Find the distance between the origin and the point (10,45,57)

Answers

Answer 1

Answer:

Step-by-step explanation:

3D space  (x, y, z)  = (10, 45, 57)

I will use  x² + y² = (2D Hyp)²  and (2D Hyp)² + z² = (3D Hyp)²

which is just x² + y²  + z² = (3D Hyp)²

10² + 45²  + 57² = (3D Hyp)²

100 + 2025 + 3249    =  5374   =   (3D Hyp)²    the destance from the origin

                                                   =  73.31    the destance from the origin


Related Questions

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...

Answers

Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

In an Arithmetic Sequence, there is a common number added or subtracted from each term to get the next
In a Geometric Sequence, there is a common number multiplied or divided from each term to get the next

4, 9, 14
(4+5) = 9
(9+5) = 14

So sequence is arithmetic and the common difference is 5

The angles in this diagram are complementary. What is the value of x?
(4x)
(2x + 6)

Answers

Answer:

2(4)+6(4)

Step-by-step explanation:

Distribute

(4)(2+6)

(4x)(2x+6)2(4)+6(4)

2x(4x)+6(4x)

Solution

2(4)+6(4)

Please give brainliest :)

2 5/6 times 8 as a mixed number.

Answers

Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

    6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

   3

Please answer correctly with factual information for brainliest.

Answers

Answer:

I would say 54 units (sorry if I'm wrong)

Which measure of variability is the most appropriate for this set of values?

13, 42, 104, 36, 28, 6, 17

A.
range
B.
interquartile range
C.
mean absolute deviation
D.
absolute deviation
E.
either interquartile range or mean absolute deviation

Answers

Answer:

The answer is 100% NOT absolute deviation,

My first guess was range but their is a chance it's wrong.

Answer:

B.interquartile range

Step-by-step explanation:

Got correct on eedmentum...

HELP WILL MARK BRAINLIEST

Answers

Answer:

Runner A

Step-by-step explanation:

most consistent pace dots are close together and don't have any outliers like b and c do

Solve for x using the picture above.

Answers

There are two tengents in the picture. The two tangents being drawn from the same point to the circumference of the same circle are aslo the same in their lengths. In other ways, the two tengents in the picture are the same.
So, 4x - 2= 3x + 18
4x - 3x = 18 + 2
x = 20
So, the value of x is 20.

SOMEONE HELP AS SOON AS POSSIBLE!!!! please:))

Answers

This is an isosceles triangle which means two of the side lengths are equal. Those are the given side and the side labelled y
Therefore y = [8 (root 3)] / 3

Using Pythagorean Theorem we know
x^2 = a^2 + b^2
x = (root 384) / 9
x = [ 8 (root 6) ] / 9

Today, 5 friends went out for lunch. Their total bill was $20.82, including tax and gratuity. One of the ordered only soda and needed to pay only $1.70. The
other 4 friends ordered the same daily special. How much did each of the other friends need to pay?

Answers

i don’t know i’m very sorry but how about $19.89

A marketing research manager analyzes the data collected through loyalty cards at a popular local coffee shop. She investigates the relationship between repeated visits and the age of the customer. Interpret the analysis results, if her findings show that the correlation coefficient between these two variables is 0.64. What does it mean from a marketing perspective

Answers

Answer: See explanation

Step-by-step explanation:

Correlation is a term which simply measures the strength of the linear relationship that exist between two variables that are quantitative.

In the scenario in the question, since the correlation coefficient between the variables is +0.64, it means that there is a positive correlation between the two variables which means there's a positive relationship between the repeated visits to the coffee shop and the customer's age but they're weakly positively correlated .

In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the length of side JL?
A.
27 feet
B.
30 feet
C.
3 feet
D.
4 feet

Answers

Answer:

D

Step-by-step explanation:

every 2 sides of a triangle has to be bigger than the 3rd side

The Sine Function

If you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?

Answers

Answer:

The 'Days since Jan 8' would be represented by the independent variable. 'The Amount of Moon Visible' would be represented by the dependent variable.

Step-by-step explanation:

I calculated it logically


Select the correct solution in each column of the table

Answers

Answer:

2,1,3

Step-by-step explanation:

What is the measure of angle SQR?

Answers

Answer:

All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square

It is and sir butbgfbbgk

• 3.3
• 5.0
• 6.7
• 8.4
• 10.1
Which one is it?

Answers

Answer: 5.0

Step-by-step explanation:

Mr. Litterski creates a ball from rubber bands.



The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!

