Explain why 2-81273-05213-8 is an invalid upc number.
step 1: verify the last digit of the code. (10 points)
step 2: identify what the last digit should be in order to make it a valid code.

Part 1) Is not a valid code

Part 2) The last digit should be 6 in order to make it a valid code

Step-by-step explanation:

we have

2-81273-05213-8

we know that

The last number is the check digit (8)

Verify the UPC number

step 1

Sum the digits in the odd positions, starting at the left

so

2+1+7+0+2+3=15

step 2

Multiply the answer in step 1 by 3

15(3)=45

step 3

Sum the numbers in the even positions, ignoring the last (12th) digit because that is the check digit that you are verifying

Do not multiply this number by 3.

8+2+3+5+1=19

step 4

Add the results from steps 2 and 3

45+19=64

step 5

Subtract the number in step 4 from the next higher multiple of 10. In this example, the next multiple of 10 after 64 is 70, so subtract 64 from 70:

70-64=6

This number is not equal to the check digit (8)

therefore

Is not a valid code

The last digit should be 6 in order to make it a valid code

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

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2