How do I find the Circumference?

Just divide [tex]\mathbf u[/tex] by its magnitude:

[tex]\|\mathbf u\|=\sqrt{5^2+6^2+(-1)^2}=\sqrt{62}[/tex]

So a unit vector in the direction of [tex]\mathbf u[/tex] is

[tex]\dfrac{\mathbf u}{\|\mathbf u\|}=\dfrac5{\sqrt{62}}\,\mathbf i+\dfrac6{\sqrt{62}}\,\mathbf j-\dfrac1{\sqrt{62}}\,\mathbf k[/tex]

Then multiply this by -1 to get a unit vector pointing in the opposite direction.

To find the unit vector in the direction of a vector u, divide each component by its magnitude. For a vector u=i+j, the unit vector direction is ½(i+j), and the opposite direction is ½(-i-j).

To find a unit vector in the direction of a given vector u, we must first calculate the magnitude (or length) of u and then divide each component of u by that magnitude. Let's assume the vector u has components i and j. The magnitude of u, denoted as |u|, is given by the square root of the sum of the squares of its components, which is √(i² + j²). The unit vector in the direction of u is then the vector u divided by its magnitude, Û = (i/|u|, j/|u|).

In the case of the vector u = i + j, the magnitude is √(1² + 1²) = √2, and so the unit vector in the direction of u is Û = ½(i + j). Conversely, the unit vector in the direction opposite to u would be Û = ½(-i - j) since we are simply negating each component of the unit vector in the direction of u.

Answer:

its around 297mm so any choice you have there around that number choose it

Step-by-step explanation:

Answer:

Step-by-step explanation: Spinner lands on Green or blue

Answer: Land on Red or Green

Step-by-step explanation:

Hope it helps!

The answer is

10+x/6

Answer:

10 + x/6

Step-by-step explanation:

This is the equation you make

Answer:

Amplitude = 4; period = π; phase shift: x = -pie/2

Step-by-step explanation:

For a sine wave of the following type:

y = Asin(Bx + C) + D, we have that:

A represents the amplitude

C represents the phase shift

D represents the vertical shift

And the period is given by: [tex]\frac{2 \pi}{B}[/tex]

Therefore, considering: f(x) = −4 sin(2x + π) − 5, we know that sin(a + π) = -sin(a). Then:

f(x) = −4 sin(2x + π) − 5 = 4sin(2x)-5 = 4cos(2x - π/2) - 5

The amplitude equals 4

The period is T = π

The fase shift is: -π/2.

Therefore, the correct option is:

Amplitude = 4; period = π; phase shift: x = -pie/2

Answer:

(b) I think. Im sorry if this is wrong. <3

Step-by-step explanation:

A but it’s most likely B

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a always have solutions of the form

x < - a or x > a, thus

2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities

2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )

x < - 3 OR x > 2

Answer:

12.3 mph

Step-by-step explanation:

17.9 - 5.6 = 12.3

Answer:

12.3 mph

Step-by-step explanation:

Let x be our speed now

We increase the speed by 5.6 mph

Our new speed is x+5.6

We are going 17.9 mph

x+5.6 = 17.9

Subtract 5.6 from each side

x+5.6 -5.6 = 17.9-5.6

x =12.3

Answer:

C

Step-by-step explanation:

Substitute 2x into the equation where x is located. G(x)= (2x)^2=4x^2. This will be a graph which has been vertically stretched has a very steep curve to it facing up. It is C.

Answer: c is the correct answer

Step-by-step explanation:

Just took it

Answer:

n = 10

Step-by-step explanation:

[tex]\dfrac{4^8}{(4^2)^{-3}} \div 4^4 = 4^n[/tex]

[tex]\dfrac{4^8}{4^{-6}} \div 4^4 = 4^n[/tex]

[tex]4^8 \times 4^6 \div 4^4 = 4^n[/tex]

[tex]4^{(8 + 6 - 4)}= 4^n[/tex]

[tex]4^{10}= 4^n[/tex]

[tex]n = 10[/tex]

Answer:

Step-by-step explanation:

[tex]\dfrac{4^8}{(4^2)^{-3}}\div4^4=4^n\qquad\text{use}\ (a^n)^m=a^{nm}\\\\\dfrac{4^8}{4^{(2)(-3)}}}\div4^4=4^n\\\\\dfrac{4^8}{4^{-6}}\div4^4=4^n\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\4^{8-(-6)}\div4^4=4^n\\\\4^{14}\div4^4=4^n\qquad\text{use}\ a^n\div a^m=a^{n-m}\\\\4^{14-4}=4^n\\\\4^{10}=4^n\Rightarrow n=10[/tex]

Answer:

1

Step-by-step explanation:

Any number to the 0 power will always be 1.

Hope this helps ya out fam!

Welcome to Brainly btw!

~LoCoCoCo

Answer:

The answer should be 1

Step-by-step explanation:

Answer:

Part a) The measurement of arc KL is [tex]20\°[/tex]

Part b) The measurement of arc MJ is [tex]80\°[/tex]

Step-by-step explanation:

Let

x--------> the measure of arc KL

y-------> the measure of arc MJ

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]

substitute the given value

[tex]30\°=\frac{1}{2}(y-x)[/tex]

[tex]60\°=(y-x)[/tex]

[tex]y=60\°+x[/tex] ------> equation A

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

[tex]m<MFJ=\frac{1}{2}(x+y)[/tex]

substitute the given value

[tex]50\°=\frac{1}{2}(x+y)[/tex]

[tex]100\°=(x+y)[/tex]

[tex]y=100\°-x[/tex] ------> equation B

Equate the equation A and B and solve for x

[tex]60\°+x=100\°-x[/tex]

[tex]2x=100\°-60\°[/tex]

[tex]x=20\°[/tex]

Find the value of  y

[tex]y=100\°-20\°=80\°[/tex]

therefore

The measurement of arc KL is [tex]20\°[/tex]

The measurement of arc MJ is [tex]80\°[/tex]

Answer:

(c)

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos42°  = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex]

Multiply both sides by 12

12 × cos42° = x, hence

x ≈ 8.9 → (c)

The answer is C hope it helps :))))

Answer:

Step-by-step explanation:

Head: 5/2= 2.5, 2.5 x 3.14 = 7.85, 7.85 x 7.85= 61.6225

Neck: 2 x 2 = 4

Body: 7 x 10= 70

Arms: 8 x 3 = 24, 24 + 24 = 48

Legs: 4 x 2 = 8, 8 + 8 = 16

Shoes: 4 x 3= 12, 12 + 12 + 24

Triangle: 3 x 4= 12, 12/2 = 6, 6 + 6 = 12

Total: 61.6225 + 4 = 65.6225, 65.6225 + 70 = 135.6225, 135.6225 + 48= 183.6225, 183.6225 + 16 = 199.6225, 199.6225 + 24= 213.6225, 213.6225 + 12 = 225.6225

Answer:

5 pounds of vegetables.

the complex number z=-2+10i

is the sum of real number 2 in the -ve x asix

and imaginary number 10in the y axis

Answer:

We square the 2 smallest sides and sum them:

27^2 = 729 + 36^2 = 1,296

729 + 1,296 = 2,025

This equals the longest side squared 45^2 = 2,025

When this occurs the triangle is a right triangle.

Step-by-step explanation:

The dot plot in option (C) matches the given data

What is dot plot?

"A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis."

What is data?

"A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things are known as data."

∴ From the four options, the dot plot in option (C) matches the given data

Learn more about dot plot here

https://brainly.com/question/21862696

https://brainly.com/question/21571425

#Tag#SPJ2

To create a dot plot for the data, represent each number of pets by the correct number of dots above that number on a number line. Match your dot plot to the provided answer choices by looking for the same number and distribution of dots.

