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1 year ago

Fiona needs to choose a five-character password with a combination of three letters and the even numbers 0, 2, 4, 6, or 8.

Mathematics

1 answer:

katen-ka-za [31]1 year ago

8 0

The total outcomes of creating a password is 20

<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>

The given parameters are

Letters = 3

Digits = 5 digits i.e 0, 2, 4, 6, or 8.

From the question, the digits and the letters cannot be repeated.

So, we have:

Possible letters = 3 characters (position fixed)

Digits = 2 numbers

So, the total outcomes of creating different passwords is

Total = 1 * 1 * 1 * 5 * 4

Evaluate the product

Total = 20

Hence, the total outcomes of creating a password is 20

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the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the oth

Allushta [10]

The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

<h3>How to find the capacitance</h3>

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = $\frac{725}{3. 142 * 3}$

r² = $\frac{725}{9. 426}$

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

Learn more about volume of a cylinder here:

brainly.com/question/9554871

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6 0

2 years ago

Joel is designing a ramp for a bike trick. He draws this diagram. What is the value of x?

inn [45]

Answer:

x = -1

x = 5

Step-by-step explanation:

Use pythagorean theorem: a² + b² = c²

x² + (2x + 2)² = (2x + 3)²

Since these are quantities, you'll have to make them into quadratic equations.

(2x + 2)(2x + 2) = 4x² + 4x + 4x + 4

(2x + 3)(2x + 3) = 4x² + 6x + 6x + 9

x² + 4x² + 4x + 4x + 4 = 4x² + 6x + 6x + 9

Combine like terms

5x² + 8x + 4 = 4x² + 12x + 9

Move one side to set the equation equal to 0

x² - 4x - 5 = 0

Solve

x² - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1, 5

We can check that these are correct by plugging them in for x and seeing if they are equal

For example

(-1)² + (2(-1) + 2)² = (2(-1) + 3)²

1 = 1

3 0

2 years ago

A set of 10 coins may contain any combination of pennies, nickels, dimes, quarters, or half-dollars. In how many different ways

Iteru [2.4K]

that is a very complicated question with alot of variable to figure out

4 0

3 years ago

Help please!!!!!!!!!

devlian [24]

Answer:

YOU not smartYOU DONT KNOW THIS HA HA NOT HELPING YOU BOT.

Step-by-step explanation:

4 0

2 years ago

Please help !!!!!!!!!!!!!!!!!!!!!!

Romashka-Z-Leto [24]

Answer:

1.107cm 2. 112 cm

Step-by-step explanation:

your welcome

7 0

2 years ago