Step-by-step explanation:
Congruent means the same. You can prove that the two triangles are congruent by the measurements and also if they look the same. You can also see if parallelograms are congruent by seeing if they are the same. They also have to mirror the image of the other. Your welcome :)
15/8 is already an improper fraction, if you want a proper fraction the answer is 1 and 7/8
Answer:
![xy^\frac{2}{9} = x*\sqrt[9]{y^2}](https://tex.z-dn.net/?f=xy%5E%5Cfrac%7B2%7D%7B9%7D%20%3D%20x%2A%5Csqrt%5B9%5D%7By%5E2%7D)
Step-by-step explanation:
Given
Required
The equivalent expression (see attachment)
We have:
Split
Apply the following laws of indices
![y^\frac{m}{n} = \sqrt[n]{y^m}](https://tex.z-dn.net/?f=y%5E%5Cfrac%7Bm%7D%7Bn%7D%20%3D%20%5Csqrt%5Bn%5D%7By%5Em%7D)
So, we have:
<em>Hence (d) is correct</em>
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
<h3>What is Linear Speed ?</h3>
As a body travels a circular path, it has both a linear speed and an angular speed. The rate it travels on that path is the linear speed, and the rate it turns around the center of that path is the angular speed. The linear speed (v) and angular speed (ω) are related by the radius (r) or v = rω .
Given that ;
Radius = r = 50 ft
Frequency = f = 2 rev/min
The angular speed is the product of the angular displacement for one complete turn, namely 2π radians per revolution, and the frequency (f). That is, the angular speed is equal to ω = 2πf. Substituting this into the formula for linear speed (v), we get:
v = r (2πf)
= (50 ft) ( 2π / rev) ( 2 rev/min)
= 200π ft/min
≈ 628.2 ft/min
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
Learn more about linear speed here ;
brainly.com/question/14413779
#SPJ1
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Answer:
b
Step-by-step explanation:
