Answer:
Step-by-step explanation:
<u>Triangles And Circles</u>
If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.
The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):
Since 50=2*25:
Thus the radius of the circle is:
Answer:
Mekenzie travels at a faster rate.
Step-by-step explanation:
Given that Mekenzie skateboards at a rate of 3 ½ miles every ⅓ hour, and Josh skateboards at a rate of 2 ⅔ every 4 hours:
It is important to have the same unit of measure in these types of word problems. We must convert Josh's travel rate to match Mekenzie's travel rate.
<h3>Mekenzie:
</h3>
"Every ⅓ hour" means 20 minutes because 1 hour = 60 minutes. Hence, ⅓ of 60 minutes = 20 minutes.
3 ½ miles every ⅓ hour = 3.5 miles for every 20 minutes.
<h3>Josh: </h3>
2 ⅔ every 4 hours:
2 ⅔ or 2.666667 = 8/3 miles
8/3 miles every 4 hours = 8/3 ÷ 4 hours = 0.1667 miles for every 1 hour
0.1667 miles for every 1 hour = 0.1667 ÷ ⅓ hour = 0.556 miles every ⅓ hour.
0.556 miles every ⅓ hour = 0.556 miles for every 20 minutes.
Therefore, Mekenzie travels faster than Josh.
3/4 to the second power would be 0.1807
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826