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Marrrta [24]
2 years ago
13

A cube has side length a. The side lengths are decreased to 20% of their original size. Write an expression in simplest form for

the volume of the new cube in terms of a.
Mathematics
2 answers:
Verdich [7]2 years ago
7 0

Answer:

4/8 m if  it isn't there then it's 1/2 m

Step-by-step explanation:

Travka [436]2 years ago
3 0

Answer:

0.512a³ cubic units

Step-by-step explanation:

Given a cube of length, a, then when decreased by 20%, what's left is actually 80% of the original. So, for this case, we have a cube with a length of 80%(a) = 0.80a.

Now, to compute for the volume of a cube, we multiply the length three times to itself. Or, in other words, raise the length to the third power. That means the volume of the new cube is (0.8a)³ = 0.512a³ cubic units.

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A vender bought an earphone for $1378 and she sold it in order to make a profit of 17. 5% calculate the profit made in cash and
Inessa [10]

The profit he made from selling his hearing aids at a profit of 17% is $234.26.

<h3>How to calculate the profit obtained?</h3>

To calculate the profit obtained, we must calculate how much money is equal to 17% of $1,378.

  • $1,378 ÷ 100 = $13.78
  • $13.78 × 17 = $234.26

Based on the above, 17% of $1,378 equals $234.26. On the other hand, to calculate the final sale price of the earphone, we add the initial value plus the value of the profit.

$1,378 + $234.26 = $1,612.26

Learn more about profit in: brainly.com/question/15293328

8 0
2 years ago
Built around 2600 BCE, the Great Pyramid of Giza in Egypt is 485 ft high (due to erosion, its current height is slightly less) a
Morgarella [4.7K]

Answer:1.69*10^12 J

Step-by-step explanation:

From figure above, using triangle ratio

485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485

Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3

Force slice = 150*755.5^2.y^2.∆y/485^2

From figure 2 in the attachment work done for elementary sclice

Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2

= (150*755.5^2*y^2)(485-y)∆y/485

To calculate the total work we integrate from y=0 to y= 485

Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485

Integrating the above

W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485

W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)

Work done 1.69*10^12joules

7 0
3 years ago
I have a rectangle house. it is ten feet wide and 20 feet long ​
coldgirl [10]

Answer:

200 in all

Step-by-step explanation:

3 0
3 years ago
Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not en
maxonik [38]

Answer:

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

Step-by-step explanation:

We are given the following in the question:

"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."

Independent and Dependent Variable:

  • Dependent variable is the variable whose value depends on the independent variable.
  • Independent variable is the free variable.

For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.

Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.

Thus, the correct answer is

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

8 0
3 years ago
What is 0.25% of 137
rodikova [14]

Answer:

0.342

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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