Answer: 33 minutes
Step-by-step explanation:
Hi to answer this question we have to write a proportion
Speed rate = 88 step per minute
Time = 90 minutes
So, the proportion is 88 step/min / 90 minutes
For 33 steps per minutes = 33 / x minutes
88/90 = 33/x
solving for x:
x= 33/ (88/90)
x = 33.75 = 33 minutes.
Feel free to ask for more if needed or if you did not understand something.
Here's what i found online:
<span>a/3+4=6
We simplify the equation to the form, which is simple to understand
<span>a/3+4=6
Simplifying:
<span> + 0.333333333333a+4=6
We move all terms containing a to the left and all other terms to the right.
<span> + 0.333333333333a=+6-4
We simplify left and right side of the equation.
<span> + 0.333333333333a=+2
We divide both sides of the equation by 0.333333333333 to get a.
<span>a=6
Hope this helped :-)</span></span></span></span></span></span>
Answer: The relative frequency of column A in group 1=
The relative frequency of column B in group 1=
The relative frequency of column A in group 2=
The relative frequency of column B in group 2=
Step-by-step explanation:
The relative frequency is the ration of each frequency by the total value in particular group.
For group 1 : Total =102+34=136
The relative frequency of column A in group 1=
The relative frequency of column B in group 1=
For group 2 : Total =18+14=32
The relative frequency of column A in group 2=
The relative frequency of column B in group 2=
Answer:
x = 21
Step-by-step explanation:
Although the picture is a bit blurry towards the bottom, I believe the opposite exterior angle is 129°
Opposite exterior angles are equivalent by the opposite exterior angles postulate. Of course, this only applies if the transversed lines are parallel, which they are in this case, because of the small orange arrows.
Anyhow, the equation should be set up as follows:
<em>Have a nice day, fam. Spread The Love.</em>
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)