Answer:
4 inches.
Step-by-step explanation:
24 32
---- = -----
3 x
Cross multiply.
24x = (32)(3) = 96.
96 / 24 = 4.
Hope this helped and good luck! (:
Answer:
The 38th term of 459,450,441,.. will be:
![a_{13}=351](https://tex.z-dn.net/?f=a_%7B13%7D%3D351)
Step-by-step explanation:
Given the sequence
![459,450,441,..](https://tex.z-dn.net/?f=459%2C450%2C441%2C..)
An arithmetic sequence has a constant difference 'd' and is defined by
![a_n=a_1+\left(n-1\right)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%5Cleft%28n-1%5Cright%29d)
computing the differences of all the adjacent terms
![450-459=-9,\:\quad \:441-450=-9](https://tex.z-dn.net/?f=450-459%3D-9%2C%5C%3A%5Cquad%20%5C%3A441-450%3D-9)
so
![d=-9](https://tex.z-dn.net/?f=d%3D-9)
The first element of the sequence is
![a_1=459](https://tex.z-dn.net/?f=a_1%3D459)
so the nth term will be
![a_n=-9\left(n-1\right)+459](https://tex.z-dn.net/?f=a_n%3D-9%5Cleft%28n-1%5Cright%29%2B459)
![a_n=-9n+468](https://tex.z-dn.net/?f=a_n%3D-9n%2B468)
Putting n=38 to find the 38th term
![a_n=-9n+468](https://tex.z-dn.net/?f=a_n%3D-9n%2B468)
![a_{13}=-9\left(13\right)+468](https://tex.z-dn.net/?f=a_%7B13%7D%3D-9%5Cleft%2813%5Cright%29%2B468)
![a_{13}=-117+468](https://tex.z-dn.net/?f=a_%7B13%7D%3D-117%2B468)
![a_{13}=351](https://tex.z-dn.net/?f=a_%7B13%7D%3D351)
Therefore, the 38th term of 459,450,441,.. will be:
![a_{13}=351](https://tex.z-dn.net/?f=a_%7B13%7D%3D351)
Answer:
57.5 degrees
Step-by-step explanation:
Assuming this is a triangle
a is adjacent is ∠B
b is opposite of ∠B
Use the inverse tangent equation: ![tan^{-1} (11/7)](https://tex.z-dn.net/?f=tan%5E%7B-1%7D%20%2811%2F7%29)
This equals to 57.52880771
Answer:
A 3x^12 - 2x^8 + x^5
Step-by-step explanation:
Degree of a polynomial:
The degree of a polynomial is given by the highest exponent of x.
In this question:
Option A: 12th degree
Option B: 1st degree
Option C: 3rd degree
Option D: 3rd degree
So the answer is given by option A.