The answer is most likely 9.42cm:3cm.
Mary's house is approximately 49.73 miles from her grandmother's house.
The distances the three drove were;
Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.
Explanation:
- The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
- Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
- Nancy drove √2,840 miles = 53.2916 miles.
- So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.
Step-by-step explanation:
Conversion a mixed number 5 3/2
to an improper fraction: 5 3/2 = 5 3/2
= 5 · 2 + 3/2
= 10 + 3/2
= 13/2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/2
= 10/2
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Five and three halfs is thirteen halfs
Conversion a mixed number 3 6/7
to an improper fraction: 3 6/7 = 3 6/7
improper fraction: 3 6/7 = 3 6/7
3 · 7 + 6/7 = 21 + 6/7 =27/7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7
= 21/7
b) Add the answer from previous step 21 to the numerator 6. New numerator is 21 + 6 = 27
c) Write a previous answer (new numerator 27) over the denominator 7.
Three and six sevenths is twenty-seven sevenths
Multiple:
13/2 * 27/7 = 13/2 · 27/7 = 351/14
The answer to 89+27+11 is 127
905 whatever that is (I forgot)