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Ksivusya
3 months ago
11

Find the area of triangle ABC. A = 29.17°, b = 13.1 m, c = 8.7 m

Mathematics
1 answer:
AnnZ [12.3K]3 months ago
8 0

Response:

To determine this, use 3.

Step-by-step analysis:

Area = 1/2 * base * height * sin(angle)

= 1/2 * (13.1) * (8.7) * sin(29.17)

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The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 11t + 44 billion dollars (2
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Answer:

P'(t) = 3.2 t -11

To identify the critical point, we set the derivative equal to zero, resulting in:

3.2 t-11= 0

t = \frac{11}{3.2}= 3.4375

Calculating the second derivative yields:

P''(t) = 3.2 >0

This indicates that t = 3.4375 marks the minimum value for the function. Substituting this back into the original function gives us:

P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094

Thus, the minimum annual income is found at t = 3.43 (between the years 2008 and 2009), with a value of 25.094

Step-by-step explanation:

In this scenario, we have the function:

P(t) = 1.6 t^2 -11t +44

Where P represents the annual net income from 2007-2011, and 2 \leq t \leq 7

t is the number of years since early 2005

To discover the lowest income, we utilize the derivative given by:

P'(t) = 3.2 t -11

Setting this derivative to zero allows us to find the critical point, leading to:

3.2 t-11= 0

t = \frac{11}{3.2}= 3.4375

Calculating the second derivative reveals:

P''(t) = 3.2 >0

Therefore, we conclude that t = 3.4375 is the minimum value, substituting into the original function results in:

P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094

Thus, the minimum annual income occurs at t = 3.43 (between 2008 and 2009) with the value being 25.094

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A line contains points M(1, 3) and N(5, 0). What is the slope of MN? negative StartFraction 4 Over 3 EndFraction negative StartF
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(x1,x2), (y1,y2)

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