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Mekhanik [1.2K]
3 years ago
15

A boat heading out to sea starts out at Point A A, at a horizontal distance of 862 feet from a lighthouse/the shore. From that p

oint, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 15 ∘ ∘ . At some later time, the crew measures the angle of elevation from point B B to be 8 ∘ ∘ . Find the distance from point A A to point B B. Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

The boat traveled 781.5 feet from point AA to point BB

Step-by-step explanation:

Find the height of the small triangle then find the base of the big triangle then subtract the two answers to find the distance between a and b

:)

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g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa
adoni [48]

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is  \sigma =  0.0133

Step-by-step explanation:

From the question we are told that

   The upper specification is  USL  =  1.68 \ mm

    The lower specification is  LSL  = 1.52  \  mm

     The sample mean is  \mu =  1.6 \  mm

     The standard deviation is  \sigma =  0.03 \ mm

Generally the capability index in mathematically represented as

             Cpk  =  min[ \frac{USL -  \mu }{ 3 *  \sigma }  ,  \frac{\mu - LSL }{ 3 *  \sigma } ]

Now what min means is that the value of  CPk is the minimum between the value is the bracket

          substituting value given in the question

           Cpk  =  min[ \frac{1.68 -  1.6 }{ 3 *  0.03 }  ,  \frac{1.60 -  1.52 }{ 3 *  0.03} ]

=>      Cpk  =  min[ 0.88 , 0.88  ]

So

         Cpk  = 0.88

Now from the question we are asked to evaluated the value of  standard deviation that will produce a  capability index of 2

Now let assuming that

         \frac{\mu - LSL  }{ 3 *  \sigma } =  2

So

         \frac{ 1.60 -  1.52  }{ 3 *  \sigma } =  2

=>    0.08 = 6 \sigma

=>     \sigma =  0.0133

So

        \frac{ 1.68  - 1.60 }{ 3 *  0.0133 }

=>      2

Hence

      Cpk  =  min[ 2, 2 ]

So

    Cpk  = 2

So    \sigma =  0.0133 is  the value of standard deviation required

3 0
3 years ago
I. The temperature is -3º. An hour later, it drops 6º and 2 hours later,
sineoko [7]

Answer:

-3 - 6 = -9

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Step-by-step explanation:

6 0
4 years ago
Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri's accou
tester [92]

It will take 54 days for Teri's account to earn an amount of $5000.

<h3>What is compound interest?</h3>

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.

It is given by formula

A = p*e^{r*t}

where:

A is final amount

p is principal amount

r is rate of interest and

t, is time period

Given: A= $5000, p=$1500, r=2.25% = 0.0225

To find: time period to get compounded amount

5000=1500×e^{0.0225*t}

e^{0.0225t} = \frac{10}{3}

0.0225t = ㏑ (\frac{10}{3})

t = 53.5099 ≈ 54 days  

Learn more about compound interest here:

brainly.com/question/3989769

#SPJ1

7 0
2 years ago
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