Sine theorem:
a/sin A=b/sin B=c/sin C
Data:
A=33º
a=19
b=14
19/ sin 33º=14 / sin B
sin B=(sin 33º *14) / 19
sin B=0.41312...;
B=arcsin 0.41312...=23.66º
A+B+C=180º
33º+23.66º+C=180º
C=180º-33º-23.66º
C=123.34º
a/Sin A=c/sin C
19 / sin 33º=c / sin 123.34º
c=(19 * sin 123.34º) / sin 33º
c=29.14
Answer: a=19; b=14, c=29.14; A=33º; B=23.66º; C=123.34º
Answer:
240
Step-by-step explanation:
The x^k term will be ...
(6Ck)(x^k)(4^(6-k))
For k=4, this is ...
(6C4)(x^4)(4^2) = 15·16·x^4 = 240x^4
The coefficient of x^4 is 240.
_____
nCk = n!/(k!(n-k)!)
Its b because blue plus white is 16, so blue and white combined have the same as black
Hope this helps :D
Given:
The two functions are:
![f(x)=x^2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2)
![g(x)=\left(\dfrac{1}{3}x\right)^2](https://tex.z-dn.net/?f=g%28x%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%5E2)
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If
, the function f(x) is horizontally stretched by factor
.
If
, the function f(x) is horizontally compressed by factor
.
We have,
![f(x)=x^2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2)
![g(x)=\left(\dfrac{1}{3}x\right)^2](https://tex.z-dn.net/?f=g%28x%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B3%7Dx%5Cright%29%5E2)
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
![k=\dfrac{1}{3}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B1%7D%7B3%7D)
Since
, the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
A. a pentagonal prism b. a square pyramid