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3 years ago

The circumference of a circle is defined to be the

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

Answer:

The distance around a circle.

Step-by-step explanation:

Lady bird [3.3K]3 years ago

5 0

Answer:

The circumference of a circle is it's perimeter

(ie the distance around it's edge)

It is found that the circumference of a circle is

always π ≈ 3.141593 times longer than its diameter,

regardless of the circles size.

This relationship is given by the equation

C = πD

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Bruno uses a piece of wrapping paper with dimensions 1 and 1/4 feet by 3 feet to wrap a gift. What is the total area of the pape

Leto [7]

Answer: $A=3\dfrac{3}{4}\ ft^2$

Step-by-step explanation:

Given: The dimensions of the wrapping paper :

$1\text{ and}\dfrac{1}{4}\text{ feet }\text{ by 3 feet}\\\\\text{i.e }1+\dfrac{1}{4}\text{ feet }\text{ by 3 feet}\\\\\text{i.e }\dfrac{5}{4}\text{ feet }\text{ by 3 feet}$

Now, we know that the area of a rectangle is given by :-

$A=length*width$

Now, the area of the wrapping paper is given by :-

$A=\dfrac{5}{4}\times3=\dfrac{15}{4}=3\dfrac{3}{4}\ ft^2$

4 0

3 years ago

Read 2 more answers

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Pavlova-9 [17]

Volume 68892837 volume 64929 could 7383 could 9

6 0

4 years ago

Find the surface area of the prism.

weqwewe [10]

Answer:

160 m²

Step-by-step explanation:

The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.

Area of front surface

Area of triangle= ½ ×base ×height

Base= 6 m

Height= 4 m

Area= 6(4)= 24 m²

Area of back surface

Area of back surface

= area of front surface

= 24 m²

Area of right surface

Area of rectangle= length ×breadth

Length= 7 m

Breadth= 5 m

Area= 7(5)= 35 m²

Area of left surface

Area of left surface

= area of right surface

= 35 m²

Area of bottom surface (base of prism)

Area of rectangle= length ×breadth

Length= 7 m

Breadth= 6 m

Area= 6(7)= 42 m²

The total surface area can be found by adding all of the surface areas we have found earlier.

Total surface area

= 24 +24 +35 +35 +42

= 160 m²

6 0

2 years ago

Prove that the natural number x is prime if and only if x>1 and there is no positive integer greater than 1 and less than or

UNO [17]

There are several ways to prove a mathematical statement. These ways include: by contradiction, by induction, contraposition, etc

<h3>How to prove the statement by contradiction</h3>

To prove the statement, we make use of proof by contradiction

From the question:

x is a composite number such that: x > 1

This means that 1 < a < x is a factor of x

This can be represented as:

$x = a * b$

Where:

a and b are positive integers
1 < a, b < x

Assume that b is less than or equal to a.

Also, let

$b > \sqrt x$

This means that:

$\sqrt x < b \ge a$

The above becomes

$\sqrt x < a$

Rewrite as:

$a > \sqrt x$

So, we have:

$x = a * b > \sqrt x * \sqrt x = x$

The above means that:

$x > x$

The above inequality is a contradiction because, a number x cannot be greater than itself

This means that, the supposition is wrong.

Hence, the given statement has been proved by contradiction

Read more about proof by contradiction at:

brainly.com/question/8062770

3 0

2 years ago

How are the two functions f(x) = 0.7(6)^x and g(x) = 0.7^-x related to each other?

lubasha [3.4K]

To find the relationship between them, lets do some algebra:

f(x) = (7/10)^x

g(x) = (7/10)^-x

if we do:

f(x) * g(x) = 1

due to exponents multiplying addition law, therefore, the relationship, gives:

f(x) = 1 / g(x)

5 0

3 years ago