Answer:
B) 1.4
Step-by-step explanation:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
Answer:
27 inches
Step-by-step explanation:
We are using the Pythagorean theorem
a^2 +b^2 = c^2 where c is the hypotenuse
We are given the diagonal, which is the hypotenuse and a leg
36^2 + b^2 = 45^2
Subtract 36^2 from each side
36^2 + b^2 - 36^2 = 45^2 - 36^2
b^2 = 45^2 - 36^2
b^2 =2025-1296
b^2 =729
Take the square root of each side
sqrt(b^2) = sqrt(729)
b =27
Answer: One face is 16 square centimeters.
Step-by-step explanation: To find the area of a face, you need to know the length of the side. All the sides of the cube are the same, so take the cube root of 64.
cm is the length of the side
The area of one face is the side length squared 4² = 16
4cm × 4cm = 16 square centimeters.
Answer:
The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin
LCL of R-chart = 0 * 0.84533 = 0
LCL of R-chart = 75.128
Step-by-step explanation:
Given data:
number of observations = 15
sample size ( m ) = 6
sum of sample mean = 80.20 ounces
sum of sample range ( R ) = 12.68 ounces
Determine the control limits of an x-bar and R-chart
<em>for an R-chart </em>
LCL of R-chart = D3 * R(bar) ---- ( 1 )
where : m = 6 , D3 = 0 , R = 12.68
R(bar) = 0.84533
back to equation 1
LCL of R-chart = 0 * 0.84533 = 0
<em>for an X-chart </em>
LCL of X-bar) = ( mean ) - (m x R-bar)
= 80.20 - ( 6 * 0.84533 )
= 75.128
The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin