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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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True, this is in accordance to the side-side-side postulate.
7 0
4 years ago
PLEASE HELP I REALLY DONT UNDERSTAND
Katarina [22]

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

7 0
3 years ago
What is the true solution to l n 20 l n 5 = 2 l n x
Genrish500 [490]

Since the solution cannot be negative hence the true solution to the expression is x = 10

<h3>Laws of logarithm</h3>

Given the logarithmic expression

ln 20 + ln 5 = 2lnx

In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:

ln(20*5) = 2lnx
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x^2 =100

x = 10

Since the solution cannot be negative hence the true solution to the expression is x = 10

Learn more on log functions here: brainly.com/question/13473114

5 0
2 years ago
2= 2.27- m/4<br><br> How do I do this?! I need this for mathematics homework!
netineya [11]

Answer:

1.08 = m

Step-by-step explanation:

2= 2.27- m/4

Subtract 2.27 from each side

2-2.27= 2.27-2.27- m/4

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Multiply each side by -4

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6 0
3 years ago
Find the common ratio for the following geometric sequence. 0.75,1.5,3,6,...
Rasek [7]

Answer:

<h2>2</h2>

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...\ ,\ a_n\ \text{is a geometric series, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant

\text{We have}\ 0.75,\ 1.5,\ 3,\ 6,\ ...\\\\\text{The common ratio}\ r:\\\\\dfrac{1.5}{0.75}=2\\\\\dfrac{3}{1.5}=2\\\\\dfrac{6}{3}=2\\\\\boxed{r=2}

4 0
3 years ago
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