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3 years ago

What is the measure of the other acute angle ?

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

The measure is 61 degrees

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Convert: 6y + y² = x² from rectangular to polar form.

11Alexandr11 [23.1K]

$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\\\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\\\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\$

$\bf 6y+y^2=x^2\implies \cfrac{6y}{x^2}+\cfrac{y^2}{x^2}=1\implies \cfrac{6rsin(\theta )}{[rcos(\theta )]^2}+\cfrac{[rsin(\theta )]^2}{[rcos(\theta )]^2}=1
\\\\\\
\cfrac{6rsin(\theta )}{r^2cos^2(\theta )}+\cfrac{r^2sin^2(\theta )}{r^2cos^2(\theta )}=1\implies 
\cfrac{6sin(\theta )}{rcos^2(\theta )}+\cfrac{sin^2(\theta )}{cos^2(\theta )}=1$

$\bf \cfrac{6sin(\theta )}{rcos^2(\theta )}=1-\cfrac{sin^2(\theta )}{cos^2(\theta )}\implies \cfrac{6sin(\theta )}{1-\frac{sin^2(\theta )}{cos^2(\theta )}}=rcos^2(\theta )
\\\\\\
\cfrac{6sin(\theta )}{cos^2(\theta )\left[ 1-\frac{sin^2(\theta )}{cos^2(\theta )} \right]}=r\implies \cfrac{6sin(\theta )}{cos^2(\theta )-sin^2(\theta )}=r
\\\\\\
\cfrac{6sin(\theta )}{cos(2\theta )}=r$

5 0

3 years ago

Is this a polynomial, if so whats the degree

IRINA_888 [86]

Answer:

where is the polynomial (?)

Step-by-step explanation:

5 0

3 years ago

Which inequality shows twelve times the sum of three plus c is greater than 27?

snow_lady [41]

Hello!

You can break this down

12 times the sum of 3 and c

This can be written as 12(3 + c)

is greater than 27

12( 3 + c) > 27

This can be simplified to 36 + 12c > 27

The answer is 12(3 + c) > 27 or 36 + 12c > 27

Hope this helps!

7 0

3 years ago

Selena is a waitress. She earns $2.50 per hour plus tips. Last weekend, Selena eamed

viva [34]

Answer: more than

Step-by-step explanation:

If you divide 175/2.5 you get 70

That is the amount of hours she worked

So therefor she worked over 50 hours

3 0

3 years ago

Expressions that are equivalent to <br> –<br> 8(q+6).

Alona [7]

Answer:

q = -6

Step-by-step explanation:

8(q + 6)

= (8×q) (8×6)

= 8q + 48

8q = -48

q = -48/8

q = -6

8 0

3 years ago