The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile? A-10.6 B-4.5 C-3 D-6.4
Answers
Answer:
10.9 miles
Step-by-step explanation:
distance of the park to the mall = distance of the mall from the city centre + distance of the park from the city centre
this question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypothenuse
distance of the mall from the city centre = 5² + 4²
25 + 16 = 41
√41 = 6.403124 miles
distance of the park from the city centre = 4² + 2²
16 + 4 = 20
√20 = 4.472136 miles
Total distance = 6.403124 miles + 4.472136 miles = 10.875260
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth is 7. it is greater than 5. So, 1 is added to the tenth term. this gives 10.9 miles
Please check the attached images for a better understanding of how the question was solved.
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