Answer:
Thus, the expression to find the measure of θ in radians is θ = π÷3
Step-by-step explanation:
Given that the radius of the circle is 3 units.
The arc length is π.
The central angle is θ.
We need to determine the expression to find the measure of θ in radians.
Expression to find the measure of θ in radians:
The expression can be determined using the formula,
where S is the arc length, r is the radius and θ is the central angle in radians.
Substituting S = π and r = 3, we get;
Dividing both sides of the equation by 3, we get;
Answer:
0.01533036946190
Step-by-step explanation:
10÷652.3
0.01533036946190
Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
To calculate it use pythagoras: a^2+b^2=c^2
7^2+10^2=49+100=149
calculate the square root:
so the diagonal is about 12.2 inches long
Answer:
4×(34-12)+3×6
4×22+3×6
88+18
=106
Step-by-step explanation:
Apply the BEDMAS rule
B=brackets
E=exponents
D=Division
M=multiplication
A=addition
S=subtraction
