How many four - digit numbers can be made from the numerals 7,6,5, and 3 4 12 24

12

Step-by-step explanation:

As you have 4 digist to create as many 4 digit numbers as you can you just have to think, how many starters do I have?

You have:

7

6

5

3

Those are how many you can start your number with, and then how many options of arrangements do I have for each one? and there are just three number to arrange in three different ways after that, it means that you have 4x3 ways to arrange those numerals to create 4 digit numbers.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,