Answer:
Step-by-step explanation:
This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.
11C6
11!/(11-6)!*6!
= 462
Therefore the manager can select the restaurant in 462 ways.
Answer:
B
Step-by-step explanation:
I got it right
The biggest possible volume of the cylinder will be
.
<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>
- If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
- For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is
, the diameter and the height of the cylinder are also 
- If the side length of a cube is
unit, then its diagonal will be
unit. - The formula for the volume of a cylinder is
, where
is the radius and
is the height of the cylinder. If
is the diameter, then
.
Now, given that the diagonal of the cube is
cm. So, if the side length of the cube is
cm, then we must have

Thus, the side length of the cube is
cm.
So, the height of the cylinder with maximum volume will be
cm and the diameter will be
cm i.e. the radius will be
cm.
So, using the above formula for the volume of a cylinder, we get
.
Therefore, the biggest possible volume of the cylinder will be
.
To know more about volume, refer: brainly.com/question/1972490
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Answer:
-1/2
Step-by-step explanation:
rise over run
rise is -2
run is 4
(-2/4)/2=(-1/2)
hope this helps :3
if it did pls mark brainliest
Answer:

Step-by-step explanation:
Let's start by using distributive multiplication:

So:

Grouping like terms:

Now,
is equal to:

In this sense:

In order to satisfied the equality:

Hence, from (1), let's solve for a:

And from (2), let's solve for b:

Let's verify the result evaluating the values of a and b into the original equation:

As you can see, the values satisfy the equation, therefore, we can conclude they are correct.