The answer is 4) 140.
If we closely examine the pattern of the series, we see that after a number is subtracted by a value, it is multiplied by the same value, and then it moves on to the next natural number.
- 10 - 2 = 8
- 8 × 2 = 16
- 16 - 3 = 13
- 13 × 3 = 39
- 39 - 4 = 35
The next step, according to the pattern, would be to multiply 4.
The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given
Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known
Here, if we use cos x =
we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star
Note: cos values for each x are definite.
Rate of change refers to moving a certain amount of distance over a certain time period
rate of change= velocity in this case.
Since all sides of a cube are equal...,
Let one side length of a cube be (z)
;Volume = z × z × z
;Volume = z^3
; 27 = z^3....where we then say that..,
; z(side length) = cube root of (27)
; Hence..., Side Length = 3 yards
5 and 2/10 converted into decimal notation would be, 5.2