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Natalka [10]
3 years ago
5

A package in the shape of a rectangular prism has a length of 4 1/2 feet, a width of 2 3/4 feet, and a height of 2 1/3 feet.

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

28.875

Step-by-step explanation:

you would just multiply the three together

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The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
___________________________________________
Answer choice:  [C]:  " 7.2 units" .
___________________________________________
5 0
3 years ago
What is the following quotient? 2- 8sqr / 4+12 sqr
AlekseyPX

Answer: 130

Step-by-step explanation:

--> first solve sqr-->2-64/4+144

-->perform division next as per DMAS rule-->64÷4=16--> 2-16+144

--> now perform addition and subtraction-->2-16-14--> -14+144= 130

7 0
2 years ago
A holding tank containing 3000 gallons of oil is been at the rate of 130 gallon per hour of six hours and then filled at the rat
serious [3.7K]

Answer:

2520 gallons

Step-by-step explanation:

3000 gallons -780 gallons drained over 6 hours then add 300 gallons over three hours = 2520 gallons

8 0
3 years ago
The quotient of s and three
Doss [256]

Answer:

s/3

Step-by-step explanation:

The quotient means you divide the two values.

7 0
2 years ago
If you make 1170 points out of 1800 what grade would I have​
insens350 [35]

Answer:

req grade=35%

Step-by-step explanation:

req grade=\frac{1800-1170}{1800}\times100

req grade=\frac{63000}{1800}

req grade=35% answer

5 0
3 years ago
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