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Lorico [155]
3 years ago
14

Se lanzan 4 dados y se determina la suma de los números obtenidos. ¿Cuál de los siguientes eventos corresponde a un evento impos

ible?
A. El resultado sea mayor que 24


B.Que salgan salgan 4 números iguales


C.Que el resultado sea menor que 25
Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer: A.

Step-by-step explanation:

Ya que cada dado tiene como maximo un numero 6 y si a esto se le suma el hecho de que son 4; es imposible que el resultado sea mayor a 24.

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
3 years ago
10) A wheelchair ramp is getting built at the entrance of a building. The ramp will be 25 feet long from front
mezya [45]

Answer:

The angle complies with the state regulations.

Step-by-step explanation:

The angle of elevation is the angle \theta in the figure, and from trigonometry we find that

sin(\theta) = \dfrac{1.5ft}{25ft}

taking the inverse sine of both sides we get

\theta = sin^{-1}(\dfrac{1.5ft}{25ft})

which gives

\theta = 3.44^o

which is less than 5°, and therefore is well within the state regulations.

3 0
3 years ago
The mass of a ball is 128 g. It has a density of 0.5 g/cm³.
liraira [26]

Answer:

The volume of the ball is 256 cm³

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for V

The volume is equal to the ratio of the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

7 0
3 years ago
Rachel's house sold for $180,000. Her real estate agent received a commission of $10,800. What percentage did her real estate ag
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16.6 repeating it the answer

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4 years ago
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torisob [31]

You get 5/10, or simplified as 1/2.

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3 years ago
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