simplify the fraction 84/96​

Answer: The above answer is correct.

Step-by-step explanation: I got this correct on Edmentum.

Answers

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]

This exercise consist in finding the resulting Vector Matrix for each Angle of Rotation and a given Vector Matrix. The result is found by multiplying the given Vector Matrix for a Rotation Matrix, defined below as follows:

[tex]A' = R\cdot A[/tex] (1)

Where:

[tex]A[/tex] - Given vector matrix.

[tex]R[/tex] - Rotation matrix.

[tex]A'[/tex] - Resulting vector matrix.

For 2-dimension Vector Matrices, The Rotation Matrix is defined by the following entity:

[tex]R = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\\\end{array}\right][/tex] (2)

Where [tex]\theta[/tex] is the Angle of Rotation, in radians.

Let be [tex]A = \left[\begin{array}{cc}x\\y\end{array}\right][/tex], the resulting vector matrix is found by (1) and (2):

[tex]A' = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\end{array}\right] \cdot \left[\begin{array}{cc}x\\y\end{array}\right][/tex]

[tex]A' = \left[\begin{array}{cc}x\cdot \cos \theta - y\cdot \sin \theta\\x\cdot \sin \theta +y\cdot \cos \theta \end{array}\right][/tex]

If we know that [tex]A = \left[\begin{array}{cc}-3\\-5\end{array}\right][/tex], then the resulting vector matrix for each angle is, respectively:

[tex]\theta = \frac{\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}1.414\\-5.657\end{array}\right][/tex]

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

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex]

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

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex]

[tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex]

[tex]\theta = \frac{5\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.83\\0.098\end{array}\right][/tex]

[tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex]

Therefore, we have the following answers:

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]

Related question: https://brainly.com/question/11815899

Answer:

(1) 20%

Step-by-step explanation:

→ Find the difference in price

200 - 160 = 40

→ Divide difference by original price

40 ÷ 200 = 0.2

→ Multiply the answer by 100

0.2 × 100 = 20%

The value of the number is 4.

Series = {6,1,8,4,2,7}

Let the next number in the series be x.

looking at the pattern the series can be classified into two

As the x is falling under the odd number series the,

we can see the difference in the odd series is following -2, +6, -2, +6; therefore, following the same series we get

6 + 2 = 8

8 - 6 = 2

2 + 2 = 4

Hence, the value of the number is 4.

Learn more about series and sequence:

https://brainly.com/question/8195467

Answer:

$23.45

Step-by-step explanation:

5.79 x 2.25 = 13.03

5.79 x 1.8 = 10.42

total = 23.45

Answer:

3x+2y=24

Step-by-step explanation:

I made the x value be the pineapples and the y value be the watermelon. And it said in the problem that it should equal 24g so I made it equal 24. Next You would need to find the x and y intercepts in order to graph it.

2y=24 and 3x=24, so x=8 and y=12.  Now unfortunately I can't add a graph here but if you input those intercepts in an app like desmos or photomath, you'll get a graph. Hope this helps!

Answer: It would take her another 8 weeks to get a total of $249.

Step-by-step explanation:

Answer:

A B C F

Step-by-step explanation:

Answer: 1/3 of 24 tickets is 8

Step-by-step explanation:

1/3 of 24 is 8.

The way I usually find this is by multiplying different numbers by three and seeing if it equals (in this case) 24.

8 x 3 = 24

Because eight goes into twenty-four three times, eight is one-third of twenty-four.

Hope this helps✨

Answer:

1. 8,13,8,3,g

2. 8,13,3,g (Like term pair 1) and 8 (Like term pair 2)

Step-by-step explanation:

Answer:

p=1.4375

Step-by-step explanation:

Answer:

2,4,5 got it right on egde2021

Step-by-step explanation:

Answer:

the equation is:    (104 * x) + 15 = y     i believe

Step-by-step explanation:

104 OF THE NUMBER of nights so times x because you dont know the number

and + 15 because of the fee

Answer:

[tex]A=150\ cm^2[/tex]

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]

So, the area of the triangle is equal to [tex]150\ cm^2[/tex].

Answer:

10+30r

Step-by-step explanation:

-2+5(2+6r)

expand 5(2+6r)

5x2=10

(6r)x(5)=30r

so it is 10+30r

then add that to -2

8+30r

Hope that helps :)

Solution :

Given :

X = homicide rate (homicides per 100,00 population)

n = 12 = metropolitan areas

Area                          X (homicides per 100,000 population)

Mesa, AZ                   4.1

Seattle, WA               3.8

Portland, OR (tie)      3.4

New York, NY(tie)     3.4

Virginia beach, VA   3.3

San Jose, CA           3.1

EI, Paso, TX             2.6

Austin, TX                2.6

San Diago, CA         2.4

Suffolk County         2.2

Montgomery, MD    2.0

Fairfax, VA              1.7

Therefore, the mean of X = [tex]$\bar X = \frac{\sum X_i}{n}$[/tex]

                                           [tex]$=\frac{34.9}{12}$[/tex]

                                          = 2.9

Therefore, the mean of homicide rater in the 12 metropolitan areas is 2.9 homicide per 100,000 population.

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5x = 25

Step 2: Solve for x

Answer: 210 fewer beads.

Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).

Answer:

6

Step-by-step explanation:

you need 6/6 to make 1

if theres a pie cut 6 times you need all 6 pieces to make it whole again

Answer:

1/6 is one and to make one whole you need 6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

6 x 6 x 2 = 72

Answer:

72

Step-by-step explanation:

hope this helps!

Answer:

14 lessons.

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Simplify the left side. Combine like terms (terms with the same amount of variables).

11 + 2 = 13

-5x + 4x = 4x - 5x = -x

-x + 13 = 13 - x (True)

True is your answer.

~

Step-by-step explanation:

The given line is

y = 3x - 1

3x - y - 1 = 0 .....i)

The line perpendicular to the line I Is

x + 3y + k = 0 .....ii)

The line II) passes through the point (7, 4) so

7 + 3 *4 + k = 0

7 + 12 + k = 0

19 + k = 0

I. e k = - 19

So the required equation is x + 3y - 19 = 0

Hope it will help :)❤

Answer:

Solve for y.

y= −5+2x

Rewrite in slope-intercept form.

y=2x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x y

0 −5

5/2 0

Graph the line using the slope and the y-intercept, or the points.

Slope: 2

y-intercept: (0,−5)

x y

0 −5

5/2 0

Step-by-step explanation:

Hope it is helpful....

Answer:

x = 3/2

Step-by-step explanation:

Log x^4-logx^3=log 3x-log2x solve​

log(x^4/x^3) = log(3x/2x)

Log cancels out

x^4/x^3 = 3x/2x

x^3 * x/x^3 = 3/2

x^3/x^3 * x = 3/2

x = 3/2

Hence the required value of x is 3/2

Answer:

Factoring 3x2 - 2x - 1

The first term is, 3x2 its coefficient is 3 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .

-3 + 1 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1

3x2 - 3x + 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-1)

Add up the last 2 terms, pulling out common factors :

1 • (x-1)

Step-5 : Add up the four terms of step 4 :

(3x+1) • (x-1)

Which is the desired factorization

Final result :

5xy2 • (x - 1) • (3x + 1)