G is not necessarily the midpoint of EX, G could be at -3 or +9 and X could be at -9 or +15. If G and X are on the same side of E, then G is at the midpoint of EX, if they are on opposite sides, G is not the midpoint of EX.
Answer:
20%
Step-by-step explanation:
Probability=5/(5+12+8)*100=5/25*100=20%
Answer:
Step-by-step explanation:
sin(θ+30∘)=cos50∘
⟹cos(90∘−(θ+30∘))=cos50∘
⟹cos(60∘−θ)=cos50∘
⟹cos(π3−θ)=cos5π18
Writing the general solution as follows
π3−θ=2nπ±5π18
⟹θ=π3−(2nπ±5π18)
Method 2: ,
sin(θ+30∘)=cos50∘
⟹sin(θ+30∘)=sin(90∘−50∘)
⟹sin(θ+30∘)=sin40∘
⟹sin(θ+π6)=sin2π9
Writing the general solution as follows
θ+π6=2nπ+2π9
⟹θ=2nπ+2π9−π6
⟹θ=2nπ+π18
or
θ+π6=(2n+1)π−2π9
⟹θ=2nπ+π−2π9−π6
⟹θ=2nπ+11π18
Hint 1: sin(a)=sin(b) iff a−b=2kπ or a+b=(2k+1)π for some k∈Z.
Hint 2: cos(40∘)=sin(50∘).
Hint:
sinθ=cos(90∘−θ)
cos50∘=sin40∘
can you solve for θ using the above?
0
Knowing the relation between sin(θ) and cos(θ) is quite crucial. One of the major relation is that the sine function and cosine function are fairly similar with 90∘ difference so,
Sin(x+90)=cos(x)
We are given x=50, so
x+90=30+θ
θ=110
or
180−140=40
This is θ+30 so,
θ=10∘
The sign of the x-coordinate changes; the y-coordinate stays the same.
Answer:
Hence, the surface area of cone is:
282.6 cm^2 which is approx 283 cm^2.
Step-by-step explanation:
We are given:
- The circular base of a cone has a radius of 5 centimeters.
i.e. r=5 cm.
- The height of the cone is 12 centimeters
i.e. h=12 cm.
- The slant height is 13 centimeters.
i.e. l=13 cm.
Now we know that the surface area(S.A.) of cone is given by:
Hence by putting the value of l,r and π in the formula we get:
Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.
