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2 years ago

Find the distance between (5,5) and (8,1)

Mathematics

2 answers:

vladimir2022 [97]2 years ago

5 0

$here \: is \: your \: answer...$

Step-by-step explanation:

Let (x1,y1) = (5,5) and (x2,y2) = (8,1)

By using distance formula,

$d \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

$d = \sqrt{ {(8 - 5)}^{2} + {(1 - 5)}^{2} }$

$d = \sqrt{ {(3)}^{2} + {( - 4)}^{2} }$

$d = \sqrt{9 + 16}$

$d = \sqrt{25}$

$d = 5 \: units$

Therefore, the distance between (5,5) and (8,1) is 5 units

Ira Lisetskai [31]2 years ago

4 0

Answer:

Step-by-step explanation:

Imagine a triangle with two of the corner points being the points (5,5) and (8,1)

The length and width would be 3 and 4 to find the hypotenuse (distance) do

3^2+4^2=x^2

9+16=x^2

25=x^2

x=5

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The value of a painting bought for $3,800 increases 2.6% each year. Use a graph to predict the value of the painting in 5 years.

Vinvika [58]

The value of the painting in 5 years is $4,320.36

<h3>Expoential functions</h3>

The standard exponential function is expressed as:

A = P(1+r)^t

Given the following

P = $3800
r = 2.6% = 0.026
t = 5 years

Substitute into the formula

A = 3800(1+0.026)^5
A = 3800(1.026)^5
A = 4,320.36

Hence the value of the painting in 5 years is $4,320.36

Learn more on exponential function here: brainly.com/question/12940982

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2 years ago

Pythagorean Brotherhood was a secret society but a little is known about it. Suggest principles of their education. Discuss the

yan [13]

Answer:

They use Phylosophy as a means of Spiritual cleansing.

The Pythagorean theorem.

The Demand that members must live in strict secrecy and loyalty.

The appeal to certain symbols like Tetraktys etc.

They believe the soul is destined for heaven,where it will United with the Divine.

They believe that reality including music and astronomy when at their repeat level are Mathematical in nature.

Step-by-step explanation: The Pythagorean brotherhood is believed to have originated from Sounthern Italian city known as Croton. It was started by a man called Pythagoras from Samos Greece, he is a controversial phylosopher.

The Pythagorean brotherhood formulated one the most widely used Theorems in Geometry which states that THE SQUARE OF THE HYPTHEMUS OF A RIGHT ANGLED TRIANGLE IS EQUAL TO THE SQUARE OF THE OPPOSITE AND THE BASE.

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3 years ago

A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times

max2010maxim [7]

The horse traveled 439.6 feet after walking around the track 5 times

Solution:

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

The circumference of circle is given as:

$C = 2 \pi r$

Where, "r" is the radius and $\pi$ is a constant equal to 3.14

$C = 2 \times 3.14 \times 14\\\\C = 87.92$

Thus the distance traveled by horse for one time in circular track is 87.92 feet

About how far had the horse traveled after walking around the track 5 times?

Multiply the circumference by 5

$distance = 5 \times 87.92\\\\distance = 439.6$

Thus the horse traveled 439.6 feet after walking around the track 5 times

5 0

3 years ago

Find the volume of a cube whose surface area is 150 ft2?

Brrunno [24]

Given:

Surface area of cube = 150 ft²

To Find:

Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface \: area_{(Cube)} = 6a^2 \\ \\$

Substituting the required values,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \frac{150}{6} = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \sqrt{25} = a \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\ \\$

Edge of the cube is 5 feet

Now,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\ \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}} \\ \\$

Hence,

Volume of the cube is 125 cu. feet

7 0

2 years ago

Read 2 more answers

Josh sold his bike for 10% less than he paid for it. IF he sold the bike for 585 how much did he pay for it?

tangare [24]

Answer:

To know how much he bought it for, let's consider the actual amount it be x.

Step-by-step explanation:

10% of x + $585 = x

x/10 + $585 = x

$585 = x-x/10

$585= 9x/10

9x=$5850

x=$5850/9

x=$650

.: the actual price was $650.

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3 years ago