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Komok [63]
3 years ago
11

50 POINTS! You need to simply the equation below, please answer quick, deleting in 15 min

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

The answer is: \frac{1}{x}.

I'll attach a photo with my work below. Have a good day, and good luck on your assignment! :)

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Answer:Top right

Step-by-step explanation:

Because they are all the same V shape, we look to the slope for the answer.

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3 years ago
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A magician’s stage has a rectangle trapdoor which is (x+ 1/2) by 2x ft. The outside rectangle length is (x+ 16) ft.
Katen [24]

Answer:

Part A:- x +11 ft     Part B:- (4x+54)ft   part C:- x= 2ft  

Part D:- Yes it satisfy his requirement

Step-by-step explanation:

Given that,

length and breadth of Trapdoor are (x+ \frac{1}{2} ) by 2x ft.

The Outside length of Rectangle is (x+16 ) ft.

Part A:- Total area (in square feet) of the stage can be represented by  

             x^{2} + 27x+ 176. Write an expression for the width of stage.

So,        Area of rectangle =  length \times breadth

                 x^{2} + 27x+ 176 = (x+16) \times breadth

                     Breadth = \frac{x^{2} + 27x+ 176}{x+16}

                     Breadth = x+11 ft.                       ................(1)

Part B:- Write an expression for the Perimeter of the stage.

Here,   Perimeter of Rectangle = 2(L+B)

                                                    = 2(x+16 + x +11)

                                                    = (4x + 54) ft

Part C:- The area of trapdoor is 10 ft^{2}. Find the value of x.

So,                        Area of trapdoor = 10 ft^{2}

                              (x +\frac{1}{2}) \times 2x =10 ft^{2}

                               2x^{2} +x - 10 = 0

                                  x = \frac{-1-9}{4} , \frac{-1+9}{4}

                                  x = \frac{-5}{2} , 2

Hence value of x is 2 ft             (Neglecting the negative value because                      

                                                   length cannot be negative).

Part D:-  The magician wishes to have the area of the stage be at least 20 times the area of the trapdoor. Does this stage satisfy his requirement? Explain.

So,   Length of trapdoor is (2+\frac{1}{2} ) = \frac{5}{2} ft

        breadth of trapdoor is 2\times 2 = 4ft

Now, outside length of Rectangle is = 18ft

And outside breadth of rectangle is = 13ft

Here, Area of trapdoor = \frac{5}{2} \times 4 = 10ft^{2}              ...................(2)

         Area of rectangle = 18 \times 13= 234 ft^{2}        ....................(3)

Thus comparing Equation (1) & (2) we found that

Area of rectangular stage is 20 times greater than the area of trapdoor.

7 0
4 years ago
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