A dot plot is a graph that represents data by using dots over a number line. In this case, the number of pets owned by the students will be represented by the dots. The results from your teacher's query form a distinct pattern. Representing the number of pets with dots gives:

To match your dot plot to the given answer choices, look for a plot with the exact number and distribution of dots as shown in your drawing. Matching your results ensures accuracy in data representation.

https://brainly.com/question/22746300

#SPJ3

Answer:

The statement which describes the ratio of weight to mass and the value of x is ⇒ 98/10 ; = 110 answer B

Step-by-step explanation:

* Lets explain how to solve the problem

- The mass (kilograms) values are

  20 , 50 , x , 130 , 140

- The corresponding weight (newtons) values are

  196 , 490 , 1078 , 1274 , 1372

* Lets find the ratio between weight to mass

∵ 196/20 ⇒ divide up and down by 2

∴ 196/20 = 98/10

∵ 490/50 ⇒ divide up and down by 10

∴ 49/5 ⇒ multiply up and down by 2

∴ 49/5 = 98/10

∴ 490/50 = 98/10

∵ 1274/130 ⇒ divide up and down by 13

∴ 1274/130 = 98/10

∵ 1372/140 ⇒ divide up and down by 14

∴ 1372/140 = 98/10

- All the ratios between weight to mass equal 98/10

∴ 1078/x = 98/10 ⇒ by using cross multiplication

∴ 98(x) = 1078(10)

∴ 98 x = 10780 ⇒ divide both sides by 98

∴ x = 110

* The statement which describes the ratio of weight to mass and the

  value of x is 98/10; = 110

The ratio of weight to mass is constant. Write the ratio of weight to mass in simplest form to represent the table.  Answer: 9.8

What should the value of x be in the table? Answer 110 kilograms

Answer:

205

Step-by-step explanation:

Answer:

B) 7.94 × 10 8 miles

Step-by-step explanation:

Given

Distance between Earth and sun=E=9.3* 〖10〗^7  Miles

Distance Between Saturn and Sun=S=8.87* 〖10〗^8  Miles  

In order to find the distance between Earth and Saturn, we have to subtract the distance between earth and sun from the distance between Saturn and sun. So

Distance between Earth and Saturn=S-E

=(8.87* 10^8 )-( 9.3* 10^7 )

As the distances are in scientific notation, to perform subtraction, the powers of 10 in both quantities have to be same, so

=(8.87*10* 10^7 )-(9.3* 10^7 )

=(88.7* 10^7 )-(9.3* 10^7)

=79.4* 10^7  Miles

It can also be written as:

Distance between Earth and Saturn=7.94* 10^8 Miles  ..

____________________________________________________

Explanation for question A:

We are trying to found the amount of money he payed after 10 years.

He pays an annual (yearly) of $2,000, so we would just multiply 2,000 by 10, since we are trying to find the amount he point in 10 years, in which he pays $2,000 a year.

[tex]2000*10=20000[/tex]

Answer for Question A: Tim Tradesman paid $20,000 in premiums at the end of 10 years.

____________________________________________________

Explanation for question B:

In question B, we are trying to find the cash value of the policy at the end of 10 years.

To find the cash value at the end of 10 years, we would get the units of life insurance and multiply it by the cash value per unit

There would be 150 units of life insurance.

So we multiply:

[tex]150*89=13350[/tex]

Answer for Question B: The cash value of his policy will be $13,350 at the end of 10 years.

____________________________________________________

Explanation for question C:

In question C, we are trying to find the ratio of cash value to premiums paid.

Our cash value is 13,350 and we paid 20,000.

When you subtract 20,000 and 13,350, you would get 6,650.

[tex]20000-13350=6650[/tex]

Then when you add 20,000 and 13,350, you would get 33,350.

[tex]20000+13350=33350[/tex]

When you subtract 6,650 from 33,350, you would get 26,700

[tex]33350-6650=26700[/tex]

26,700 is 66.75% of 33,350.

Answer for Question c: The ratio as a percent for the cash value to premiums paid is 66.75%

____________________________________________________

Answer:

9 1/8

Step-by-step explanation:

1. first take away the fraction part and take the whole numbers off of the numbers and add them!

1 + 3 + 5 =  9

2. now take that aside and keep that for later... now lets focus on the

1/2, 3/4, and the 1/8 these are the STARS you will be focusing on!

3. now, find the common denominator in these fractions!!!

how? here is how!

       1. lets list these fractions:

1/2, 3/4, and 1/8

the common demoninator is 8 because 1. its one of the highest in this set and 2. if you multiply 1/2 and 3/4 n the numerator and the demoentator by 4 they can create  a 8 denminator and then you can add them!

