Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.

A=[sqrt3/2 -1/2]
1/2 qrt3/2

30
60
50
210

Answer:

x=-5, y=2

Step-by-step explanation:

[tex]y=3x+17\\\\4x-3y=-26[/tex]

With substitution, you can replace y in the second equation with 3x+17, since you know they are equal.

[tex]4x-3(3x+17)=-26 \\\\4x-9x-51=-26\\\\-5x=25\\\\x=-5\\\\y=3(-5)+17=-15+17=2[/tex]

Hope this helps!

Answer:

A. = False

B. = False  

C. =  True

D. = True

Hope this helps

Answer:

is there a graph included

Answer:

It's B

Step-by-step explanation:

Answer:

360/2500

Step-by-step explanation:

the blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

Answer:

360/2500

Step-by-step explanation:

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

6x (2x^2 + 4x), for it's not equal to 12x^2+24x.

Step-by-step explanation:

Answer:

f(9)=1

Step-by-step explanation:

This questions asks us to find f(9).

It is asking us to find what f(x), or y is, when x is equal to 9.

f(x)=x-8

Therefore, we can substitute 9 in for every x.

f(9)=9-8

Subtract 8 from 9

f(9)=1

If f(x)=x-8, then f(9)=1

Answer:

f(9)=1

Step-by-step explanation:

f(x)=x-8

plug in 9for x

f(9)=9-8

9-8 =1

Answer:

Step-by-step explanation:

1,4 ,13 ,  __________, 121

First term = 1

Second term  =  1 +  3        =  4

Third term      =  4 + 3*3     =  4 + 9   = 13

Fourth term =  13 + 3*3*3  = 13 + 27 = 40

2) 5, 12 , 33 ,_____

First term = 5

Second term = 5 + 7     = 12

Third term     = 12 + 7*3 = 12 + 21 = 33  

Fourth term = 33 + 7*3*3 = 33 + 63 = 99

Answer:

\frac{2}{ x^{2} }  +  \frac{4}{ x^{2} } =  \frac{2+4}{ x^{2}}=  \frac{6}{ x^{2} }  

Step-by-step explanation:

When we add two expression in fraction we take Least common multiple of two expression  in the denominator

Here we have expression  

Now, we write a common denominator

rewrite the expression

Now, we combine the numerator 2+4 is equal to 6

So, we will get   = \frac{2}{x^{2}}+ \frac{4}{x^{2}} =\frac{6}{x^{2} }

Hope this helps!

The value of X is -4

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

x = - 4

Step-by-step explanation:

7x + 50 = 22

7x = 22 - 50

7x = - 28

x = - 28 : 7

x = - 4

Answer:[tex]288\pi\ cm^3[/tex]

Step-by-step explanation:

Given

Diameter of cylinder is [tex]d=8\ cm[/tex]

So, radius [tex]r=\frac{d}{2}=4\ cm[/tex]

height of cylinder [tex]h=18\ cm[/tex]

Volume of cylinder is given by

[tex]V=\pi r^2h[/tex]

[tex]V=\pi (4)^2\times 18[/tex]

[tex]V=\pi 16\times 18[/tex]

[tex]V=288\pi\ cm^3[/tex]

So, volume of cylinder is [tex]288\pi\ cm^3[/tex]

Answer:

288π cm cubed

Step-by-step explanation:

Answer: it is contrapositve

Answer:

The correct option is A,$48.75

Step-by-step explanation:

The amount of spend on theater tickets is missing, however it can be computed  by using the below formula:

Closing balance=opening balance-cost of groceries+ rebate check-cost of gas-cost of theater tickets+ paycheck

$695.15=$430.57-$57.19+$15-$22.30-cost of theater tickets+$377.82

cost of theater tickets=$430.57-$57.19+$15-$22.30+$377.82-$695.15

cost of theater tickets=$48.75

Answer:

A on EDGE

Step-by-step explanation:

Answer:

x = 1 2/3 hours

Step-by-step explanation:

We can use ratios to solve

150 miles          100 miles

---------------- = ---------------

2.5 hours          x hours

Using cross products

150x = 2.5*100

divide each side by 150

150x/150 = 250/150

x = 1 2/3 hours

Answer:

answer is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Step-by-step explanation:

on  A P E X

To prove that the two circles are similar, the answer which would be the correct second step in his proof is:

This refers to a round plane who has a centre as a fixed point that has equal distance from each other.

With this in mind, we can see that Circle O and Circle X are shown and they are said to be similar, hence, the second step to prove that they are similar is A - C = 2-pi-r/C = 2-pi-r and C/C = r/r by the division property of equality

Read more about circles here:
https://brainly.com/question/24375372

The median is 11.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer: [tex]\frac{29}{2}[/tex]÷[tex]\frac{5}{4}[/tex], [tex]\frac{29}{2}[/tex]×[tex]\frac{4}{5}[/tex]

Step-by-step explanation: Let me know if you need an explanation.

Answer:

its a and e two options it said

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Sorry for the late response but the previous 2 answers lacked an explanation.

The sample space of an experiment / trial is the range of all outcomes from that experiment / trial. In this case, the trial is spinning the spinner. You might think that the answer is D because those are all of the possible outcomes you might get when spinning the spinner, however, some of the outcomes are repeated. In a sample space, each element of the sample space set is different, therefore, the answer is {1, 2, 3, 4} which is A.

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = [tex]\frac{1}{2}[/tex]

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) → B'(-1, 1)

         C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

Following are calculation to the given points:

Given:

[tex]\Delta ABC[/tex] under a dilation whose center is P

scale factor [tex]= \frac{1}{2}[/tex]

To find:

points=?

Solution:

In the given question we assume that the origin at the point [tex]P(0, 0)[/tex].

therefore the coordinates of [tex]A, B, \ and \ C[/tex] would then be [tex](8, 4), (-2, 2), \ and\ (4, -4)[/tex] respectively.

Scale factor dilatation rule[tex]= k[/tex]

[tex](x, y) \to (kx, ky)[/tex]

If [tex]k = \frac{1}{2}[/tex]

Then,

[tex]A(8, 4) \to A'(4, 2)\\\\B(-2, 2) \to B'(-1, 1)\\\\C(4, -4) \to C'(2, -2)\\\\[/tex]

We can now draw a new picture with the points [tex]A', B', \ and\ C'[/tex], please find the attached file.

Learn more:

brainly.com/question/16967942

Answer:

$12,750

Step-by-step explanation:

15% of 15,000 is 2,250 and you find this by multiplying the discount and the total. Then you subtract the discount from the original price to know the discounted price.

15,000-2,250=12,750

So you'd pay $12,750 without taxes

Answer:

The cost of the boat after the sale would be 12,750. (excluding tax)

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Set the numbers in order from least to greatest, then find the one in the middle, which will be the median.

19, 23, 42, 56, 67

42 is in the middle, so it is the median.

Answer:

2

Step-by-step explanation:

Line is passing through the points (2,0) & (0, - 4)

[tex]Slope \: of \: line \\ = \frac{0 - ( - 4)}{2 - 0} \\ = \frac{0 + 4}{2} \\ = \frac{4}{2} = 2 \\ [/tex]

Answer:

4

Step-by-step explanation:

The constant is the lone number, in this case it is 4.

Hope this helps.

Answer:

64°, 52°

Step-by-step explanation:

----------------------------------------------------------

Hey!!!

Solution,

2x+10+X+5=180 ( sum of co-interior angles)

or, 2x+X+10+5=180

or,3x+15=180

or,3x=180-15

or,3x=165

or, X=165/3

X=55

Hope it helps...

Good luck on your assignment

STAY SAFE......

--------------------------------------------------------

Answer:

Step-by-step explanation:

2x + 10 + x + 5 = 180  (Sum of co-interior angles}

Add the like terms

3x + 15 = 180   {Subtract 15 form both sides}

3x +15 - 15 = 180 - 15

3x = 165  {Divide both sides by 3}

3x/3 = 165/3

x = 55°

Answer:

3 hours

data from least to Greatest:

2.6, 3 , 4.9 , 5 , 5 , 6 , 6 , 7.9 , 8 , 8.2

Step-by-step explanation:

I got it from Khan Academy

The interquartile range (IQR) of the data set is 3.

The given data set is 5, 8.2, 6, 7.9, 5, 2.6, 3, 4.9, 6 and 8.

We need to find the interquartile range (IQR) of the data set.

To find the interquartile range (IQR), ​first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Now, the order of data from least to greatest is 2.6, 3, 4.9, 5, 5, 6, 6, 7.9, 8, 8.2.

Q1=4.9 and Q3=7.9

So, IQR=Q3-Q1

=7.9-4.9=3

Therefore, the interquartile range (IQR) of the data set is 3.

To learn more about the interquartile range visit:

https://brainly.com/question/4135956.

#SPJ2

Answer:

here you go!

Step-by-step explanation:

The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3:2.

Answer:

d = 9.9

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your numbers:

[tex]\sqrt{(-5-2)^2 + (12-5)^2}[/tex]= 7√2

7√2 ≈ 9.89949

Answer:

35 inches

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

We know the perimeter and the length

84= 2 ( l+7)

Divide each side by 2

84/2 = 2/2 (l+7)

42 = (l+7)

Subtract 7 from each side

42-7 = l+7-7

35 = l

The length is 35 inches

Answer:

[tex]l = 35 \: \: inches[/tex]

Step-by-step explanation:

[tex]perimeter \\84 = w + w + l + l \\ 84 = 7 + 7 + 2l \\ 84 = 14 + 2l \\ 84 - 14 = 2l \\ 70 = 2l \\ \frac{70}{2} = \frac{2l}{2} \\ l = 35 \: \: inches[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

What you meant was range. The range scales from top to bottom. You can know this by graphing and practicing memorizing these function's domain and range.

Function:                  Range:

f(x) = -√x                    y ≤ 0

p(x) = ∛2-x          All real numbers

w(x) = 2 + √x             y ≥ 2

r(x) = -2 + √2-x          y ≥ -2

k(x) = 2 - √x               y ≤ 2

v(x) = √-x                   y ≥ 0

Answer:

Function:                  Range:

f(x) = -√x                    y ≤ 0

p(x) = ∛2-x          All real numbers

w(x) = 2 + √x             y ≥ 2

r(x) = -2 + √2-x          y ≥ -2

k(x) = 2 - √x               y ≤ 2

v(x) = √-x                   y ≥ 0