Answer:

Step-by-step explanation:
<h3><u>Given:</u></h3>
y = 12 cm
θ = 24°
Using trigonometric ratio, tan.
![\displaystyle \boxed{tan \theta = \frac{opposite}{adjacent} }\\\\tan \ 24 = \frac{x}{12} \\\\0.445 = \frac{x}{12} \\\\Multiply \ 12 \ to \ both \ sides\\\\0.445 \times 12 = x\\\\5.3 = x\\\\x = 5.3\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7Btan%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%7D%5C%5C%5C%5Ctan%20%5C%2024%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5C%5C%5C%5C0.445%20%3D%20%5Cfrac%7Bx%7D%7B12%7D%20%5C%5C%5C%5CMultiply%20%5C%2012%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C0.445%20%5Ctimes%2012%20%3D%20x%5C%5C%5C%5C5.3%20%3D%20x%5C%5C%5C%5Cx%20%3D%205.3%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
1,2 and 4 are conservatives
3 is not conservative
Step-by-step explanation:
We calculate the Curl F
Remember that:
Curl F = <
>
1. Curl F = <0,0,5-5> = <0,0,0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
2. Curl F = < 0, 0 ,0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>
= <0 ,0 , 10 +3xsin(y) + cos(y)<
How the field's divergence is not zero the vector field is not conservative
4. Curl F = <0, 0, 0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
Answer:
21
Step-by-step explanation:
Because h(3) times h(7) is equal to 21.
Hope it helps!
Answer:
forgive me if im wrong but i believe it is c
Step-by-step explanation:
That's we can solve by using a combination algorithm: