Answer:
0.92 and 1.25 respectively
Step-by-step explanation:
0.92 and 1.25 respectively
first the mean of each value which is 9.7 and 9.8 respectively
standard deviation = square root of the mean deviation of each value
then deduct the mean from each element
and square each value and add them together. not you should square each deviation value before you add them
at last divide the result by the number of frequency and find it's square root
The length of one segment is 15 cm and other segment is 60 cm
Step-by-step explanation:
Let x be the length of one segment and y be the length of other segment
Then according to given statement
x+y=75 Eqn 1
And
one the segments are four times the other
x=4y Eqn 2


Hence,
The length of one segment is 15 cm and other segment is 60 cm
Keywords: Linear Equation, Variables
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Since the triangle has a 30° angle and a right angle which is 90°, this triangle must be a 30 - 60 - 90 triangle, which is a triangle with special properties. The length of the leg adjacent to the 30° angle is equal to the √3 times x where x is the length of the angle adjacent to the 60<span>° angle. Here is a visual representation:
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Step-by-step explanation:
Hello there!
Again, just double the given sides.
20+38=58 cm
:)
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2