Answer:
Step-by-step explanation:
<1=180°-74° so <1=126°
<2=180°-90° so <2=90°
<3=180°-116° so <3=64°
<4=180°-65° so <4=115°
by using ° =(3)180°/5 -<1 -<2 -<3 -<4 =<5
you find out the last.
Answer:
the number is 5
Step-by-step explanation:
We have to find the equation to solve the problem.
Let the number be x
lets write one more than seven times the difference of a number and 4 in mathematical form
1. Difference of number and 4 will be written as x - 4
now
2. seven times the difference of a number and 4 will be written as
7*( x - 4)
3. one more than seven times the difference of a number and 4 is expressed as
1 + 7*( x - 4)
_____________________________________________
1 + 7*( x - 4) is equal to twice the difference of the number and 1
4. difference of the number and 1 is x - 1
5. twice the difference of the number and 1 is 2*(x-1)
Thus,
1 + 7*( x - 4) = 2*(x-1)
=> 1 + 7x - 28 = 2x -2
=> 7x - 27 = 2x - 2
adding 27 both sides
=> 7x - 27 + 27 = 2x - 2 + 27
=> 7x = 2x + 25
subtracting 2x from both sides
7x -2x = 2x + 25 - 2x
=> 5x = 25
dividing both side by 5
5x/5 = 25/5
x = 5
Thus, the number is 5 answer
Answer: multiply the number of pounds by 16 to get number of ounces (since there isn't a number in between weighs/pounds)
Answer:
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Cot(5pi/12) = tan(pi/12)
tan(x/2) = (1 - cos(x)) / sin(x))
tan(pi/12) = tan((pi/6)/2) = (1 - cos(pi/6)) / sin(pi/6))
sin(pi/6) = 1/2
cos(pi/6) = sqrt(3) / 2
so...
tan(pi/12) = (1 - sqrt(3)/2) / (1/2) = 2 - sqrt(3)