4. Next, I wont be explaning you just watch!

3        x2             6

_     =               _                  

4          x2            8    (to get to 8 from 4 you multiply by 2! so you do the same for the upper one!!!)

1      x4          4

_     =        _

2       x4        8

you dont do anything to 1/8 because its already part of the eights family! :D

5. I know, it took us a LONG way here but here it is! the final! now, time to add them!

     4/8, 6/8 and 1/8

6. lastly...

1 1/8 + 9 = 9 1/8

Hope this helpes! sorry this was so long!!! :D

Answer: The range is the difference between the largest and the smallest number, in this case the range would be 0

Step-by-step explanation:

Answer:

You missed a few numbers there, but the answer is 5/8 I just had this question:))

Step-by-step explanation:

Check the picture below.

[tex]\bf \begin{array}{llll} \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\\\\ V=3\left( \cfrac{\pi r^2 h}{3} \right)\\\\ V=3(33)\\\\ V=99 \end{array} \qquad \qquad \begin{array}{llll} \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}\\\\ V=33\\\\\\\\\\ \end{array}[/tex]

notice, the volume of the cone is one-third of the cylinder's.

Answer:

B

Step-by-step explanation:

To find the value [tex]F(-9)[/tex] of the polynomial function [tex]F(x)=-x^2-10x-2,[/tex] you have simply substitute [tex]x=-9[/tex] into the function expression (write -9 instead of x):

[tex]F(-9)=-(-9)^2-10\cdot(-9)-2\\ \\=-81+90-2\\ \\=7[/tex]

Final answer:

To find f(-9) in the given function, substitute -9 for x and evaluate by following the transformation rules.

Explanation:

We can rewrite a given function as y = f{-2(x+1)}. To find f(-9), we substitute -9 for x in the function.

This gives us f(-9) = f{-2(-9+1)}. Calculating further results in f(-9) = f{-2(-8)}.

Therefore, to find f(-9), we evaluate the function at x = -8, and the value depends on the specific function provided.

Answer:

A = 314 inches^2

Step-by-step explanation:

We know the diameter of the glass.  We need to find the radius

d = 2r

20 = 2r

Divide each side by 2

20/2 = 2r/2

10 =r

To find the area of the glass

A = pi r^2

A = pi * 10^2

A = pi*100

A = 100 *(3.14)

   = 314 in^2

Answer:

(5x+3y) and (5x-3y)

Step-by-step explanation:

From the concept on difference between two squares;

a² - b² = (a+b)(a-b)

Therefore;

25x² - 9y² = (5x+3y) (5x-3y)

Therefore the dimensions of the square are (5x+3y) and (5x-3y)

Answer:

the dimensions of the rectangle are (5x + 3y) and (5x - 3y)

Step-by-step explanation:

The area of a rectangle is 25x^2 - 9y^2 square units.

To find the dimensions of a rectangle we need to factorize the expression completely.

We know that (a + b)(a - b) = a^2 - b^2

In this case: a^2 = 25x^2 and b^2 = 9y^2

So a = sqrt(25x^2) = 5x

And b = sqrt (9y^2) = 3y

Then the solution is:

(a + b)(a - b) = (5x + 3y)(5x - 3y)

Then the dimensions of the rectangle are (5x + 3y) and (5x - 3y)

lemme turn upwards the prims a little, check the picture below.

notice the triangle has a base of 4 and a height of 3, and the prism is really just two triangles and 3 rectangles, so we can simply get the area of each figure and sum them up, and that's the area of the prism.

[tex]\bf \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(4)(3) \right]}+\stackrel{\textit{right-side rectangle}}{(5\cdot 6)}+\stackrel{\textit{left rectangle}}{(6\cdot 3)}+\stackrel{\textit{ground rectangle}}{(6\cdot 4)} \\\\\\ 12+30+18+24\implies 84[/tex]

Answer:

Step-by-step explanation:

I believe the answer is 5/13 chance because 8 black socks then 5 yellow so In total there are 13 socks and the question revolves around the yellow socks so 5/13 chance. Hope it helps. :)

5/13 because there is 13 socks all together and 5 of them are yellow