if a sacretary types 55 words in one minute how long will it take the secretary to type a 2000 word report

Graph 2x+3y=1,470. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and

Yuki888 [10]

Answer:

x-intercept: 735
y-intercept: 490

Step-by-step explanation:

See the attachment for a graph.

4 0

3 years ago

Wright a simple equation :)

kipiarov [429]

Answer:

6 pairs of socks

Step-by-step explanation:

I started with $15.99 and subtracted that by $21.93. $21.93-$15.99= $5.94. Then I divided $5.94 by $0.99. $5.94/$0.99= 6. I hope this helped

4 0

3 years ago

The janitor at a school discovered a leak in a pipe. The janitor found out that it was leaking at a rate of 14 oz per hour. How

umka2103 [35]

2.625 gallons a day

14 oz x 24 hours = 336 oz per day

336 oz converted to gallons is 2.625 gallons

7 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

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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

True or false, A function is a relation if and only if the x-values do not repeat in a given set

salantis [7]

Its false because it can't repeat in a set.

5 0

3 years ago

Read 2 more answers

if a sacretary types 55 words in one minute how long will it take the secretary to type a 2000 word report ​

if a sacretary types 55 words in one minute how long will it take the secretary to type a 2000 word report