Answer: B) 5040
Step-by-step explanation:
Since total number of digits are 10 ( which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
And, According to the question, website requires a four-digit numerical password in which the digits cannot repeat.
Therefore, required possible arrangement = ![10_P_4](https://tex.z-dn.net/?f=10_P_4)
=![\frac{10!}{(10-4)!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B%2810-4%29%21%7D)
= ![\frac{10!}{6!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B6%21%7D)
= ![\frac{10\times 9\times 8\times 7\times 6!}{6!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Ctimes%209%5Ctimes%208%5Ctimes%207%5Ctimes%206%21%7D%7B6%21%7D)
= 10 × 9 × 8 × 7 = 5040
Thus, The required possible password is 5040.
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
![sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%20%3D%20%5Cdfrac%7BOpposite%20%5C%20leg%20%5C%20length%7D%7BHypotenuse%20%5C%20length%7D%20%3D%20%5Cdfrac%7BAB%7D%7Bx%7D)
Therefore;
![sin(52^{\circ}) = \dfrac{AB}{7.7}](https://tex.z-dn.net/?f=sin%2852%5E%7B%5Ccirc%7D%29%20%3D%20%5Cdfrac%7BAB%7D%7B7.7%7D)
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
Answer:
![](https://tex.z-dn.net/?f=%3Cfont%20color%3Dpink%3E)
According to the question, we get the equation :
![](https://tex.z-dn.net/?f=%3Cfont%20color%3Dblue%3E)
3x-12=18
![](https://tex.z-dn.net/?f=%3Cfont%20color%3Dblack%3E)
⛈Let's find x :
![3x - 12 = 18 \\ ⟹ 3x = 18 + 12 \\ ⟹ x = \frac{30}{3} \\ ⟹x = 10](https://tex.z-dn.net/?f=3x%20-%2012%20%3D%2018%20%5C%5C%20%20%E2%9F%B9%203x%20%3D%2018%20%2B%2012%20%5C%5C%20%20%E2%9F%B9%20x%20%3D%20%20%5Cfrac%7B30%7D%7B3%7D%20%20%5C%5C%20%20%E2%9F%B9x%20%3D%2010)
Hope you understand
Answer:
The Box 1 and Box 2 are the same mass.
Explanation:
It caused both to change speed because they have both the same mass.