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blsea [12.9K]
3 years ago
7

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

Mathematics
1 answer:
LenKa [72]3 years ago
8 0
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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_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 

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DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the
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Answer:

Fraction of fire trucks = \frac{1}{4}

Total number of toy cars = 16

Step-by-step explanation:

Fraction of sports car = \frac{2}{3}

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So,

Fraction of pick up cars = \frac{1}{4}(\frac{1}{3})=\frac{1}{12}

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Fraction of fire trucks = \frac{1}{3}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}=\frac{1}{4}

That is Number of fire trucks = \frac{1}{4} ( Total number of toy cars )

Number of fire trucks = 4

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