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ki77a [65]
3 years ago
14

Em um triangulo ABC,a medida do angulo BAC excede a medida de ABC em 10°,e a medida do amgulo ACB,adicionada de 30°,é igual ao d

obro da medida de BAC.Quais são as medidas dos angulos deste triangulo?
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0
the question in English is

<span>In a triangle ABC, the measure of the BAC angle exceeds the ABC measure by 10 °, and the measure of the ACB angle, added by 30 °, is equal to twice the BAC measure. What are the measures of the angles of this triangle?
</span>
Let 
A=m ∠BAC
B=m∠ABC
C=m∠ACB

we know that
A+B+C=180-----> equation 1
A=B+10-----> B=A-10------> equation 2
C+30=2A----> C=2A-30----> equation 3

substitute equation 2 and equation 3 in equation 1
A+[A-10]+2A-30]=180------> 4A=180+40-----> A=220/4-----> A=55°
B=A-10----> B=55-10-----> B=45°
C=2A-30-----> C=2*55-30----> C=80°

the answer is
m ∠BAC is 55°
m∠ABC is 45°
m∠ACB is 80°

<span>the answer in Portuguese

</span><span>Deixei
</span>A=m ∠BAC
B=m∠ABC
C=m∠ACB

<span>nós sabemos isso
</span>A+B+C=180-----> <span>equação 1
</span>A=B+10-----> B=A-10------> equação 2
C+30=2A----> C=2A-30----> equação 3

substitute equação 2 e equação 3 dentro equação 1
A+[A-10]+2A-30]=180------> 4A=180+40-----> A=220/4-----> A=55°
B=A-10----> B=55-10-----> B=45°
C=2A-30-----> C=2*55-30----> C=80°

<span>a resposta é
</span>m ∠BAC is 55°
m∠ABC is 45°
m∠ACB is 80°

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Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

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Increase in net working capital = $19,500

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<h3>Determination of Net Present Value (NPV):</h3>

Year      Cashflows        PV Factor     Present Value

0          -$1,061,500               1             -$1,061,500

1              $288,750          0.901           $260,164

2             $288,750          0.812          $234,465

3             $288,750          0.731            $211,076

3             $468,750          0.731          $342,656

Net present value                                -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

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