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4 years ago

Find the measurement of each segment.

Mathematics

1 answer:

zavuch27 [327]4 years ago

6 0

To find the measurement of PS, you would add the lengths of PQ and PS. 18.4+4.7=23.1. The answer is 23.1 cm

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Find last year's salary, if after a 4% pay raise, this year's salary is $34,320

Oksana_A [137]

34320*100/104 =
$33,000

4 0

3 years ago

If FR 10, which statement is true?

Tems11 [23]

I think it is D
Hope my answer help you?

4 0

3 years ago

You have 10 tbsp of onion powder.

evablogger [386]

Answer:

we can make 5 servings of spice rub from 10 table spoons of onion powder

Step-by-step explanation:

Given the data in the question;

2 table spoon of onion powder makes one serving of spice rub.

Total table spoons of onion powder available = 10

So Let x represent the number of servings of spice rub we can make from our 10 table spoons of onion powder ;

2 table spoons = 1 servings

10 table spoons = x servings

we cross multiply;

x servings × 2 table spoons = 10 table spoons × 1 servings

x servings = ( 10 table spoons × 1 servings ) / 2 table spoons

x = 10 / 2

x = 5 servings

Therefore, we can make 5 servings of spice rub from 10 table spoons of onion powder

3 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 tanα+tanβ+tanγ = tanαtanβtanγ 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 when k is 1 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:

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

when is 0:

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

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

How many hours are in 10years

Artist 52 [7]

There is about 87658.1. there are 8765.81 in one year so multiply by ten to get 87658.1.

4 0

3 years ago

Read 2 more answers