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Common ratio, r is found by dividing the next term by the previous term
r =
= -3
you can see this value is true for any consecutive pairs of terms
also, multiply by -3 to get the next term
r =
you can see this value is true for any consecutive pairs of terms
also, multiply by -3 to get the next term
Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.
<h3>What is Pythagoras theorem?</h3>Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.
Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour.
- They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles.
- At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour.
Here, Thus, Florida Avenue is hypotenuse triangular path and the other two sides are Capitol Street and H Street. The distance of Florida Avenue is,
Thus, Jesse walks 2.0156 with 5 miles per hour. Thus, the time taken by him is
Mark plans to jog back the way they came which is 2.75 miles (1+1.75) long with speed of 12 miles per hour. Thus, the time taken by him is
Thus, Jesse take 0.4 hours while Mark take 0.23 hours to reach back to home. The statements which should Jesse consider when solving this situation is statement 2.
Learn more about the Pythagoras theorem here;
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