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Paraphin [41]
2 years ago
12

From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea

Mathematics
1 answer:
Andrei [34K]2 years ago
5 0

Answer:

  • Lighthouse= 160 ft
  • Theta= 24
  • We want to find the length so we will do
  1. tan(24)= 160/x
  2. x= 359 feet
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He is 187cm tall how many metres is this
k0ka [10]
He is one meter and 87 centimeters tall. 
6 0
2 years ago
Examine the fraction 3+2i4−2i. Which expression is the first step to simplify the fraction? 3+2i4−2i⋅3−2i3−2i
umka2103 [35]

Answer:

The correct answer is the last option.

Step-by-step explanation:

When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.

For the expression:

\frac{3 + 2i}{4-2i
}

The denominator conjugate is 4 + 2i

When multiplied, the denominator is:

4 ^ 2 -4i ^ 2 = 16 -4 (-1) = 20

4 0
3 years ago
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liubo4ka [24]

Answer:I do not speak

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4 0
3 years ago
(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=
Luda [366]

Answer:

The 99% confidence interval is  71.67 < \mu < 78.33

Step-by-step explanation:

From the question we are told that

     The sample  size  is  n  =  15

      The  sample  mean is  \= x  =  75

        The  standard deviation is  s =  5

 Given that confidence is  99%  then the level of significance is mathematically represented as

              \alpha  =  100 -  99

             \alpha  =  1\%

             \alpha  =  0.01

Next we obtain the critical values of  \frac{ \alpha }{2} from the normal distribution table

   The  value is

                  Z_{\frac{ \alpha }{2} } = 2.58

Generally the margin for error is mathematically represented as

            E =  Z_{\frac{ \alpha }{2} } *  \frac{ s}{ \sqrt{n} }

=>         E =  2.58  *  \frac{ 5}{ \sqrt{15} }

=>         E =  3.3307

   The  99% confidence interval is mathematically represented as

             \= x  -E  <  \mu  <  \= x  +E

=>          75 -  3.3307 <  \mu

=>          71.67 < \mu < 78.33

3 0
3 years ago
Please look at the picture. I answered b but it was incorrect. <br> Please help.
LuckyWell [14K]

9514 1404 393

Answer:

  d.  14 -3x

Step-by-step explanation:

If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.

  3x +y = 14 . . . . . . first equation

  y = 14 -3x . . . . . .  subtract 3x from both sides

This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.

  y = 14 -3x . . . . matches D

6 0
3 years ago
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