{70}

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3 years ago
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