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3 years ago

A boat is moored at a dock, as shown in the figure.

Mathematics

2 answers:

Mamont248 [21]3 years ago

8 0

Answer: 12.3 ft.

Step-by-step explanation:

In the given picture we can see there is a right triangle with hypotenuse 15 ft.

Using trigonometry in the given right triangle, we have

$\cos35^{\circ}=\frac{\text{Side adjacent to}\ 35^{\circ}}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.81915204428=\frac{A}{15}\\\\\Rightarrow\ A=0.81915204428\times15\\\\\Rightarrow\ A=12.2872806642\approx12.3\ ft.$

Hence, the length of rope A = 12.3 ft.

Viefleur [7K]3 years ago

8 0

Answer:

Hello! The correct answer is 12.3 ft.

Step-by-step explanation:

I am just confirming!

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The answer is 5.

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Assume that the national credit card interest rate is 12.83 percent. A study of 62 college students finds that their average int

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Answer:

b) 95 percent confidence interval for this single-sample t test

[11.64, 16.36]

Step-by-step explanation:

Explanation:-

Given data a study of 62 college students finds that their average interest rate is 14 percent with a standard deviation of 9.3 percent.

Sample size 'n' =62

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sample standard deviation 'S' = 9.3

95 percent confidence interval for this single-sample t test

The values are $(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-}+t_{0.05}\frac{S}{\sqrt{n} })$ the 95 percent confidence interval for the population mean 'μ'

Degrees of freedom γ=n-1=62-1=61

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95 percent confidence interval for this single-sample t test

[11.64, 16.36]

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The cost of a magazine is $x and the cost of a newspaper is $(x -3). The total cost of 6 magazines and 9 newspapers is $51. Writ

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Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units. What is AF? 11 units 15 units 43 units 51

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see the attached figure to better understand the problem

we know that

The point G is where all medians intersect and is often described as the triangle's center of gravity or centroid. It is formed by the intersection of the medians. The centroid divides each median in a ratio of $\frac{2}{1}$

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$51 units$

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