Question

Solve for t.
StartFraction 13.14 Over 2.83 EndFraction equals StartFraction 7.98 Over t EndFraction
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Part 1
tequals
  
enter your response here
​(Round to 4 decimal​ places.)

Answer 1

To solve for \( t \) in the equation

\[
\frac{13.14}{2.83} = \frac{7.98}{t},
\]

we can cross-multiply to eliminate the fractions. This gives us:

\[
13.14 \cdot t = 7.98 \cdot 2.83.
\]

Next, we calculate \( 7.98 \cdot 2.83 \):

\[
7.98 \cdot 2.83 \approx 22.5584.
\]

Now, we can substitute this value back into our equation:

\[
13.14 \cdot t = 22.5584.
\]

To isolate \( t \), we divide both sides by \( 13.14 \):

\[
t = \frac{22.5584}{13.14}.
\]

Now we calculate \( \frac{22.5584}{13.14} \):

\[
t \approx 1.7177.
\]

Thus, rounding to four decimal places, we get:

\[
t \approx 1.7177.
\]

So the final answer is:

\[
\boxed{1.7177}.
\]