She will run and swim again on the same day after 21 days.
<u><em>Explanation</em></u>
Juanita runs every third day and swims every seventh day.
For finding the number of days she will run and swim again on the same day, we just need to find the <u>LCM(Least common multiple) of 3 and 7</u>.
As there is no common factor between 3 and 7, so for finding the LCM, we will just multiply 3 and 7.
So,
Thus, she will run and swim again on the same day after 21 days.
Ellipses, parabolas, and infinity. A parabola can be defined as the locus of points equidistant from a fixed point (called the focus) and a fixed line (called the directrix). But we know from projective geometry that parabolas and ellipses are essentially the same object.
Answer:
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The length of AC is 8
Explanation:
Given that ABC is a right angled triangle.
The measure of angle A is and
<u>Length of AC:</u>
Using the trigonometric ratios, we have,
where and
Substituting the values, we have,
Multiplying both sides of the equation by AC, we get,
Multiplying both sides by , we get,
Simplifying, we get,
Thus, the length of AC is 8