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BartSMP [9]
3 years ago
12

Elisa ran a total of 8 4/5 miles on Saturday and Sunday. If she ran 5 1/4 miles on Saturday, how many miles did she run on Sunda

y?
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer: 3\dfrac{11}{20}\ \text{miles}

Step-by-step explanation:

Given

Elisa run a total of 8\frac{4}{5} miles on Saturday and Sunday.

If she runs 5\frac{1}{4} miles on Saturday

Then, distance traveled on Sunday is given by

\Rightarrow 8\dfrac{4}{5}-5\dfrac{1}{4}\\\\\Rightarrow \dfrac{44}{5}-\dfrac{21}{4}\\\\\Rightarrow \dfrac{44\times 4}{5\times 4}-\dfrac{21\times 5}{4\times 5}\\\\\Rightarrow \dfrac{71}{20}\\\\\Rightarrow 3\dfrac{11}{20}\ \text{miles}  

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The correct option is (B)

<h3>What is the triangle?</h3>

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

<h3>According to the given information:</h3>

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°

<h3>From the isosceles triangle:</h3>

h = 4sin30

h = 4(1/2)

h = 2 miles

<h3>From Pythagoras theorem:</h3>

x² = 4² - h² = 4² - 2²

x = √12

x = 3.46 miles

Total distance = 2×3.46  = 6.9 miles

Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ4

I understand that the question you are looking for :

Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?

A) 4.3 miles. .

B) 6.9 miles

C) 8.0 miles

D) 5.7 miles

4 0
2 years ago
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