Answers

Answer:

The surface area of the ball is of 29 square inches.

The volume of the ball is of 15 cubic inches.

Step-by-step explanation:

The ball has an spherical format:

Circumference of a sphere:

The circumference of a sphere is 6.2832 times the radius.

Surface area

[tex]A = 4\pi r[/tex]

In which r is the radius.

Volume:

[tex]V = \frac{4\pi r^3}{3}[/tex]

The circumference of the ball is 9.4 inches.

So the radius is:

[tex]6.2832r = 9.4[/tex]

[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]

Surface area

[tex]A = 4\pi(1.53)^2 = 29.3[/tex]

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.

Volume:

[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.

The half-life of caffeine in a person's bloodstream is about 6 hours. If a person's bloodstream contains 70 milligrams of caffeine,how much of that caffeine will remain after 15 hours ?

Answers

Answer:

12.4 mg

Step-by-step explanation:

a = p(1/2)^(t/h)

p is the initial quantity = 70

t is the time = 15

h is the half life = 6

plug in the givens

a = 70(1/2)^(15/6)

a = 12.3743686708

12.4 mg

Quita bought a jacket priced at $90. The sales tax rate on the jac
was 7%.
How much was the sales tax in dollars and cents on this jacket

Answers

Answer:

Sales tax= $6.30

Jacket= $0.9630

Step-by-step explanation:

Jacket price= $90

Sales tax= 7%

Sales tax in dollars

=7/100×90

=$6.30

Jacket in cents

=$90+$6.30

=$96.30 ÷100

=$0.9630

There are 24 students in a class. 8 of the students are boys. Write th amount of the boys in the class as a fraction in its simplest form.

Answers

Step-by-step explanation:

the number of students =24

number of boys =8

to have in fraction

8/24 = 1/3

Please what’s the answer will give brainliest

Answers

Answer:

8.66 cm

Step-by-step explanation:

From the diagram :

The vase of the triangle = 9.9cm - 4.9 cm = 5cm

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Opposite = √10²-5²

Opposite = √100 -25

Opposite= √75

= 8.66 cm

ILL GIVE BRAINLIEST PLZZ I NEED THIS

Answers

Answer:

Q1

[tex]by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37[/tex]

Q2

[tex]by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154[/tex]

Grade 5 math. ! 30 points !

During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.


What day in June will jessica volunteer at both locations?


Anwser Options

june 6

june 10

june 18

june 20

june 24

june 30

Answers

The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

What is LCM?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

To know more about LCM:

https://brainly.com/question/20739723

#SPJ2

Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.

Which function is represented by the graph ?!

Answers

Testing testing testing testing testing

A prism_________ has two congruent, parallel bases.
A: sometimes
B: always
C: never

Answers

A prism always has two congruent, parallel basses.

Answer:

A prism will always have two congruent parallel bases.

Step-by-step explanation: the definition of a prism is: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Hope that helps and rate brainiest please!

help asap pls need help by 1230 pt thanks

Answers

Answer:

acute, isosceles

Step-by-step explanation:

Acute: all angles are less than 90°

Isosceles: 2 sides are the same length, the other is not

Have a great day!  :D

What time is it? Cuz for me it’s 2:55 bby

Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles

Answers

Answer:

Opposite angles are the same measure.

Angles around a point = 360°

When you add all the angles, you get 360.

Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.

Then, you half that value( divide by 2) and this is to find the measure of the other angle

The answer is angle around the point =360

please help asap!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

X=29

Step-by-step explanation:

Sin62=x/33

X=29.137≈29

find the perimeter of each polygon. Assume that lines which appeared to be tangent are tangent. ​

Answers

9514 1404 393

Answer:

  A)  54.4

Step-by-step explanation:

The perimeter of a circumscribing quadrilateral is twice the sum of the lengths of opposite sides.

  P = 2(17.6 +(2.9 +6.7)) = 2(27.2)

  P = 54.4

Answer:

perimeter of each polygon

Image below! PLEASE HELP! THIS IS DUE!

Answers

Answer:

270 if not simplified and

1/1 if simlifies

Step-by-step explanation:

A property that offers a 7.5 percent return on the listing price has a monthly net of $810.
The property is listed at

Answers

Answer:

$129,600

Step-by-step explanation:

Given that

The return percentage is 7.5%

And, the monthly net is $810

We need to find the property listed price

Since we assume that the return percentage is on annual basis

So, for monthly, it is

= 7.5% ÷ 12

= 0.625%

Now the property listed price is

= $810 ÷ 0.625%

= $129,600

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