compute the distance between (9,-5,4) and (-10,3,4)

Answers

Answer 1

Answer:

~20.6155

Step-by-step explanation:

To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.

The length of a vector V is:

[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]

The vector is:

(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)

So the length is:

[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]


Related Questions

How many inches are equal to 14 feet?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Random GUIDE for you to go by}\downarrow[/tex]

• [tex]\large\textsf{12 inches = 1 foot}[/tex]

• [tex]\large\textsf{You have to MULTIPLY the \# (NUMBER) of feet by 12 (also known as} \\\large\textsf{your inches)}[/tex]

[tex]\large\text{So now that you have that little guide, we can answer your question.}[/tex]

[tex]\large\textsf{\# of FEET in this given word problem/question is: \bf 14}[/tex]

[tex]\large\textsf{So, we have to multiply that by the inches: \bf 12}[/tex]

[tex]\large\textsf{Equation: }\mathsf{14\ feet \times 12\ inches = \bf 168 \ inches }[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 168 inches}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

BRAINLY TO WHOEVER HELPS ASAP

Answers

1. A. (-2,-3)
2. D. IV

The area of a poster board is (x2 + 3x − 10) square inches. Find the dimensions of the poster board if x = 16. The dimensions of the poster board are

Answers

Answer:

16x2+16x3-10=w

32+48-10

80-10=

70


Inez was chosen by her teacher to find the integer that has a square root
closest to 3 without going over and write it on the board. Which correct
answer did Inez write on the board?
A. 6
B. 8
C. 10
D. 12

Answers

B. 8, since 8 is one the closest numbers to nine and is smaller than 9.

A factor of a number that, when multiplied by itself, gives the original number is called a square root.

The square root of 3 is 9.

The integer that has the nearest to the integer that has a square root of 3 is √10.

What is a square root?

A factor of a number that, when multiplied by itself, gives the original number.

We have,

9 is a square root of 3.

The nearest square root of 3 can be 8 or 10.

The value of the square root of 8.

= √8

= 2.83

The value of the square root of 10:

= √10

= 3.16

The nearest can be determined by finding out the difference between each of its values with 3.

For √8,

= 3 - 2.83

= 0.17

For √10,

= 3.16 - 3

= 0.16

We see that √10 is nearest to the integer that has a square root of 3.

Thus the integer that has the nearest to the integer that has a square root of 3 is √10.

Learn more about square roots here:

https://brainly.com/question/3120622

#SPJ5

Steve reaches into a bag with 5 marbles 3 yellow marbles and 2 green marbles and randomly selects one the he puts the marble back and sam reaches into the same bag and randomly selects a marble is this independent or dependent

Answers

Answer:

Independent

Step-by-step explanation:

The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.

192.692 - 58.1987
Estimate The Difference ​

Answers

Answer: 134.4933

Step-by-step explanation: 58.1987 minus 192.692 is 134.4933

There are rainy days, sunny days, and cloudy days.
- September and October had the same number of rainy days.
- There are 10 rainy days in total for both months.
- There were 3 more cloudy days in October then in September.
How many sunny days were there in September?

Answers

Answer:

3 more sunny days in September then in October

pls help
3(x+2)=3x < 2x+18

Answers

Answer:

Step-by-step explanation:

3x + 6  - 3x < 2x + 18

6 < 2x + 18

-12 < 2x

-6 < x

Solution Set = {-5,-4,-3,-2,-1,0......}

Please mark as brainliest for further answers :)

Can you plz help me real quick I want good grades so I don't disappoint ​

Answers

Answer:

x= 6

∠FGT = 55

∠GFE = 65

Step-by-step explanation:

A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area

Answers

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².

Help me please!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

if u follow the trend u get 260 and since there's no 260 I'd say the best answer is 240

Answer:

A i think not to sure

Please help? Is this correct i need tight now poease

Answers

Answer:

Yes

Step-by-step explanation:

Your answer is correct :) good job and keep it up!

3. The table shows the average annual salary in dollars based on
the minimum level of education required for two occupations.
Occupations
Occupation Average Annual Salary Level of Education
(dollars)
Required
Accountant 71,040
Bachelor's degree
41,700
High school diploma
preparer
Тах,
Based on the average annual salaries in the table, how much
more would an accountant earn than a tax preparer over a 30-
year career?

