Answer:
A
Step-by-step explanation:
2x2.5x3= 15
2x2.5x4.5=22.5
2.5x3x4=30
2.5x2x4=20
7(12 + x)
84 + 7x
Hope my answer helps!
Answer:
1 / 39
Step-by-step explanation:
There are 13 diamond, 4 7s' in 52 cards ( one of 7 included in 13 diamonds)
getting a diamond or a 7: (13 + 4 - 1) /52 = 16 / 52 = 4 / 13
pick November: 1 / 12
4 / 13 * 1 / 12 = 4 / 156 = 1 / 39
Answer:
√(4/5)
Step-by-step explanation:
First, let's use reflection property to find tan θ.
tan(-θ) = 1/2
-tan θ = 1/2
tan θ = -1/2
Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.
Now let's look at the problem we need to solve:
sin(5π/2 + θ)
Use angle sum formula:
sin(5π/2) cos θ + sin θ cos(5π/2)
Sine and cosine have periods of 2π, so:
sin(π/2) cos θ + sin θ cos(π/2)
Evaluate:
(1) cos θ + sin θ (0)
cos θ
We need to write this in terms of tan θ. We can use Pythagorean identity:
1 + tan² θ = sec² θ
1 + tan² θ = (1 / cos θ)²
±√(1 + tan² θ) = 1 / cos θ
cos θ = ±1 / √(1 + tan² θ)
Plugging in:
cos θ = ±1 / √(1 + (-1/2)²)
cos θ = ±1 / √(1 + 1/4)
cos θ = ±1 / √(5/4)
cos θ = ±√(4/5)
Since θ is in the fourth quadrant, cos θ > 0. So:
cos θ = √(4/5)
Or, written in proper form:
cos θ = (2√5) / 5
Answer:
because see a time
Step-by-step explanation:
