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Brilliant_brown [7]
3 years ago
14

Someone please let me know the answer ​

Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

The answer is 30°

Step-by-step explanation:

when \:  \:   \sqrt{3}  \sin( \alpha )  -  \cos( \alpha )  = 0 \\  \sqrt{3}   \sin( \alpha )  =  \cos( \alpha )  \\ multiply \: by \:  \frac{1}{ \sqrt{3}  \cos( \alpha ) }  \\ then \\  \frac{ \sin( \alpha ) }{ \cos( \alpha ) }  =  \frac{1}{ \sqrt{3} }  \\  \tan( \alpha )  =  \frac{1}{ \sqrt{3} }  \\ then \:  \alpha  = 30

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What is the length of YZ in XYZ
Studentka2010 [4]

AZ=12 - is hypotenuse

∠XZY=30° ⇒

XY=\dfrac{1}{2} \times12=6

\text{By the Pythagorean theorem}\\YZ=\sqrt{12^2-6^2} =\sqrt{(12-6)(12+6)} =\sqrt{6\times18} =\sqrt{108} =6\sqrt{3}

3 0
2 years ago
Evaluate the expression 1.5(p+n) for p= and n =6​
Anarel [89]

Answer:

The answer is 18

Step-by-step explanation:

1.5(p+n) for p= and n =6​

As we know the values of p=6 and n=6

Solve it according to the BODMAS rule. According to this rule if we have brackets or parenthesis then first we have to solve or simplify the brackets.

Put the values in the given expression:

1.5(6+6)

Now solve the parenthesis first:

1.5(12)

Now multiply 1.5 by

The answer is 18....

8 0
3 years ago
Alex’s paycheck for the last two weeks totaled $239.64. He owes the cell phone company $45.87. How much money does he have left?
enyata [817]
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4 0
3 years ago
Does anyone know what the answer to this is, I don’t understand it.
Elena L [17]
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7 0
3 years ago
II. The following figure shows an infinite zigzag path with each zag
nataly862011 [7]

The length of the infinite zigzag path is 1

<h3>How to determine the length</h3>

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Using angle π/4, we have that

Tan π/4 = opposite/ adjacent

tan \frac{3. 412}{4}  = \frac{x}{1}

tan 0. 7855 = x

x = 0. 014

To find the longer part 'y',  use the Pythagorean theorem

y^{2} = (0.014)^2 + (1)^2

y^2 = 1.879 * 10^-4 + 1
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y = \sqrt{1. 000}

y = 1. 000

The length of the infinite zigzag path is the same as the length of the longer part of the triangle which equals 1.

Thus, the length of the infinite zigzag path is 1

Learn more about the Pythagorean theorem here:

https://brainly.in/question/48490459

#SPJ1

8 0
2 years ago
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