Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The times are given as follows:
- Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.
The ratios are as follows:
Turtle/Squirrel = Squirrel/Pigeon.
Hence:
![\frac{3}{x} = \frac{x}{\frac{1}{48}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%7D%20%3D%20%5Cfrac%7Bx%7D%7B%5Cfrac%7B1%7D%7B48%7D%7D)
![x^2 = \frac{3}{48}](https://tex.z-dn.net/?f=x%5E2%20%3D%20%5Cfrac%7B3%7D%7B48%7D)
![x^2 = \frac{1}{16}](https://tex.z-dn.net/?f=x%5E2%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
![x = \sqrt{\frac{1}{16}}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B16%7D%7D)
x = 1/4.
It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
5
Step-by-step explanation:
The Pythagorean theorem is: a^2 + b^2 = c^2
The hypotenuse (the diagonal line) is c, while the base and side are a and b.
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
the square root of 25 is 5, so c would be 5
Answer:
8/17
Step-by-step explanation:
90 degree angles would insure this.