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2 years ago

What is the ratio the defines pi?

Mathematics

1 answer:

Rufina [12.5K]2 years ago

5 0

Answer:

Step-by-step explanation:

By definition, pi is the ratio of the circumference of a circle to its diameter. In other words, pi equals the circumference divided by the diameter (π = c/d). Conversely, the circumference of a circle is equal to pi times the diameter (c = πd).

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What’s y of 2x+3y=7.20 and 4x+2y=8.80

Arturiano [62]

Answer:

(x,y)=(3/2,7/5)

Step-by-step explanation:

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2 years ago

The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the obje

Liono4ka [1.6K]

Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Step-by-step explanation:

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2 years ago

Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.

Yuri [45]

Answer:

$D(x)= x\sqrt{2}$

Step-by-step explanation:

Given

$Side = x$

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

$D^2= Side^2 + Side^2$

Substitute x for Side

$D^2= x^2 + x^2$

$D^2= 2x^2$

Take the square root of both sides

$D= \sqrt{2x^2$

Split

$D= \sqrt{2} * \sqrt{x^2$

$D= \sqrt{2} * x$

$D= x\sqrt{2}$

Express as a function.

$D(x)= x\sqrt{2}$

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2 years ago

JoAnne is depositing money into the bank account.After 3 months there is $150 in the account.After 6 months, there is $300 in th

Nataly [62]

Answer:

I believe that it is 150 per month but im not sure

Step-by-step explanation:

150 * 3 = 300

6 0

2 years ago

Read 2 more answers

You survey your class to find out the types of pets they have at home. Below are the results: Dog, Dog, Cat, Cat, Cat, Dog, Hams

Fynjy0 [20]

Answer:

a) Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

Explanation:

a. Make a frequency table for the results.

There are four kind of pets: dog, cat, hamster, and fish.

A frequency table shows the number of items for each category (kind of pets).

Count the number of each kind of pet:

Dog: 4
Cat: 3
Hamster: 1
Fish: 2
Total: 10

With that you build your frequency table.

Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b. Relative frequencies of each animal type.

The relative frequency is how often an outcome appears divided by the total number of outmcomes.

Here the total number of outcomes is 10 (the ten pets).

So, calculate each relative frequency:

Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1

An important feature of the relative frequency is that they must add up 1. Check:

0.4 + 0.3 + 0.2 + 0.1 = 1.

c. Using the relative frequencies explain which animals are most and least popular.

Popularity is determined by the frequency with each outcome is repeated. The most popular is the most repeated. The least popular is the least repeated.

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

7 0

3 years ago