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AfilCa [17]
2 years ago
13

Two pillars have been delivered for the support of a shade structure in the backyard. they are both ten feet tall and the cross

sections of each pillar have the same area. explain how you know these pillars have the same volume without knowing whether the pillars are the same shape.
Mathematics
1 answer:
BartSMP [9]2 years ago
3 0

The steps to determine whether the pillars have the same volume are;

First, we must know that the volume of an object of uniform surface area is the product of its Area and height.

The uniform area of each pillar is then evaluated and if equal;

Both pillars can be concluded to have the same volume.

We must first recall that for various shapes, the volume of the shape is a function of its height.

For example: a A cylinderical pillar and a rectangular prism pillar;

Volume of a cylinder = πr²h

Volume of a Cuboid = l × w × h

Since h = h.

Therefore, for both pillars to have the same volume; their Areas must be equal.

πr² = l × w

Learn more about Area and volume here

brainly.com/question/987829

#SPJ4

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The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Virty [35]
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6        
--------------  =    4 x 10^4    
 2.3 x 10²

Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

4 0
3 years ago
Hey guys what is this type of equation/ question called 1 < x < 30
dimulka [17.4K]

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

6 0
3 years ago
PLS HELP ME ASAP I WiLL MARK THE BRAINLIEST
Fittoniya [83]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Of great importance to residents of central Florida is the amount of radioactive material present in the soul of reclaimed phosp
alukav5142 [94]

Answer:

See figure attached and explanation below.

Step-by-step explanation:

For this case we have the following dataset given:

0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99, 0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06, 12.48

And for this case we can use the followinf R code to create the frequency histogram.

> x<-c(0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99,0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06,12.48)

> length(x)

[1] 25

> hist(x, prob=TRUE)

And for this case we have the histogram on the figure attached. For the number of classes we use the formula of sturges:

k = 1 +3.322 log (n)= 1+3.3 log(25)= 5.61

And for this case we have approximately 6 classes. And that's what we can see on the figure attached

As we can see most of the values are on the left so then we have a right skewed to the right and the distribution is assymetrical, with most of the values between 0 and 6

4 0
3 years ago
A.)ii. and iii.<br> B.)ii.<br> C.)i.<br> D.)i. and iv.
Vlad [161]
The answer is B) ii

The notation "p --> q" means "if p, then q". For example

p = it rains
q = the grass gets wet

So instead of writing out "if it rains, then the grass gets wet" we can write "p --> q" or "if p, then q". The former notation is preferred in a math class like this. 

So when is the overall statement p --> q false? Well only if p is true leads to q being false. Why is that? It's because p must lead to q being true. The statement strongly implies this. If it rained and the grass didn't get wet, then the original "if...then" statement would be a lie, which is how I think of a logical false statement. 

If it didn't rain (p = false), then the original "if...then" statement is irrelevant. It only applies if p were true. If p is false, then the conditional statement is known to be vacuously true. So this why cases iii and iv are true. 
4 0
3 years ago
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