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earnstyle [38]
4 years ago
14

Which is the height of the lighthouse?

Mathematics
2 answers:
MaRussiya [10]4 years ago
5 0

Answer:

Step-by-step explanation:

tan 26° = \frac{x}{90} ⇒ x = 90tan26° ≈ <em>43.9 ft.</em> (This answer for the picture)

sin 26° = \frac{h}{100} ⇒ h = 100sin26° ≈ <em>43.9 ft</em> (This answer for the text)

h = √(100² - 90²) ≈ <em>43.589 ft.</em> (Pythagorean theorem)

insens350 [35]4 years ago
5 0
43ft is the answer I believe your looking for
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How can you select a number between 1 and 1000, where every number has the same likelihood of being selected? please help me i n
aleksandr82 [10.1K]

Answer:

You can do this by rolling dice 4 times

Step-by-step explanation:

If you roll a fair dice 4 times and record the findings and their orders, you can generate 6^4= 1296 possible outcomes. You can pick 1-1000 as numbers and then re-roll all the dice if the number generate 1001-1296  

To translate the dice result into a number you have to multiply the dice result as following:

1st roll multiplied by 6^0 = 1

2nd roll multiplied by 6^1 = 6

3rd roll multiplied by 6^2= 36

4th roll multiplied by 6^3= 216

Let's say you roll 1, 2, 3, 4

The number generated will be: 1*1 + 2 *6 + 3 *36 + 4 *216 = 985

6 0
3 years ago
How to calculate the rise and run of a slope (4,-1) and (-2,3)
astra-53 [7]
m =  \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }
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m =  \frac{4}{2}
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8 0
4 years ago
Dara buys a small drink for $1.75. A large drink costs 1.6 times as much as a small drink. How much does a large drink cost?
77julia77 [94]
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3 0
3 years ago
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A pipe that's 36 inches long needs to be cut into 2 and one forth inches long pieces. how may pieces can be cut from this length
PolarNik [594]
16 pieces may be cut. This is because we need to divide 36 by 2 and 1/4 to find how many pieces hat can be cut. First, we need to change everything into a fraction (or improper fraction). 2 and 1/4 = 9/4 (if you need help trying to find out how to get this, just ask). Then, since we are doing division, we flip the 9/4 around to get 4/9. 36 times (it's not dividing anymore since we flipped the 9/4) 4/9 = 16 pieces. I hope this helps! :D
7 0
4 years ago
"Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given st
11111nata11111 [884]

Answer:

The error E = ± 4.04 %

Step-by-step explanation:

Solution:-

- The sample data is used to estimate the population proportion ( p ).

- The success p^ = success percentage = 40 %

- The confidence interval CI = 98%

- The sample size n = 800

- The margin of error E:

- The margin of error "E" for estimation of population proportion ( p ) is given by:

                          E = z-critical*\sqrt{\frac{p~ ( 1 - p~ )}{n} }

Where, Z-critical value is defined by the significance level:

                         P ( Z < Z-critical ) = α / 2

Where, α : Significance level

                          α = 1 - CI

                         P ( Z < Z-critical ) = (1 - 0.98) / 2

                         P ( Z < Z-critical ) = 0.01  

                         Z-critical = 2.33

- The error E of estimation is:

                        E = 2.33*\sqrt{\frac{0.4 ( 1 - 0.4 )}{800} }\\\\E = 0.04035

- The error E = ± 4.04 %

6 0
3 years ago
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