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Inga [223]
2 years ago
5

Riccardo Frierson deposits $1,200 in savings account. The account pays a 3.5% annual interest rate. He makes no other deposits o

r withdrawals. How much simple interest does his account earn in 6 months?​
Mathematics
1 answer:
jonny [76]2 years ago
7 0

Answer: 25

Step-by-step explanation:

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Number 15-17<br> Please help!
Brrunno [24]

17dawdadawdadadawdad

5 0
3 years ago
Draw the shape described below and find its total surface area.
iogann1982 [59]

Answer:

hope this helps :)

Step-by-step explanation:

8:07

Cylinder volume & surface area (video)

3 0
3 years ago
4 without using an exponent<br> of 1
Allushta [10]

Answer:

what do you mean like 4 with a exponent of 2,3,4,5,6,7,8,9,10?

Step-by-step explanation:

5 0
3 years ago
Find all possible values of α+
const2013 [10]

Answer:

\rm\displaystyle  0,\pm\pi

Step-by-step explanation:

please note that to find but α+β+γ in other words the sum of α,β and γ not α,β and γ individually so it's not an equation

===========================

we want to find all possible values of α+β+γ when <u>tanα+tanβ+tanγ = tanαtanβtanγ</u><u> </u>to do so we can use algebra and trigonometric skills first

cancel tanγ from both sides which yields:

\rm\displaystyle  \tan( \alpha )  +  \tan( \beta ) =  \tan( \alpha )  \tan( \beta )  \tan( \gamma )  -  \tan( \gamma )

factor out tanγ:

\rm\displaystyle  \tan( \alpha )  +  \tan( \beta ) =   \tan( \gamma ) (\tan( \alpha )  \tan( \beta ) -  1)

divide both sides by tanαtanβ-1 and that yields:

\rm\displaystyle   \tan( \gamma ) =  \frac{ \tan( \alpha )  +  \tan( \beta ) }{ \tan( \alpha )  \tan( \beta )    - 1}

multiply both numerator and denominator by-1 which yields:

\rm\displaystyle   \tan( \gamma ) =   -  \bigg(\frac{ \tan( \alpha )  +  \tan( \beta ) }{ 1 - \tan( \alpha )  \tan( \beta )   } \bigg)

recall angle sum indentity of tan:

\rm\displaystyle   \tan( \gamma ) =   -  \tan( \alpha  +  \beta )

let α+β be t and transform:

\rm\displaystyle   \tan( \gamma ) =   -  \tan( t)

remember that tan(t)=tan(t±kπ) so

\rm\displaystyle   \tan( \gamma ) =    -\tan(   \alpha   +\beta\pm k\pi )

therefore <u>when</u><u> </u><u>k </u><u>is </u><u>1</u> we obtain:

\rm\displaystyle   \tan( \gamma ) =    -\tan(   \alpha   +\beta\pm \pi )

remember Opposite Angle identity of tan function i.e -tan(x)=tan(-x) thus

\rm\displaystyle   \tan( \gamma ) =    \tan(   -\alpha  -\beta\pm \pi )

recall that if we have common trigonometric function in both sides then the angle must equal which yields:

\rm\displaystyle  \gamma  =      -   \alpha   -  \beta \pm \pi

isolate -α-β to left hand side and change its sign:

\rm\displaystyle \alpha  +  \beta  +   \gamma  =  \boxed{ \pm \pi  }

<u>when</u><u> </u><u>i</u><u>s</u><u> </u><u>0</u>:

\rm\displaystyle   \tan( \gamma ) =    -\tan(   \alpha   +\beta \pm 0 )

likewise by Opposite Angle Identity we obtain:

\rm\displaystyle   \tan( \gamma ) =    \tan(   -\alpha   -\beta\pm 0 )

recall that if we have common trigonometric function in both sides then the angle must equal therefore:

\rm\displaystyle  \gamma  =      -   \alpha   -  \beta \pm 0

isolate -α-β to left hand side and change its sign:

\rm\displaystyle \alpha  +  \beta  +   \gamma  =  \boxed{ 0  }

and we're done!

8 0
3 years ago
Read 2 more answers
The lengths of two sides of a triangle are given.
azamat

Answer:

Range = 5 - 29

Step-by-step explanation:

a + b > c

a+c > b

c+b > a  

so

17+ 12 > c  ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12    ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5  

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here,  it should be greater than 17- 12 = 5  

So the range is ,

17 + 12

to

17-12

whcih is -   (5 to 29)

I hope I am right!!!

3 0
3 years ago
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