The answer is 5/6 because 1/2 a chance to get a blue and 1/3 green so you add that together to get 5/6.
The equation of the new function is ![g(x)= cos4 x+1](https://tex.z-dn.net/?f=g%28x%29%3D%20cos4%20x%2B1)
Explanation:
The Parent function is ![f(x)=cos x](https://tex.z-dn.net/?f=f%28x%29%3Dcos%20x)
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by
![f(x)=a \cos b(x-c)+d](https://tex.z-dn.net/?f=f%28x%29%3Da%20%5Ccos%20b%28x-c%29%2Bd)
Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence,
and ![d=1](https://tex.z-dn.net/?f=d%3D1)
Substituting these values in the formula, we have,
![g(x)=cos4x+1](https://tex.z-dn.net/?f=g%28x%29%3Dcos4x%2B1)
Thus, the equation of the new function is ![g(x)= cos4 x+1](https://tex.z-dn.net/?f=g%28x%29%3D%20cos4%20x%2B1)
Answer:
<u>a = 13</u>
Step-by-step explanation:
We should know that: The sum of the interior angles of the triangle = 180°
Given the measure of the angles: (6a - 2) , (5a - 13) and (5a - 13)
So,
(6a - 2) + (5a - 13) + (5a - 13) = 180°
16 a - 28= 180 ⇒ Add 28 to both sides
16 a = 180 + 28 = 208 ⇒ Divide both sides by 16
a = 208/16 = 13
Answer:
360
Step-by-step explanation:
24 divided by 6 = 4 which means each foot = 4 foot shadow
90 x 4 =360
5/9 and 11/21
LCM of the denominators is 63
changing their denominators to all have a common denominator of 63:
5(7)/63 = 35/63
11(3)/63 = 33/63
from the above;
5/9 > 11/21.