Converting radicals to mixed radicals

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Here are the answers:

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Find the length of DE. Round to the nearest hundredth. (Picture included)

LenKa [72]

Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent} =$

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}$

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

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3 years ago

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Andre45 [30]

Answer:

there are 9 possibilities I think

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2 years ago

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Fittoniya [83]

Answer:

onc

Step-by-step explanation:

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Gnesinka [82]

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Step-by-step explanation: l-7&!:

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2 years ago

Divide 56 in a ratio of 5.3

Varvara68 [4.7K]

In order to find what one part is in a ratio, you have to add the ratio up ( 5+ 3) and divide it by the number you're looking for (56). In this case, you get 56/8, which gives you 7. Therefore, each part is worth 7. You then have to multiply both sides of the ratio (5 and 3) by 7. 5x7= 35. 3x7= 21. Therefore, 56 divided into the ratio of 5:3 is 35:21

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3 years ago