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:
34 minutes
Step-by-step explanation:
Given


Required
Number of minutes left to spend (x)
Since there's only 1 minute left to spend on every other call;
Time left = x * 1
Time left = x
The required can further be calculated using:

This gives:

Subtract 6 from both sides


<em>Hence, there are 34 minutes left to spend</em>
Answer:
84 arrangements
Step-by-step explanation:
First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.
342 + 330 = 672 total roses
Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.
672 / 8 = 84 arrangements
The answer is B. y = -cos(x)
Answer:
Delia started working at 9:50 A.M.
Step-by-step explanation:
We are given that:
Delia worked for 45 minutes on her oil painting.
She took a break at 10:35 A.M.
We have to determine at what time Delia start working on the painting.
35 minutes before 10:35 A.M. is 10 A.M.
Now, 45-35=10 minutes are left
now 10 minutes before 10 A.M. is 9:50 A.M.
Hence, Delia started working at 9:50 A.M.