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Sati [7]
3 years ago
14

The figure below shows a rectangular prism and a cube: A rectangular prism and a cube are drawn side by side. The length of the

rectangle prism is 6 inches, the width is 5 over 6 inch, and its height is 1 and 2 over 6 inches. The cube has a side length of 1 over 6 inch. How many such cubes are required to completely pack the prism without any gap or overlap?
Mathematics
1 answer:
love history [14]3 years ago
4 0

Calculate the volume of each shape.

Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.

Now divide the volume of the rectangle by the volume of the cube:

6 2/3 / 1/216 = 1440

It will take 1.440 cubes to fill the rectangle.

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What is the slope of the line that contains the points(1-1)and(-2,8)?
omeli [17]
We can use the formula y2-y1/x2-x1 to find slope given two points. Therefore, we have -1-8/-2-1, getting us -9/-3, or just 3. Hope this helps!
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Find the slope of the line through p and q. p(5, −9), q(−5, 6)
kykrilka [37]

Answer: slope = -1,5

Step-by-step explanation:

We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)

m = ∆y/∆x = (y₂ - y₁)/(x₂ - x₁)

Given points are: p(x₁ , y₁) = (5 , −9) and q(x₂ , y₂) = (−5 , 6)

Substituting these two known points in the slope formula, we have:

m = (6-(-9))/(-5-5) = 15/-10 = -1,5

Therefore, the slope of this line = -1,5  

Answer: slope = -1,5

<h2><em>Spymore</em></h2>

7 0
3 years ago
The average attendance of Everton football club fell by 7% in 1982. If 2030 fewer people went to matches in 1982, how may went i
nataly862011 [7]

Answer: 29000  people went in 1981.

Step-by-step explanation:

Let  x= Attendance in 1981.

Given: The average attendance of Everton football club fell by 7% in 1982.

Difference in attendance from 1981 to 1982 =  0.07x

If 2030 fewer people went to matches in 1982,

0.07 x=2030\\\\\Rightarrow x=\dfrac{2030}{0.07}\\\\\Rightarrow x=29000

Hence, 29000  people went in 1981.

8 0
3 years ago
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