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patti is using mental math to evaluate the expression ( 70+12.8+30 ) +6.1. she recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. how do the properties of operations allow patti to take that approach?

a. she can use the associative property to rewrite the expression as (70+30 )+12.8+6.1
b. she can use the associative property to rewrite the expression as ( 70+30+12.8)+6.1
c. she can use the commutative property to rewrite the expression as (70+30)+6.1
d. she can use the commutative property to rewrite the expression as ( 70+30+12.8)+6.1

answer:

the 70 and the 30 are in the parentheses, it allows you to add them around. for example, 70 + 30 + 12.8, or 12.8 + 70 + 30. it allows you to move them around.

step-by-step explanation:

answer:

the answer is b

step-by-step explanation:

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