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expeople1 [14]
3 years ago
7

Johns dog slept for 3 hours if the dog snored every 1/3 of an hour how many times did he snore

Mathematics
2 answers:
Virty [35]3 years ago
8 0
If John's dog sleeps for three hours and snores 1/3 of an hour. Then, he snored for 3/3.
Licemer1 [7]3 years ago
3 0
The dog snored nine times. 1/3 of an hour is every 30 minute interval. 30 min + 30 min = 1 hour. Multiply this x3, and the answer is nine. A simpler way of thinking about this is 3 x 3 or 3 squared.
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To rent a midsize car for one day, Speedy charges a flat rate of $41 plus an additional fee of $0.10 per mile driven. Write an e
svetlana [45]

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Step-by-step explanation:

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3 years ago
I need help proving this ASAP
Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

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