We know that
cos²(theta)=0.21
sin²(theta)+cos²<span>(theta)=1
</span>sin²(theta)=1-cos²(theta)------> sin²(theta)=1-(0.21)-----> 0.79
sin(theta)=√0.79
sin(theta)=0.89
the answer is
the value of sin(theta) is 0.89
Answer:
(6,0)
Step-by-step explanation:
Answer:
Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.
Step-by-step explanation:
Given : The function 
To find : Which of the following describes the graph of
compared to the parent square root function?
Solution :
First we simplify the given expression


→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.
- Multiplying 2 in the function will give you the stretched by a factor of 2.
shows the reflection about y-axis i.e, (x,y)→(-x,y).
- If f(x)→f(x+b) then function is shifted left by unit b
⇒ g(x))→g(x+9) then function is shifted left by unit 9
Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .
So, Option D is correct.
Answer: 1/243
Step-by-step explanation: To simplify the problem shown, our first step is to convert the decimal in the exponent, -2.5, to a fraction.
-2.5 is the same thing as -2 and 1/2 so we have 9^-2 and 1/2 and -2 and 1/2 is the same thing as -5/2 so we have 9^-5/2.
The rest of my work is attached in the image provided.