What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?

Answers

Answer 1

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.


Related Questions

the sum of -8 and a number is at least 9 write an inequality and solve each problem

Answers

-8 + x >= 9

Solve for x by adding 8 to both sides:

X >= 17

Write the percent as a fraction or mixed number in simplest form.
31.25%


Please show work!

Answers

As a fraction the answer would be 5/16
See picture attached

According to the graph, how many students received an 90 for their first semester grade?

A: 0
B: 2
C: 6
D: 15

Answers

6 your welcome dbebebbe

Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answers

Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

The cost of labour per hour is $65.

Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.

We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now, according to question 157+3.75×x=400.75

⇒3.75x=400.75-157

⇒3.75x=243.75

⇒x=243.75/3.75

⇒x=65

Therefore, the cost of labour per hour is $65.

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Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%

Answers

The answer would be b, or 1.4%.

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.

The simple interest rate of the loan will be given as,

10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]

1,487.2 x 100 = 88r

r = (1487.2 / 88) x 100

r = 0.169 x 100

r = 16.9%

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

More about the simple interest link is given below.

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what's the interior angle of a regular octagon (eight sided shape) ?
please help asap

Answers

Answer:

135 degress

Step-by-step explanation:

Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.Which expressions both calculate the number of hours Demetrius works in a 5-day work week?

Answers

The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

If Latisha works [tex]x[/tex] hours each day

Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day

So for a [tex]5[/tex]-day working week, Demetrius will work

[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]

If we remove the brackets, we have the equivalent expression

[tex]5(x+1)=5x+5[/tex]

So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

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An equivalent expression for16x-8

Answers

Answer:

8(2x-1)

Step-by-step explanation:

16x-8=8(2x-1)

Do it quickly please for brainliest

Answers

Step-by-step explanation:

x/(2x - 4) - (2x - 11)/(x + 2) = 5/8x/(x - 2) - (4x - 22)/(x + 2) = 5/4x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)4(-3x² + 32x - 44) = 5x² - 20- 12x² + 128x - 176 - 5x² + 20 = 0- 17x² + 128x - 156 = 017x² - 128x + 156 = 0x = (64 ± 38)/17x = 6 or x = 26/17

Evaluate 4(2a – b) when a = –1 and b = 5.


–48


–28


–12


32

Answers

4(2(-1)-5)
4(-2-5)
4(-7)
=-28 (B)

Hey There!

Question:-

[tex]\sf \longmapsto \: 4(2a - b)[/tex]

This is a algebraic expression. The values of a and b are given. The values are as follows :-

a = -1

And,

b = +5 .

Solution:-

[tex]\sf \longmapsto4(2a - b)[/tex]

Note that a is multiplied with 2 that is :-

[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]

Now, Insert the values that is a = -1 and b = 5 :-

[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]

Here,we need to follow BODMAS Rule.

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

We need to solve the bracket's calculations first as it is the rule.

So, Firstly Multiply (2 × -1) :-

[tex]\sf \longmapsto4( - 2 - 5)[/tex]

Note that, (-) × (-) equals to (+).

So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.

[tex]\sf \longmapsto4( 5+ 2)[/tex]

On Simplification:-

[tex]\sf \longmapsto4( - 7)[/tex]

[tex]\sf \longmapsto4 \times (- 7)[/tex]

[tex]\sf \longmapsto \: - 28[/tex]

______________________________________

Henceforth the solution of the algebraic expression is :-

[tex] \bf \:- 28[/tex]

Option B is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Solve the system of equations
{y= 15x+9
{y= 1/2x–20

What is the solution to the system?

Answers

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]

18 POINTS! WHAT IS THE ANSWER TO 1 2 3 AND 4 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

J, B, A, L

Step-by-step explanation:

The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.

What type of triangle is AABC? Select all that apply.









Thank u

Answers

Answer:

obtuse and isosceles

Step-by-step explanation:

Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 39." What is Julio's number?

Julio's number is?

Answers

Answer:

30

Step-by-step explanation:

first, create two equations.

let x = Julio's number and y = answer for Julio's number substrates 17

[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]

by using substitution method, you will get

[tex]x = 30 \\ y = 13[/tex]

so the answer is 30

4567 x 1283490 =
I just want to give points : )

Answers

Answer:

5861698830

Step-by-step explanation:

solutions of the quadratic $x^2 + 7x - 18 = 0.$

Answers


(x^2+7x-18) can be factored into (x+9)(x-2). Set each part equal to zero and solve for x.

x+9=0 => x=-9
x-2=0 => x=2

I’m guessing the dollar signs aren’t supposed to be there.

The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic equation is given below.

x² + 7x - 18 = 0

Factorize the quadratic equation, then we have

x² + 7x - 18 = 0

x² + 9x - 2x - 18 = 0

x(x + 9) - 2(x - 9) = 0

(x + 9)(x - 2) = 0

x = 2, -9

The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.

More about the solution of the equation link is given below.

