Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
Answer:
Step-by-step explanation:
Angles around a point add up to 360
x + 53 + 37 + 139 = 360
x + 229 = 360
x = 360 - 229
x = 131
Since it is a square that means each side is equal.
The perimeter is 24, and since there is four sides we would divide it by four to find the length of each side.
24/4 = 6
Each side is 6.
By looking at the picture, one side of the square, is the length of the radius.
The radius of the square is 6.
The only thing left to do is to find the circumference.
The circumference formulas are:
C =
d
C = 2
r
We can use the first one Diameter x pi (3.14)
To find the diameter we would just multiply the radius by two.
6 x 2 = 12
Diameter = 12
So multiply it by pi
12 x 3.14 = 37.68
or D 12
Answer: 323 hamburgers
754/2=377
377 ham 377 cheese
54 more cheese than ham
377 ham - 54 = 323 hamburgers total sold on Saturday
