Question

Which represents the value of c?95°AC=(3)sin(409)3.0cmsin(45°)

A. c=(3)sin(459)
B. c=sin(409)
C. c=(3)sin(459)sin(0)
D. c=sin(45°)(3)sin(409)

Answer 1

To find the value of c in the equation 95°AC=(3)sin(409)3.0cmsin(45°), we need to simplify the expression and use trigonometric identities. Dividing both sides by 95° gives us the value of c as (3√2sin(409) * 3.0cm) / 95°.

Step-by-step explanation:

The given equation is 95°AC=(3)sin(409)3.0cmsin(45°)

To find the value of c, we need to evaluate the expression.

Simplifying, we have:

95°AC = (3)sin(409) * 3.0cm * sin(45°)

Using the trigonometric identity sin(45°) = 1/√2, we can rewrite the equation as:

95°AC = (3)sin(409) * 3.0cm * 1/√2

Next, we can simplify further:

95°AC = 3√2sin(409) * 3.0cm

Finally, dividing both sides by 95° gives us the value of c:

c = (3√2sin(409) * 3.0cm) / 95°

So, the correct answer is c = (3√2sin(409) * 3.0cm) / 95°.