Answers

Answer:

the answer is $880.200

Step-by-step explanation:

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include values that are undefined for tan or sin(ϴ).

Answers

Answer:

3 solutions:

[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is [tex]tan(\frac{\theta}{2})[/tex] so let's focus on that part of the equation first.

We know that:

[tex]tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}[/tex]

therefore:

[tex]cos(\frac{\theta}{2})\neq0[/tex]

so we need to find the angles that will make the cos function equal to zero. So we get:

[tex]cos(\frac{\theta}{2})=0[/tex]

[tex]\frac{\theta}{2}=cos^{-1}(0)[/tex]

[tex]\frac{\theta}{2}=\frac{\pi}{2}+\pi n[/tex]

or

[tex] \theta=\pi+2\pi n[/tex]

we can now start plugging values in for n:

[tex] \theta=\pi+2\pi (0)=\pi[/tex]

if we plugged any value greater than 0, we would end up with an angle that is greater than [tex]2\pi[/tex] so,  that's the only angle we cannot include in our answer set, so:

[tex]\theta\neq \pi[/tex]

having said this, we can now start solving the equation:

[tex]tan(\frac{\theta}{2})=sin(\theta)[/tex]

we can start solving this equation by using the half angle formula, such a formula tells us the following:

[tex]tan(\frac{\theta}{2})=\frac{1-cos(\theta)}{sin(\theta)}[/tex]

so we can substitute it into our equation:

[tex]\frac{1-cos(\theta)}{sin(\theta)}=sin(\theta)[/tex]

we can now multiply both sides of the equation by [tex]sin(\theta)[/tex]

so we get:

[tex]1-cos(\theta)=sin^{2}(\theta)[/tex]

we can use the pythagorean identity to rewrite [tex]sin^{2}(\theta)[/tex] in terms of cos:

[tex]sin^{2}(\theta)=1-cos^{2}(\theta)[/tex]

so we get:

[tex]1-cos(\theta)=1-cos^{2}(\theta)[/tex]

we can subtract a 1 from both sides of the equation so we end up with:

[tex]-cos(\theta)=-cos^{2}(\theta)[/tex]

and we can now add [tex]cos^{2}(\theta)[/tex]

to both sides of the equation so we get:

[tex]cos^{2}(\theta)-cos(\theta)=0[/tex]

and we can solve this equation by factoring. We can factor [tex]cos(\theta)[/tex] to get:

[tex]cos(\theta)(cos(\theta)-1)=0[/tex]

and we can use the zero product property to solve this, so we get two equations:

Equation 1:

[tex]cos(\theta)=0[/tex]

[tex]\theta=cos^{-1}(0)[/tex]

[tex]\theta={\frac{\pi}{2}, \frac{3\pi}{2}}[/tex]

Equation 2:

[tex]cos(\theta)-1=0[/tex]

we add a 1 to both sides of the equation so we get:

[tex]cos(\theta)=1[/tex]

[tex]\theta=cos^{-1}(1)[/tex]

[tex]\theta=0[/tex]

so we end up with three answers to this equation:

[tex]\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}} [/tex]

Answer:

its D. 3

Step-by-step explanation:

for speed runners

Triangle A B C. Angle C is 90 degrees. Hypotenuse side A B is c, C B is a, C A is b. Solve the right triangle shown in the figure. Angle B = 23.4 degrees, Side A B = 3.3 millimeters, angle C = 90 degrees a. Side B C = 2.2 millimeters, Angle A = 66.6 degrees, Side A C = 2.4 millimeters c. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 2.2 millimeters b. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 1.3 millimeters d. Side B C = 1.3 millimeters, Angle A = 66.6 degrees, Side A C = 3.0 millimeters

Answers

*see attachment for the figure

Answer:

Side BC = 3.0 millimeters, Angle A = 66.6 degrees, Side AC = 1.3 millimeters

Step-by-step explanation:

Given:

C = 90°

B = 23.4°

AB = c = 3.3 mm

Required:

<A, BC, and AC

Solution:

✔️m<A = 180° - (90° + 23.4°) (sum of triangle)

m<A = 66.6°

✔️To find BC and AC, apply trigonometric function:

Reference angle = 23.4°

Hypotenuse = 3.3 mm

Opposite = AC

Adjacent = BC

✅Apply CAH to find AC:

Cos 23.4 = Adj/Hyp

Cos 23.4 = BC/3.3

3.3 × Cos 23.4 = BC

3.02859027 = BC

BC ≈ 3.0 mm

✅Apply SOH to find AC:

Sin 23.4 = Opp/Hyp

Sin 23.4 = AC/3.3

3.3 × Sin 23.4 = AC

1.31058804 = AC

AC ≈ 1.3 mm

Answer: B bc=3.0mm, A=66.6, AC=1.3mm

Step-by-step explanation:

y = 5x + 2
4x - y = 0
Is (2 , 12) a solution of the system?

