Answer:
68°
Step-by-step explanation:
Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.
If you're looking for an angle in between those, basically you have to choose an angle between 0 and 90°. any angle should work (such as 15°, 45°, 60°, 75°, etc.)
The recursive formula of the sequence is aₙ = aₙ₋₁ - 30
<h3>How to determine the
recursive formula of the sequence?</h3>
From the question, we have the following sequence that can be used in our computation:
67 ,37 ,7, -23, -53
In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ - 30
The above represents the recursive rule
Hence, the recursive rule of the function is aₙ = aₙ₋₁ - 30
Read more about sequence at
brainly.com/question/7882626
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Answer:
The grade of the tracks between these two stations is 2.65625%
Yes, this grade meet the rapid-transit rail standards
Step-by-step explanation:
Consider the provided information.
the maximum grade allowed between two stations in a rapid transit rail system 3.5%.
Between station A and station B, which are 320 ft apart, the tracks rise
ft.
![8 \frac{1}{2}=8.5](https://tex.z-dn.net/?f=8%20%5Cfrac%7B1%7D%7B2%7D%3D8.5)
Here we need to find the slope of the tracks, because the slope of the track is the gradient of the track.
![Slope=\frac{Rise}{Run}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7BRise%7D%7BRun%7D)
Here the rise is 8.5 ft and the run is 320 ft.
Substitute the value of rise and run as shown.
![Slope=\frac{8.5}{320}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B8.5%7D%7B320%7D)
![Slope=0.0265625](https://tex.z-dn.net/?f=Slope%3D0.0265625)
0.0265625×100=2.65625%
2.65625% is less than 3.5%
Hence, this grade meet the rapid-transit rail standards
Answer:
(20-3x)/2 GB
Explanation:
Total amount of data on my computer = 10GB
Total amount of data occupied by movies = x GB
If pictures take up half the amount of space that movies do, then;
Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x
If the remaining are music, the amount of space occupied by music will be expressed as shown;
Total space -(space occupied by movies + space occupied by pictures)
= 10 - (x+1/2 x)
Total amount of data occupied by music = 10 - (x+1/2 x) GB
On simplification;
= 10 - (x+1/2 x)
= 10-{(2x+x)/2}
= 10 - {3x/2}
= (20-3x)/2 GB
Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.