Answer:
- sin(θ) = (√21)/5
- cos(θ) = 2/5
Step-by-step explanation:
You want the exact values of sine and cosine of the angle whose terminal point is at x=2/5 on the unit circle in the first quadrant.
<h3>Pythagorean identity</h3>
The coordinates of a point on the unit circle are (cos(θ), sin(θ)). You already know that the x-coordinate is 2/5, so ...
cos(θ) = 2/5
The Pythagorean identity in trigonometric terms is ...
sin²(θ) +cos²(θ) = 1
Then the sine of the angle is ...
sin(θ) = √(1 -cos²(θ))
sin(θ) = √(1 -(2/5)²) = √((25 -4)/25)
sin(θ) = (√21)/5
The exact values of sine and cosine are ...
- sin(θ) = (√21)/5
- cos(θ) = 2/5
3+2 = 5
30 / 5 = 6
so
3 x 6 = 18
2 x 6 = 12
answer
ratio 3: 2 =18:12
Answer:
The volume of a rectangular prism is
V = l · w · h
V= 252 cm3
h= 3 cm
l=5+W
W=x then l=5+x
V=(5+x)*x*3=252
3x^2+15x=252 cm3
the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x^2 +15x=252 cm3
for width=7.5 cm
3x^2 +15x=3*(7.5) ^2+15*7.5= 281.25 cm3
281.25>252
it is not possible that the width is 7.5 cms
Step-by-step explanation:
Answer:
It is reasonable
Step-by-step explanation:
23 degrees Fahrenheit converts directly to -5 degrees Celsius