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1. If sin 53 is close to 4/5 which is closest to the length of no
4cm
80cm
20cm
10cm
2/ A sine function can be used to model light waves. Green light has a wavelength of peridoe of about 510 nanometers (nm) which equation best models green light
y= sin pi/510 0
y = sin pi/255 0
y= sin 510/pi 0
y = sin 255/pi 0
1. The closest length to sin 53 being 4/5 is 80cm.
2. The equation that best models green light is y = sin 2pi/510 x.
2/ A sine function can be used to model light waves. Green light has a wavelength of peridoe of about 510 nanometers (nm) which equation best models green light
A. y= sin pi/510 0
B. y = sin pi/255 0
C. y= sin 510/pi 0
D. y = sin 255/pi 0
is the answer A, B, C, OR D
The answer is A, y = sin pi/510 x.
1. To determine the length of the unknown side (no) in the given right triangle, we can use the trigonometric relationship: sin(theta) = opposite/hypotenuse. In this case, sin(53) is close to 4/5.
Let's assign:
- sin(53) = 4/5
- opposite side = no
- hypotenuse = 4cm
To find no:
no = sin(theta) * hypotenuse
no ≈ (4/5) * 4
no ≈ 16/5
no ≈ 3.2 cm
So, the length of no is closest to 3.2 cm.
2. The equation for a sine function is in the form y = A * sin(Bx + C) + D, where A, B, C, and D are constants.
The given wavelength of green light is 510 nm. We can use the formula B = 2pi/lambda, where lambda represents the wavelength.
Let's plug in the given wavelength into the formula:
B = 2pi/510
Now, we can rewrite the equation to match the form y = sin(Bx):
y = sin(Bx)
y = sin((2pi/510)x)
Comparing the equation with the given options:
- y = sin(pi/510)x
- y = sin(pi/255)x
- y = sin(510/pi)x
- y = sin(255/pi)x
The equation that best models green light is y = sin((2pi/510)x), which is equivalent to y = sin(pi/255)x.
So, the equation that best models green light is y = sin(pi/255)x.