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KIM [24]
3 years ago
15

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism?

Mathematics
2 answers:
OLEGan [10]3 years ago
4 0
The base area will be dilated: 54 x 54 times
The height is dilated: 54 times.
Current volume: 6 x 8
= 48 cm³

New volume: 48 x 54 x 54 x 54
New volume = 7,558,272 cm³
AlekseyPX3 years ago
3 0

Answer:

The answer is (93.75) for anyone in the future who needs the answer.

Step-by-step explanation:

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If a worker can do his job in 5 hours, and a student can do the same job in 8 hours, what part of the work is left to finish aft
Aleks [24]

Answer:

Part of work left to finish after two work hours is 7/20

Step-by-step explanation:

Firstly, we need to calculate their joint work rate

That will be;

1/(1/5 + 1/8) = 1/(13/40) = 40/13

This means that they will complete the task in 40/13 hours

1 whole part takes 40/13

x part will take 2 hours

x * 40/13 = 2

40x = 26

x = 26/40

So the part that will be completed in two hours is 26/40

This means that the part left to complete will be:

1 - 26/40 = 14/40 = 7/20

8 0
3 years ago
Read 2 more answers
adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
2 years ago
A ruler is 12 inches long.what is the length of this ruler in centimeters
lawyer [7]
I think it is 30.48 because i looked it up 
8 0
3 years ago
Read 2 more answers
4/16+12/16=how to figure out this problems
sesenic [268]
You add the numerators and keep it over the denominator. 4/16 plus 12/16 is 16/16 and when the same number is the denominator and numerator at the same time, its 1

1 
3 0
3 years ago
Austin will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $40 and costs an ad
GenaCL600 [577]

Answer:

1st plan--> 40+0.11x

2nd plan--> 49+0.09x

Dont know wat u want

Step-by-step explanation:

7 0
1 year ago
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