Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

8 0

Answer:

<u><em>16 : 2 + 3 </em></u> (remember pemdas)

Step-by-step explanation:

Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.

16 : 2 + 3 = 11

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Notice the picture below

you have two triangles, and you have the opposite and adjacent sides

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

\\ \quad \\\\
% tangent
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is Ms Tangent, so lets ask her some

$\bf tan(29^o)=\cfrac{x}{y}\implies y\cdot tan(29^o)=x
\\\\\\
tan(25^o)=\cfrac{x}{100-y}\implies (100-y)tan(25^o)=x\\\\
-----------------------------\\\\
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solve for "y"