A = {multiples of 3 between 20 and 32} B = {odd numbers between 20 and 32}
C = {even numbers between 20 and 32}
a) List the members of A U B​

A={21,24,27,30}

B={21,27}

C={24,30}

Step-by-step explanation:

a)A U B={21,24,27,30}

b)A n C ={24,30}

9514 1404 393

  A ∪ B = {21, 23, 24, 25, 27, 29, 30, 31}

  A ∩ C = {24, 30}

Step-by-step explanation:

  A = {21, 24, 27, 30} . . . . . . . . . . . . . multiples of 3

  B = {21, 23, 25, 27, 29, 31} . . . . . . . odd numbers

  C = {20, 22, 24, 26, 28, 30, 32} . . . even numbers

The union is the list of numbers in either set.

  A ∪ B = {21, 23, 24, 25, 27, 29, 30, 31}

The intersection is the list of numbers in both sets.

  A ∩ C = {24, 30}

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

triangle and cube

step-by-step explanation: