Find the exact value of cos A in simplest radical form. ​

Answer:

18/18 = 1

Step-by-step explanation:

Answer:

[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]

Step-by-step explanation:

we would like to simplify the following expression:

[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]

recall distribution property thus:

[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]

remember that,

so assign variables:

simplify Multiplication:

[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]

rewrite 45 as 9×5:

[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]

utilize the formula:

[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]

simplify square:

[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]

and we're done!

[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]

[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]

[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]

[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]

Or we can break 15n

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]

Answer:

[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]

because -√49 = -7

[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]

Answer: x = 22.21

Step-by-step explanation:

Given

7 · cos (2x) = 5

Divide 7 on both sides

7 · cos (2x) / 7 = 5 / 7

cos (2x) = 5/7

Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)

2x = cos⁻¹ (5/7)

Divide 2 on both sides

2x / 2 = [cos⁻¹ (5/7)] / 2

[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9. -1

First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.

10. 9

Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.

11. 11

Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.

12. 5

Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.

13. -5

Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.

14. -2

Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.

15. -3

Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.

16. -13

Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.

Answer:

2

Step By Step Explanation:

= 2*(8+3*3-4^2)

= 2*(8+3*3-16)

= 2*(8+9-16)

= 2*(17-16)

= 2*(1)

= 2*1

= 2

Answer: 2

Step-by-step explanation:

2/(8+9-16)

2/1 = 2

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

Answer:

485 bro just do it with calculator

Step-by-step explanation:

10×n-15

10×50-15

485

Answer:

12,000.

Step-by-step explanation:

First term = 10(1) - 15 = -5

50th term = 10(50) - 15 = 485

Sum of 50 terms = (50/2)(-5 + 485)

= 25 * 480

= 12,000

Answer:

The above given statement is true

Answer: Top right.

Step-by-step explanation:

After plotting the points on a graph, you will see that the points create a negative linear function.

Answer:

she paid for 77 hours

Step-by-step explanation:

First add 14+7 which equals 21 then keep adding 7 which is the total charge  each our until you reach 77.

Answer:

X = Amount of zippers she can buy

Y = Total cost

K = each zipper cost, $2.50

Solution: Hans can buy 15 zippers

Step-by-step explanation:

38 = 2.50x

x = 15.2 = 15 zippers

Answer:

-24

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

I think it is six thats what i got

Answer:

6 units²

Step-by-step explanation:

Since the triangle is reflected they should have the same length sides (triangles are congruent) so you would use the length they give you for side AC in the first triangle and the length of the side AB in the second triangle to determine the area

Area= ½ base × perpendicular height

=½4 ×3

=6 units²

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

Answer:

Integer, whole number, and a rational number

Answer:

24units.

Step-by-step explanation:

steps are in picture.

If you have any question about it please ask.

Answer:

[tex]\huge\boxed{\sf V = 4778.4\ cm\³}[/tex]

Step-by-step explanation:

Given:

Height = 27 cm

Radius = 13 cm

Formula:

[tex]Volume \ of \ cone \ V = \frac{1}{3} \pi r^2h[/tex]

Solution:

V = 1/3 (3.14)(13)²(27)

V = (3.14)(169)(9)

V = 4778.4 cm³

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Madarchod Benchod You Idiota You French

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.

Answer:

1161 ft

Step-by-step explanation:

36 ft with the triangles, 900 ft with the squares, 225 ft for the bottom square, so total is 1161 ft.

Answer:

-4.4

Step-by-step explanation:

=3-[8-(7-6.4)]

=-4.4

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

Answer:

2/51

Step-by-step explanation:

there are 4 white tiles and 18 total tiles in the bag, so your ratio is 4 out of 18 and 2/9 when simplified. When Robin draws out the first one, if it is white, then because he keep that one out, there are only 3 white tiles left and 17 total tiles left, so 3/17 is his chance of drawing a white the second time. you multiply 2/9 and 3/17 together because there is a chance for him to draw the white tile the first time and a chance to draw a white again the second time, so it is reasonable for the chance to be really small. 2/9 x 3/17=2/51.

Step-by-step explanation:

steps are in the picture above.

if you need to ask a question let me know.

Answer:

$12/ 1 hour of work

Step-by-step explanation:

30 : 2/12

Divide both sides by 2 1/2

12 : 1

Answer:

A

Step-by-step explanation:

x^a/x^b=x^(a-b). General rule of exponents