Answer:
Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.
Step-by-step explanation:
Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:
πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.
But, it is given that the circular speed of the object is 90π inches per minute. So,
90π = 15πr
r = 6 inches
Since, diameter is the double of radius, d = 2r = 12 inches.
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Answer:
x = 14
Step-by-step explanation:
You want to solve for x, right?
(x-5)^(1/2)+5=2
You have it right so far.
(x - 5)^(1/2) = -3
(x - 5) = (-3)^2
x - 5 = 9
x = 9 + 5 = 14
The mathematical expression of the given complex number above is -5 + 4i. The conjugate of this complex number is that which has an opposite operation. The given is an addition operation. That is -5 - 4i. Therefore, the answer is the third among the choices.
4 embroidered uniforms= $5 fee for each 4 embroidered uniform and $25 for each uniform. 5 x 4 = 20. 25 x 4 = 100. 100 + 20= 125. He paid $120 for the embroidered uniform.
There are 120 ways to color the 4 rectangles
<h3>How to determine the number of ways?</h3>
The given parameters are:
Paints, n = 5
Rectangles, = 4
The number of ways to color the rectangles is

This gives

Apply the permutation formula

Evaluate the expression
Ways = 120
Hence, there are 120 ways to color the 4 rectangles
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