4. in the figure below, abc is a right triangle. the length of
ab is 6 units and the length of cb is 3 units. what is the length, in
units, of ac?

Length of the side AC = units

Step-by-step explanation:

The given triangle ABC is a right triangle.

Here,   AB =   6 units ( hypotenuse)

CB = 3 units (base)

Now, as the triangle is a right triangle, so by

PYTHAGORAS THEOREM

In a right triangle,

So, here in ΔABC:

or,

⇒

or, the length of the side AC = units

Step-by-step explanation:

Use Pythagoras Theorem.

For any right-angled triangle, with sides,

" alt="\begin{centre}$$ a^2 + b^2 = c^2 $$ \\\end{centre}" />" />

where, are the length of the sides and is the hypotenuse.

Here, is the hypotenuse and and are its sides. Therefore from Pythagoras Theorem we have:

So, we say the length of the other side is units.

astronomers is your final answer! : )

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12