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1 year ago

10

Question 10 of 10

2 answers:

Sever21 [200]1 year ago

7 0

Answer:

$\sqrt{3}$ - D

Step-by-step explanation:

tan = $\frac{O}{A}$

In the picture, the hypotenuse is 2

The opposite is $\sqrt{3}$ because it is not forming touching 60° angle.

That then leaves the adjacent to be 1, therefore

tan 60 = $\frac{\sqrt{3}}{1} = \sqrt{3}$

Otrada [13]1 year ago

4 0

Answer:

√3

Step-by-step explanation:

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k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

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2 years ago

In the triangle below, what is the side opposite the 30 degree angle

Afina-wow [57]

$tan(30^o)= \frac{opposite }{adjacent} \ \ \ \ \to \\ \\ opposite = adjacent*tan(30^o)=3* \frac{ \sqrt{3} }{3} = \sqrt{3}$

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Step-by-step explanation:

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Step-by-step explanation:

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barxatty [35]

Answer:

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Step-by-step explanation:

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