How many radians does the minute hand of a clock rotate through over 10 minutes? how many degrees?

10 minutes =  1.047198 radians

10 minutes = 60 degree

Step-by-step explanation:

we know that

There is 60 minutes in an hour

so it is This is 2 Pi radians

so 10 minutes is   or   th of an hour

and here we know  the hand will travel  of the full circle

and we know A full circle measures 2 Pi radians

2 × pi radians = 360 degrees

10 minutes = ×   2 × pi radians

10 minutes =   × pi radians

10 minutes =  1.047198 radians

10 minutes = 60 degree

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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