If (2x^2-5x+7)-(4x^2+2x-11), what is the result?

Answer:

[tex]Q = 96.4^\circ[/tex]

[tex]R = 58.4[/tex]

[tex]P =25.2[/tex]

Step-by-step explanation:

Given

See attachment for PQR

Required

Solve the triangle

From the attached triangle, all sidea of the triangle are known.

i.e.

[tex]PQ = 6\\QR=3\\PR=7[/tex]

So, we are to solve for [tex]\angle P, Q \& R[/tex]

Using cosine rule:

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

To solve for Q, we have:

[tex]PR^2 = PQ^2 + QR^2 - 2 * PQ * QR Cos(Q)[/tex]

[tex]7^2 = 6^2 + 3^2 - 2 * 6 * 3 * \cos(Q)[/tex]

[tex]49 = 36 + 9 - 36 * \cos(Q)[/tex]

Collect like terms

[tex]49 - 36 - 9 = - 36 * \cos(Q)[/tex]

[tex]4 = - 36 * \cos(Q)[/tex]

Divide both sides by -36

[tex]\cos(Q) = \frac{-4}{36}[/tex]

[tex]\cos(Q) = -0.1111[/tex]

Take arc cos of both sides

[tex]Q = cos^{-1}(0.1111)[/tex]

[tex]Q = 96.4^\circ[/tex]

To solve for R, we make use of sine rule;

[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]

So, we have:

[tex]\frac{PQ}{\sin R} = \frac{PR}{\sin Q}[/tex]

[tex]\frac{6}{\sin R} = \frac{7}{\sin 96.4}[/tex]

Cross multiply

[tex]\sin R * 7 = 6 * \sin 96.4[/tex]

Solve for sin R

[tex]\sin R = \frac{6 * \sin 96.4}{7}[/tex]

[tex]\sin R = \frac{6 * \0.9938}{7}[/tex]

[tex]\sin R = 0.8518[/tex]

Take arc sin of both sides

[tex]R = sin^{-1}(0.8518)[/tex]

[tex]R = 58.4[/tex]

Solving P:

[tex]P+ Q + R = 180[/tex] --- angles in a triangle

Solve for P

[tex]P =180-Q-R[/tex]

[tex]P =180-96.4-58.4[/tex]

[tex]P =25.2[/tex]

Answer:

3x-2

Step-by-step explanation:

12x-8/4 = 3x-2 is one side length of a square

Answer:

C. a reflection or the x-axis,then a translation 6 units to the left

Answer:The mean absolute deviation (MAD) of the number of pages in the 5 books Rori read =24

Step-by-step explanation:

To find the the mean absolute deviation (MAD,we start firt by

Getting  the mean of all values

Mean =120, 106, 94, 100, 180/5  =600/5=120

Next we subtract the mean value  from each value which is called distance

120 -120  = 0

106 -120 = -14

94 -120=  -26

100 -120=-20

180 -120=60

Thirldly, we find the mean of the distances  ignoring the negative signs

0+14+26+20+60 / 5 = 120/5=24

Answer:

9.1m

Step-by-step explanation:

h = V ÷ l w = 819 ÷ (10 × 9) = 9.1m

Have a good day

Answer:

408.3%

Step-by-step explanation:

Answer:

Each Interior Polygon angle = 180 - [ 360 / number of sides]

Each Angle = 180 - [ 360 / 10]

Each Angle = 180 - 36

Each Angle = 144 degrees  

Source http://www.1728.org/polygon.htm

Step-by-step explanation:

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

Answer:

C

Step-by-step explanation:

hope this helps

Answer:

son consonantes

guíate por esto.

La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.

r = 1/15

a branliest from the answer will be appreciated

Step-by-step explanation:

1/x-9= 6

cross multiply

1= 6×{x-9}

1= 6x - 54

collect like terms

1+54= 6x

55= 6x

x= 55/6 or 9.1667

Answer:

3, 4, 5

5, 12, 13

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

You have 10 movies in total. You take 1 out of 6 action movies. Now you have 5 action movies left, so that means the probability is 5/9. It's 5/9 because you chose 1 action movie out of 10 movies in total, so that means there are 9 movies in total left.

Hopes this helps and makes sense!

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

the answer is  224 im pretty sure hope this helps

Answer:

2:3

Step-by-step explanation:

8:12

divide by 4

2:3

Good luck on your test

Answer:Well it's probably 1:5

Step-by-step explanation:

Tell me If I was wrong :<

Answer:

[tex]\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}[/tex]

(the other solutions can be obtained by adding 2pi as many times as you want)

Answer:

48

Step-by-step explanation:

by parallel laws

132 + x = 180

x = 48

so x must be 48

Answer:

549.5

Step-by-step explanation:

For a estimate of pi we use 3.14. So 3.14x5x5x7=549.5

For a realistic answer its 549.778714378.....

Answer:

Exponential decay

Step-by-step explanation:

Because the values are exponentially decreasing.

Answer:

Steps:

600 - 480 = 120

100(120/480) = 25

Answer:

increase in percentage = 25%

Step-by-step explanation:

here's your solution

==> Total number of students last year = 480

==> Number of students this year = 600

==> Number of increased students = 600 - 480

= 120 students

==> now , in percentage = (120/480)*100

==> percentage increase = 25%

hope it helps

Answer:

D . 8x - 3

proof

16x - (3 + 8x ) = 8x - 3

16 -3 - 8x = 8x - 3

8x -3 = 8x - 3

Answer:

I think it's mean, range, median, and outlier

Answer:

range,mode and median I think hehehe

Answer:

2: 45     3: 45   4: 135    5: 135   6: 45   7: 45

Step-by-step explanation:

they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle

Answer:

5. B 6A. True 6B. True 6C. False 6D. True

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

explanation:

i answered the question

btw thanks for the brainliest