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= -2
Step-by-step explanation:
7x-3=4x-9
3x-3= -9
3x= -6
x= -2
ET is tangent to circle A so ET is perpendicular to AT
So <ATE = 90°
Given <TNG = 35°
<NET = <ATE - <TNG
= 90° - 35°
= 55°
Answer is 55°
Let us assume the gas bill of Paul in February = x dollars
Then
Electric bill of Paul for the month of February = (x/2) + 3
Amount of Electricity bill of Paul for the month of February = $92
then we can write the equation as
(x/2) + 3 = 92
x/2 = 92 - 3
x/2 = 89
x = 89 * 2
= 178 dollars
So the gas bill of Paul in February is $178. I hope this is the answer you were looking for.
Step-by-step explanation:
Assuming that the company only consists of men and women, then the ratio of women to the total number of employees in the company is 5 : (7 + 5) = 5 : 12.
Since there are 140 women working for the company, there are 140 * 12/5 = 336 employees.
