Answer:
x=3
Step-by-step explanation:
plug F(2) for x
2(2)^2-5
2^2=4
2(4)-5=x
8-5=3
Answer: 0, π, 2π
Nevertheless, that is not an option. I see two possibilities: 1) the options are misswirtten, 2) the domain is not well defined.
If the domain were 0 ≤ θ < 2π, then 2π were excluded of the domain ant the answer would be 0, π.
Explanation:
1) The first solution, θ = 0 is trivial:
sin (0) - tan (0) = 0
0 - 0 = 0
2) For other solutions, work the expression:
sin(θ) + tan (-θ) = 0 ← given
sin (θ) - tan(θ) = 0 ← tan (-θ) = tan(θ)
sin(θ) - sin (θ) / cos(θ) = 0 ← tan(θ) = sin(θ) / cos(θ)
sin (θ) [1 - 1/cos(θ)] = 0 ← common factor sin(θ)
⇒ Any of the two factors can be 0
⇒ sin (θ) = 0 or (1 - 1 / cos(θ) = 0,
sin(θ) = 0 ⇒ θ = 0, π, 2π
1 - 1/cos(θ) = 0 ⇒ 1/cos(θ) = 1 ⇒ cos(θ) = 1 ⇒ θ = 0, 2π
⇒ Solutions are 0, π, and 2π
In fact if you test with any of those values the equation is checked. The only way to exclude one of those solutions is changing the domain.
Answer:
1.6
Step-by-step explanation:
4.4 - 2.8 = 1.6
6 - 4.4 = 1.6
7.6 - 6 = 1.6
We must find the radius so we can plug this into the formula for surface area.
Circumference =
We are going to plug this in as our radius for the most accurate answer.
The surface area of a sphere is
Surface Area =
≈ 451.93 units
The possibility it’s low because the yellow marbles have 9 nd the blue has 8 and the red one has 6 so green will be the second to last option
