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snow_lady [41]
3 years ago
15

The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x − 16. The length of the box is x + 2, while the h

eight is x + 8. Find the expression representing the width of the box.

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

width = (x-1)

Step-by-step explanation:

The volume of the prisms is defined in the problem as

Volume = x^3 + 9x^2 + 6x − 16

Volume  = width*height* length

And we know that,

length = (x+2)

height = (x+8)

We can find the roots of the equation, which happen to be

x = -8

x = -2

x = 1

(See image below)

This means that the volume can be represented as

Volume = x^3 + 9x^2 + 6x − 16 = (x+8)(x+2)*(x-1)

Therefore,

The width = (x-1)

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Answer:

Option C 5/12 is correct option

Step-by-step explanation:

We have to find the probability that shows yellow dice has a larger value than the red dice.

Probability= total no of favorable outcomes / total no of outcomes

in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die

(1,2) (1,3) (1,4) (1,5) (1,6)

     (2,3) (2,4) (2,5) (2,6)

              (3,4) (3,5) (3,6)

                       (4,5) (4,6)

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These are the possibilities where yellow die has greater value than red die.

total no of favorable outcomes = 15

total no of outcomes = 36

probability that yellow die has greater value than red die = 15 / 36

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3 0
2 years ago
What is the length of the unknown leg in the right triangle? A right triangle has a side with length 20 meters, hypotenuse with
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The length of the unknown leg of the triangle is 15 m.

<u>Step-by-step explanation:</u>

Length of one leg = 20 m

Length of the hypotenuse= 25m

As it is a right angled triangle we can use pythogoras theorem.

Let the unknown length be y

(20) (20)  + y(y) = (25) (25)

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Answer:

10 is your answer

Step-by-step explanation:

√((100 * 2)/2)

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Next, divide by 2

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10 is your answer

~

An easier way to solving this is to first cancel out the 2's ( multiplying 2 and dividing 2 would do nothing), and just square rooting 100, giving you the answer 10.

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