Answer:
First, you write an explicit formula then plug in the value of n in the formula with the term number you are trying to find, in this case the 13th term.
The steps are in the pictures
the final answer is 121 btw
Answer:
The Value of
.
Step-by-step explanation:
We have Named the figure please find the attachment for your reference.
Given:
PR = y
QR = a
RS = b
PS = z
PQ = x
QS = 15
∠P = 90°
∠R = 90°
∠Q = 60°
∠S = 30°
We need to find the Value of 'a'.
Solution:
Now we know that:
In Δ PQS
∠P = 90°
∠S = 30°
Now we know that;
![sin\ \theta = \frac{opposite\ side}{Hypotenuse}](https://tex.z-dn.net/?f=sin%5C%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%5C%20side%7D%7BHypotenuse%7D)
![sin \ S= \frac{PQ}{QS}](https://tex.z-dn.net/?f=sin%20%5C%20S%3D%20%5Cfrac%7BPQ%7D%7BQS%7D)
Substituting the given values we get;
![sin\ 30\°=\frac{x}{15}](https://tex.z-dn.net/?f=sin%5C%2030%5C%C2%B0%3D%5Cfrac%7Bx%7D%7B15%7D)
Now we know that;
![sin\ 30\° = \frac12](https://tex.z-dn.net/?f=sin%5C%2030%5C%C2%B0%20%3D%20%5Cfrac12)
So we can say that;
![\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7Bx%7D%7B15%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B15%7D%7B2%7D)
Now In Triangle PQR.
∠R = 90°
∠Q = 60°
So we can say that;
![Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\](https://tex.z-dn.net/?f=Cos%20%5Ctheta%20%3D%20%5Cfrac%7Badjacent%20%5C%20Side%7D%7BHypotenuse%7D%5C%5C)
![Cos\ Q = \frac{QR}{PQ}](https://tex.z-dn.net/?f=Cos%5C%20Q%20%3D%20%5Cfrac%7BQR%7D%7BPQ%7D)
Substituting the given values we get;
![cos 60\°= \frac{a}{x}](https://tex.z-dn.net/?f=cos%2060%5C%C2%B0%3D%20%5Cfrac%7Ba%7D%7Bx%7D)
Now we know that;
![cos 60\°= \frac12](https://tex.z-dn.net/?f=cos%2060%5C%C2%B0%3D%20%5Cfrac12)
![x=\frac{15}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B15%7D%7B2%7D)
So substituting the values we get;
![\frac{1}{2}=\frac{a}{\frac{15}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7Ba%7D%7B%5Cfrac%7B15%7D%7B2%7D%7D)
By Using Cross Multiplication we get;
![a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}](https://tex.z-dn.net/?f=a%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Cfrac%7B15%7D%7B2%7D%5C%5C%5C%5Ca%3D%5Cfrac%7B15%7D%7B4%7D)
Hence The Value of
.
To start with, we know there’s a definite amount of parking spaces in all(2,250) and we also know each level(6 in all) had 15 rows of parking spaces.
Equation
A = Parking spots per row
A = 2,250 Divided by(6 levels times 15 rows)
A= 2,250 Divided by 90
A = 25
The correct answer is 25 parking spots per row
To check this answer we can do
25 spots per row, Times 15 rows per level, Times the total amount of levels (6)
= the total amount of parking spots
25*15*6= 2,250
True
This confirms this answer as correct. Hope this helps.
Answer:
GPA stands for grade point average. the highest you can get is 4.5. There is no such things as a 95 GPA. To calculate, take the number or point per grade you have, A is 4.0, B is 3.0, C is 2.0, and so on, and add them all up and then divide by the number of classes you are taking.
Step-by-step explanation: