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3 years ago

the radius of the circular lensof a magnifying glass is 4 centimeters whatis the area in square centimeters of the glass

Mathematics

1 answer:

anygoal [31]3 years ago

5 0

The area of a circle is pi times radius^2

So if you use 3.14 x 16, it gives you approximately 50.264

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Convert 17/34 to decimal using long division

Agata [3.3K]

Answer:

Step-by-step explanation:

$\frac{17}{34}=\frac{1}{2}=0.5$

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3 years ago

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3 years ago

HELPPP! Last attempt geometry!!

Helen [10]

Answer:

x1 = 2, y1 = 0

x2 = 2, y2 = 6

Step-by-step explanation:

Each pair of coordinates is (x, y). The first pair is (x1, y1). The second pair is (x2, y2). This means you have ...

x1 = 2, y1 = 0

x2 = 2, y2 = 6

_____

<em>Additional comment</em>

The slope of the line through these points is ...

m = (y2 -y1)/(x2 -x1) = (6 -0)/(2 -2) = 6/0 = undefined

The line through these points is a vertical line with equation x = 2.

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3 years ago

Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

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2 years ago

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