Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word deadline? a. 8! b. 8! /4! c. 8! /2! +2! d. 8! /2! *2! i think the answers d but im not sure

Option D

Step-by-step explanation:

See the letters in the word deadline.

We have d and e repeated twice , and a,l,i,n once.

There are in total 8 letters

These 8 letters can be arranged in 8x7x6...1 = 8! ways

But since there are repititions of letters, we have 2! x 2! times repeated letters.

Hence we have to divide by 2!x2!

No of ways =

Option D is right

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

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: