I know this is not an answer but if your having trouble with this there is a website called Desmos all you do is type in the equation for the graph and it gives you the answer
5 cakes / 100 mins = 0.05 cakes / min
0.05 cakes * 60 mins = 3 cakes / hour
Answer: 8 times.
Step-by-step explanation:
I will answer in English:
This says:
The volume of a cube is 125cm^3
How many times the volume will increase if we duplicate the lenght of the side?
If L is the lenght of the side, we have that the volume of the cube is:
V = L^3
If we duplicate the lenght of the side, the new volume is:
V = (2*L)^3 = 8*L^3
So we can see that the volume of the new cube is 8 times the volume of the previous cube.
Now, we can do the math, for our original cube we have:
L^3 = 125cm^3
L = 5cm
the new cube has L' = 2*L = 10cm
The volume of this cube is:
V' = L'^3 = 10cm^3 = 1000cm^3
the ratio V'/V is:
1000cm^3/125cm^3 = 8
Hello,
x²-13x-30=x²+2x-15x-30=x(x+2)-15(x+2)=(x+2)(x-15)
Roots are -2 and 15
The plane will end up flying 5.02°.
The plan's speed relative to the ground will be 645.91 km/hr.
Solution:
Use the cosine formula,
Substitute the given values in the formula,
Taking square root on both sides, we get
R = 645.91 km/hr
This is the grouped speed of the aircraft.
To find θ use sine rule.
Do cross multiplication, we get
sin θ = 0.0875
θ = 5.02°
This is known as the drift angle and is the correction the pilot should apply to remain on course.
The heading is the direction the aircraft's nose is pointing which is
The track is the actual direction over the ground which is θ = 5.02°
An alternative method to this would be to separate each vector into vertical and horizontal components and add.
The resultant can be found using Pythagoras.