Like in utah, license plates in the great state of wisconsin consist of 2 letter and 4 digits. however, only digits can repeat and the two letters always precede the digits. how many possible plates are there in wisconsin?
question options:
26x26x10^4
26x25x10^4
36! /(6! 30! )
36x35x10x10x10x10

The correct option is B) 26x26x10^4.

Step-by-step explanation:

Consider the provided information.

It is given that the Wisconsin consist of 2 letter and 4 digits. And two letters always precede the digits.

There are 26 Alphabet so that means for alphabets we have 26 choices also we for digits we have 10 choices (0 to 9).

However, only digits can repeat. For first letter we have 26 choices for second we have only 25 choices left, similarly for digits we have 10 choices but repetition is allow so we can choose same number.  the number of possible plates are:

26×25×10×10×10×10

Which also can be written as:

Hence, the correct option is B) 26x26x10^4.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841