Note that a:b = c:d is the same as a/b = c/d
y:1.5=0.2:0.75 same as y/1.5 = 0.2/0.75
y = 0.4
x: 1 2/3=y:3 1/3 same as x/1 2/3 = y / 3 1/3
x = y/2 = 0.2
Answer:
45 different ways to fill the positions.
Step-by-step explanation:
Consider the provided information.
Management selection. A corporation plans to fill 2 different positions for vice-president, V₁ and Upper V₂, from administrative officers in 2 of its manufacturing plants. Plant A has 9 officers and plant B has 5.
We need to find the probability that 2 positions be filled if the Upper V₁ position is to be filled from plant A and the Upper V₂, position from plant B?
To fill the post of V₁ from plant A, which has 9 officers, we have 9 ways.
To fill the post of V₂ from plant B, which has 5 officers, we have 5 ways.
Therefore, the total number of ways are: 
Hence, 45 different ways to fill the positions.
Answer:
=(2x−3y)(2x−3y)(2x−3y)
Step-by-step explanation:
8x
3
−27y
3
−36x
2
y+54xy
2
=(2x)
3
−(3y)
3
−3×(2x)
2
×3y+3×2x×(3y)
2
Using,(a−b)
3
=a
3
−b
3
−3a
2
b+3ab
2
=(2x−3y)
3
=(2x−3y)(2x−3y)(2x−3y)
The answer is 6 x 3 x 3 = 54.
I found this by finding the surface area with 9 x 6 and then seeing that 6 x 3 x 3 gives the same answer knew that one was correct, but I'm sure there's an easier way, good luck.
Answer: the flagpole is 16 feet tall.
Step-by-step explanation:
A right angle triangle is formed.
The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.
To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 53 = h/12
h = 12Tan53 = 12 × 1.327
h = 16 feet to the nearest whole number
