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2 years ago

You roll two six-sided fair nukber cubes.Whatbis the probability that you will roll snake eyes(both ones)?

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

3 0

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be $(\frac{1}{6} )(\frac{1}{6})$ = $\frac{1}{36}$

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Help on this assignment please :(

topjm [15]

Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

7 0

3 years ago

This last one I need help on too

ExtremeBDS [4]

Answer:

$x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}$

Step-by-step explanation:

simplify $\frac{-3}{x-2}$ by putting the negative sign on the outside. $\frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}$

find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:

$\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)$

Simplify:

$2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)$

solve: $x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}$

3 0

3 years ago

Can someone plz help I do not know what I am doing

PolarNik [594]

the answer is D-n is greater then or equal to nine.

because the red dot starts on nine and goes up its greater than nine and because its on nine its also going to equal it. I had a problem getting the signs messed up when I learned it but I remember the sign always eats the greater number. I hope this answer could help and I'm sorry if the answer is incorrect.

3 0

3 years ago

Please help i put a picture below

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was. You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship. We will use that here.

The area formula for a regular polygon is

$A=\frac{1}{2}ap$ where a is the apothem and p is the perimeter. We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared. Knowing that the area formula for a triangle is

$A=\frac{1}{2}bh$ we can sub in what we know and solve to find the height:

$22.022=\frac{1}{2}(8)h$ and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

$A=\frac{1}{2}(5.5055)(40)$

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas. We will set up a proportion with the smaller polygon info on top and the larger info on bottom. We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

$\frac{s}{l}:\frac{1}{3}$

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

$\frac{s}{l}:\frac{1}{3}=\frac{40}{x}$

Cross multiply to get that the perimeter is 120 units. You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120. But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one. If the perimeter ratio is 1:3, then the area relationship is

$\frac{s}{l}:\frac{1^2}{3^2}$ which is, simplified: