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Maksim231197 [3]
2 years ago
8

A right rectangular prism has a volume of 144 cubic meters. The prism is 8 meters long and 3 meters high. What is the width of t

he prism? A. 4 m B. 5 m C. 6 m D. 8 m
Mathematics
2 answers:
Cerrena [4.2K]2 years ago
5 0

Answer:

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

where

B is the area of the rectangular base

h is the height of the prism

In this problem we have

substitute and solve for B

-----> area of the rectangular base

therefore

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Step-by-step explanation:

Y_Kistochka [10]2 years ago
3 0
The answer is B, because of the rectangular prism has 144 cubic meters of volume and 8 meters long and 3 meters high, in order for the total to equal 144, you need the width of the prism to be 5m .
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8 0
3 years ago
On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum
Ket [755]

Answer:

9

Step-by-step explanation:

The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.

From the diagram; we have;

243 , 1_7 , _26

Assuming the covered digits are _

The sum is 826.

i.e

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 1<u>0</u>7  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 1<u>5</u>7  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

<u>4</u>26 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

7 0
2 years ago
Choose the correct simplification of f^9 h^23/f^3 h^17
Tanzania [10]

Answer:

f6h40

Step-by-step explanation:

Step  1  :

           h23

Simplify   ———

           f3  

Equation at the end of step  1  :

         h23

 ((f9) • ———) • h17

         f3  

Step  2  :

Multiplying exponential expressions :

2.1    h23 multiplied by h17 = h(23 + 17) = h40

Final result :

 f6h40

4 0
2 years ago
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