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The question is, “ Which fraction is equivalent to 2/6?
A. 3/7
B.3/9
C.3/12
D.3/8”
I think that’s the question she was trying to adk

Answers

Answer:

B .3/9

Step-by-step explanation:

2/6 = 0.333333

3/9=0.333333

Answer: 3/9

2/6=1/3 and 3/9=1/3 as well, making them equal

What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.

Answers

The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].

The given parameters:

Partition of the line segment = 5:6

The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;

total segment = 5 + 6 = 11

The value of each partition on the directed line segment is calculated as follows;

[tex]partition = \frac{1}{11} \times distance[/tex]

The distance between point D and point E is calculated as follows;

[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]

The partition of the two points (D to E) is calculated as follows;

[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]

Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].

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Answer:

B

Step-by-step explanation:

edge2021

20-5+15(25)=b+3+65(23)

Answers

Answer:

-1108

Step-by-step explanation:

Answer:

-b=-1108

Step-by-step explanation:

20-5+375=b+3+1495

-375 -375

20-5=b+3+1420

15=b+1423

-b -b

-b+15=1423

-15 -15

-b=1108

20-5+375=-1108+3+1495

390=390

NEED HELP ASAP WILL GIVE 100 PTS IN IT HAVE TO BE RIGHT AND I WILL GIVE BRAINIEST
You were helping a friend with their math homework and saw the following work and explanation for one of their answers: (7^0/7^5)^1/5=7^−4/5. They are equivalent because (7/7^5)^1/5=(7^−4)^1/5. You notice their work and explanation are incorrect. Explain why it is wrong and give the correct answer.

Answers

Answer:

Step-by-step explanation:

(7^0/7^5)^1/5

= (1 / 7^5)^ 1/5

= (7^-5)^1/5

= 7^-1

= 1/7 is the correct answer.

What is the number seven hundred thirty-one million, nine hundred thirty-four thousand, thirty written in a stranded form

Answers

Answer:

731,934,030

Step-by-step explanation:

hope this helps you

Answer:

731,934,030

Step-by-step explanation:

Hope it helps

Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.

Which expressions both calculate the number of hours Demetrius works in a 5-day work week?


5
x
+
1
and
5
(
x
+
1
)
5 x plus 1 and 5 times open paren x plus 1 close paren

(
x
+
1
)
×
5
and
5
×
x
+
1
open paren x plus 1 close paren times 5 and
5
×
x
+
1

5
(
x
+
1
)
and
5
x
+
5
5 times open paren x plus 1 close paren and 5 x plus 5

(
x
+
1
)
×
5
and
5
+
(
x
×
1
)
open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren

Answers

The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1)  and 5x + 5

We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.

So,

Let the amount of works done by Latisha be = xThen, the amount of works done by Demetrius will be = x + 1

Thus, the both expression that can determine the number of hours Demetrius works in five days is:

= 5(x + 1)  and 5x + 5

This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.

5 times open paren x plus 1 close paren and 5 x plus 5 is correct.

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Write an expression that represents 42 is the product of 6 and y

No explanation needed, just tell me the answer :)

Answers

Answer:

[tex]6y = 42\\y = 7[/tex]

Step-by-step explanation:

6 times 7 equals 42. It is just 6x7-42

The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?

Answers

2 because 114-90=24 12x2=24

HELP!!!

7 + y = ‐2

Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!

Answers

Answer:

y=-9

Step-by-step explanation:

7+y=-2

subtract 7 on both sides

Answer:

y= -9

Step-by-step explanation:

This is a one-variable equation.

7+y= -2

We can subtract 7 from both sides to isolate y

7 + y - 7= -2 - 7

After simplifying, we get

y= -9

May I please receive help?

Answers

Answer:

um

Step-by-step explanation:

i NEED help pleaseee​

Answers

almost 100% sure its one bevause anything with the exponent of 0 is one

Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2

Answers

Answer:

Las dimensiones del rectángulo son:

lado corto: 5 cm

lado largo: 8 cm

Step-by-step explanation:

Consideraciones:

El perímetro de un rectángulo se calcula así:

p = 2(lado corto + lado largo)

El área de un rectángulo se calcula así:

a = lado largo * lado largo

Planteamiento:

26 = 2(a+b)

40 = a*b

a = lado largo

b = lado corto

Desarrollo:

de la primer ecuación del planteamiento:

26/2 = a+b

13 = a+b

13-a = b

sustituyendo este último valor en la segunda formula del planteamiento:

40 = a(13-a)

40 = 13*a + a*-a

40 = 13a - a²

-a² + 13a - 40 = 0

a = {-13±√((13²)-(4*-1*-40))} / (2*-1)

a = {-13±√(169-160)} / -2

a = {-13±√9} / -2

a = {-13±3} / -2

a₁ = {-13-3} / -2 = -16 / -2 = 8

a₂ = {-13+3{ / -2 = -10 / -2 = 5

jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour

Answers

Answer:

1500 words

Step-by-step explanation:

300 times 5 equals 1500.

The original price of a TV is $525. Eddie buys the TV for
14% off the original price. Two weeks later Chuck buys the
same TV for 19% off. How much more money did Eddie
spend than Chuck?

Answers

Eddie spent $26.25 more dollars than Chuck
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