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beks73 [17]
2 years ago
8

One cube has an edge length 5 cm shorter than the edge length of the second cube. The volume of the smaller cube is 216 cm?. Wha

t is the volume of the
larger cube?
Mathematics
1 answer:
VLD [36.1K]2 years ago
4 0

Answer:

The volume of the  larger cube is V=1,331\ cm^3

Step-by-step explanation:

Let

x ---> the length of the smaller cube

y ---> the length of the larger cube

we know that

the volume of a cube is equal to

V=b^3

where

b is the length side of the cube

we have

x=y-5 ----> equation A

The volume of the smaller cube is 216 cm^3

so

substitute in the formula of volume

216=x^3

solve for x

x=\sqrt[3]{216}\ cm

x=6\ cm

<em>Find the value of y</em>

x=y-5

6=y-5

y=6+5=11\ cm

<em>Find the volume of the larger cube</em>

V=y^3

substitute the value of y

V=11^3

V=1,331\ cm^3

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Answer:

Principal element is $475.43

Interest payment is $390

Step-by-step explanation:

The amount of interest paid in month one is 4%*$117,000*1/12=$390

The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12

The principal element of monthly payment is the monthly payment minus interest.

principal paid in month one=$865.43-$390=$475.43

Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan

4 0
1 year ago
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4
german

Answer:

range is  between 55.5 to 64.5

Step-by-step explanation:

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches

68% is 1 standard deviation from mean

To get the range of 1 standard deviation we add and subtract standard deviation from mean

mean = 60

standard deviation = 4.5

60 - 4.5= 55.5

60+4.5 = 64.5

1 standard deviation is between 55.5 to 64.5

That is 68% range is  between 55.5 to 64.5

8 0
2 years ago
Kevin ate 2 slices of cake. Ben ate 1 slice. If Kevin ate 2/6 of the cake and all the slices are the same size, what fraction of
Alexeev081 [22]

1/2 of the cake was eaten

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All the slices are the same size

3 0
1 year ago
Problem
Fiesta28 [93]

Answer:

do you have a photo of the figure?

3 0
1 year ago
Read 2 more answers
I would like to purchase 20 products at a cost of $65 per product. What would be my total with 3.5 sales tax
alexandr402 [8]

Answer:

Answer:

The total is: $ 1345.5

Step-by-step explanation:

It is given that:

I would like to purchase 20 products at a cost 65.00 per product.

This means that the cost of 20 products will be:

Also, there is a sales tax of 3.5%

This means that a person has to pay a extra 3.5% on the total cost of the items he purchased.

i.e. he need to pay 3/5% on $ 1300

This means that the amount of tax he need to pay is: 3.5% of 1300

                                                                             =  3.5%×1300

                                                                            = 0.035×1300

                                                                           = $ 45.5.

Hence, the total cost is: $ 1300+$ 45.5

This means that the total cost is: $ 134.5

8 0
1 year ago
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