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aleksley [76]
3 years ago
8

Autumn measures the angle of elevation from the ground to the top of an 18-foottall tree as 27°. To the nearest tenth of a foot,

how far is she from the tree?
Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

Answer:

35.3 ft (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

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Profit P(x), is the difference between revenue, R(x), and cost, C(x), so P(x)=R(x)-C(x). Which expression represents P(x), if R(
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Answer:

P(x)= x ^4-3x^3+x^2-4    

Step-by-step explanation:

Given data

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c(x)=x^4-x^2+2x+3

We know that

P(x)=R(x)-C(x)

Hence

P(x)= 2x ^4-3x^3+2x-1-(x^4-x^2+2x+3)

open bracket

P(x)= 2x ^4-3x^3+2x-1-x^4+x^2-2x-3

Collect like terms

P(x)= 2x ^4-x^4-3x^3+x^2-2x+2x-3-1    

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4 0
3 years ago
A worker on the production line is paid a base salary of ​$230.00 per week plus ​$0.78 for each unit produced. Write an equation
iogann1982 [59]

(a)

We are given

A worker on the production line is paid a base salary of ​$230.00 per week

so, base salary =230

Let's assume number pencils produced as x

plus ​$0.78 for each unit produced

now, we can find equation for earnings

E(x)=230+0.78x

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her earnings of ​$446.84 for a week when she produced x units

so, we can set E(x)=446.84

and then we can solve for x

446.84=230+0.78x

230\cdot \:100+0.78x\cdot \:100=446.84\cdot \:100

23000+78x=44684

23000+78x-23000=44684-23000

78x=21684

\frac{78x}{78}=\frac{21684}{78}

x=278

so, number of pencils = 278........Answer

(b)

If the worker had produced twice that number of​ units

so, number of pencils =2*278=556

now, we can find earnings

E(x)=230+0.78x

now, we can plug x=556

E(556)=230+0.78*556

E(556)=663.68.................Answer


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