<u>To prove the trigonometric equation:</u>


We know that
, substitute this in place of 1.

Multiply each term of the first term with each term of the 2nd term.

Group like terms together.



= LHS
RHS = LHS

Hence proved.
1 5/8 = 13/
8
= 1 5/
8
= 1.625
Spelled result in words is thirteen eighths (or one and five eighths).
How do you solve fractions step by step?
Conversion a mixed number 1 5/
8
to a improper fraction: 1 5/8 = 1 5/
8
= 1 · 8 + 5/
8
= 8 + 5/
8
= 13/
8
To find new numerator:
a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/
8
= 8/
8
b) Add the answer from previous step 8 to the numerator 5. New numerator is 8 + 5 = 13
c) Write a previous answer (new numerator 13) over the denominator 8.
One and five eighths is thirteen eighths
Answer:
The second
Step-by-step explanation:
<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>
To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:

For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:

Now, substituting the equation for Ava into the equation for Kelly, we have:



To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:

For Kelly:

There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!