Answers

Step-by-step explanation:

no , (2,12) only works for the 1st one

Answer:

Step-by-step explanation:

No

I need help graphing this

Answers

Answer: y=4/3x-2

Y-Intercept: -2

Slope: 4/3

Step-by-step explanation:

On the Y-Axis put -2 because thats the Y-intercept.

And for slope graph a slope of 4/3

Someone plz help!! Plz read the question

Answers

Answer:

preferred

ability

extraordinary

parading

playing

squeaky clean

occasion

immediately

You are entering a fitness competition at school. Students train for several weeks to win prizes for different competition. 2) Last years winner set a school record by completing 37 sit-ups. You need to find out how many weeks you need to train to beat this record. Part B: Write the inequality and graph the solution. How many weeks will it take you to break the record?

Answers

Answer:

first you divide 2by 37 that will be the answer

can someone please help me ​

Answers

Answer:

A

Step-by-step explanation:

The formula is y-b=m(x-a)

m is the slope

a is the x term

b is the y term

y-6=3(x-5)

Answer:think the answer c

Step-by-step explanation:

Recently one morning the temperature at 7:00 AM was 44 degrees Fahrenheit. If the temperature rose an average of 2 degrees per hour and peaked at 3:00 PM, what was the temperature at 3:00 PM?

Answers

It would be 60 degrees at 3:00 PM

McKenna was asked to write the following expression in standard form.

3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)
3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4
a. McKenna made her first mistake in ____________

Question 2
b. The correct expression in standard form is ______

basically pls fill in the blanks :]

Answers

Answer: -15a - 27

Step-by-step explanation:

McKenna made her first mistake in Step 2. You would need to multiply -5 by 3a and 6, not add it to 3 first.

The correct steps would be:  

3−5(3a+6)

3+(−5)(3a+6) Step 1

3 - 15a - 30 Step 2

-15a - 27 Step 3

what is the x-intercept of the graph 4x-6y=12

Answers

So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2

Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters

Answers

Answer:

D. BC = 12cm, <B = 45, AC = 12cm

Step-by-step explanation:

Edge 2021

The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

What are right triangles?

A right triangle is a triangle that has one of its angle measure to be 90 degrees.

From the question, we have:

Angle B = 45 degrees

Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)

Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm

Read more about right triangles at:

brainly.com/question/2437195

given that f(x) = 3x + 5, find f(x+2)

Answers

f(x+2) = 3(x+2) + 5
= 3x + 6 + 5
= 3x + 11

Answer:

f(x)=3(x)+5

f(x+2)=3(x+2)+5

=3x+6+5

=3x+11

hello please help thanks

Answers

Evaporation Is Your Answer

The first step of the water cycle is evaporation. About 85% of the water vapor in the air comes from water that evaporated from the oceans.

PLEASE SHOW ME HOS TO DO IT!!

Answers

Answer:

Ok

Step-by-step explanation:

the answer is in the link below




xinrhuf//.com

Please help and thank you

Answers

Answer:

D

Step-by-step explanation:

PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)

Answers

1:

cos (37)= 11/x

x(cos(37))= 11

x= 11/cos(37)

x= 14.4

2:

tan (0)= 4/13

0= tan^-1/ 4/13

0= 0.3

x= 0.3

have a nice day :)

Step-by-step explanation:

solution:

A.

relation between hypotenuse and base is given by cos angle

so

[tex] \cos(ø) [/tex]=base/hypotenuse=11/x

cos37°=11/x

x=11/(cos37°)=13.77units

side indicated =x=13.77units

solution:

B.

relation between perpendicular and base is given by tan angle

so

[tex] \tan(ø) [/tex]=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

(NO FAKE LINKS PLS) Use the geometric mean to find the value of e

Answers

Answer:

I have already answered this in your last question:)

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