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Angelina_Jolie [31]
1 year ago
9

Write the rate as a fraction in the simplest form $1680 for 8 weeks 236 miles on 12 gallons of gasoline

Mathematics
1 answer:
Marta_Voda [28]1 year ago
7 0

The question asked to write the rate as a fraction in simplest form

\text{ \$1,680 for 8 w}eeks

To write the above relation in a fraction, we will have

\begin{gathered} =\frac{1680}{8} \\  \end{gathered}

Dividing to the lowest term, we will have

\begin{gathered} =\frac{210}{1} \\ whichis\text{ \$210 for 1 we}ek \end{gathered}

The question asked to write the rate as a fraction in simplest form

236\text{ miles on 12 gallons of gasoline}

To write the above relation in a fraction, we will have

=\frac{236}{12}

To express as a fraction in its lowest terms will be

\begin{gathered} =\frac{59}{3} \\ \text{which represents 59 miles for 3 gallons} \end{gathered}

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Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

\sf\longrightarrow sin^2\theta + cos^2\theta = 1

Imagine a right angled triangle with one of its acute angle as \theta .

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\sf\longrightarrow h^2 = p^2+b^2 \dots (i)

Where the symbols have their usual meaning.

Now , taking LHS ,

\sf\longrightarrow sin^2\theta +cos^2\theta

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\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\

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