Answer:
Step-by-step explanation:
Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,
Simplify,
Inverse operations,
Answer:
<h3>Rules for division with a mixed number and a whole number
</h3>
<h3>The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator 1.
</h3>
<h3> 2.Division of the fractions is converted into a multiplication operation by multiplying the improper fraction with the reciprocal of the whole number.
</h3>
<h3> 3.The resulting fraction, if required, is written as a mixed number in simplest form.</h3>
<h2>I WILL GIVE YOU EXAMPLES AND LET ME JUST HOPE YOU GET IT ;)</h2><h2 /><h3>Example1: </h3><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>213÷7
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 213 as an improper fraction
</h3><h3>
</h3><h3>213=(2×3+1)3=73; 7=71
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>The division is converted into multiplication as follows
</h3><h3>
</h3><h3>213÷7=73÷71=73×17
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>73×17=(7×1)(3×7)=721
</h3><h3>Step 4:
</h3><h3>
</h3><h3>721 can be simplified and written as follows
</h3><h3>
</h3><h3>721=13
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 213÷7=13</h3><h3 /><h3>example2: </h3><h3 /><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>5÷134
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 134 as an improper fraction
</h3><h3>
</h3><h3>134=(1×4+3)4=74; 5=51
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>5÷134=51÷74=51×47
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>51×47=(5×4)(1×7)=207
</h3><h3>Step 4:
</h3><h3>
</h3><h3>207 can be written as a mixed number as follows
</h3><h3>
</h3><h3>207=267
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 5÷134=267</h3><h3 /><h3>OK HOPE THIS HELPS YOU :')</h3><h3 /><h3>PLEASE MARK ME BRILLIANT :3 </h3><h3>THANK YOU -</h3>
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Answer:
60.2 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The width of the river is the side of a right triangle opposite the angle of 76°. The 15 m distance is the length of the side adjacent to the measured angle. So, we have ...
tan(76°) = width/(15 m)
Multiplying by 15 m, we get ...
width = (15 m)tan(76°) ≈ 60.2 m
The width of the river is about 60.2 m.
