Express 120 as the product of its prime factors.
Write the prime factors in ascending order.

Answer:

radius = 13

Step-by-step explanation:

OC is a perpendicular bisector of AB , then AC = 12

OA is the radius of the circle

Using Pythagoras' identity in right triangle OAC

OA² = OC² + AC²

OA² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )

OA = [tex]\sqrt{169}[/tex] = 13

The radius = 13 units

Answer:

13

Step-by-step explanation:

AB is bisected by perpendicular OC so AB is divided into intwo two equal halves.

if AB = 24

AC =[tex]\frac{1}{2} *AB[/tex]

=[tex]\frac{1}{2} *24[/tex]

=12

no join OA and name its length as x

OA = X

OC = 5

AC = 12

when u join O and A it forms a triangle . SO to find OA lets find pythagoras theorem

OC^2 + AC^2 = OA^2

5^2 + 12^2 = OA^2

25 + 144 = OA^2

169 = OA^2

[tex]\sqrt{169}[/tex] = OA

13 = OA

radius is the line joining the centre and any point on the circumference.So here since O is the centre and A is the points on the circumference and they are joined so the line can be named as radius of a circle.

Therefore radius of a circle is 13

Answer:

317.49508~317.50

Step-by-step explanation:

a=15.937253933193771

b=7.9686269665968858

a²+b²=(15.937253933193771)²+(7.9686269665968858)²

=(253.99606)+(63.49902)

=317.49508

Answer:

the answer you want is number 2

Answer:

9.89 m

Step-by-step explanation:

AC is the hypotenuse (H)

x is the opposite (O)

O and H are in sine

sin=O/H

H=O/sin

H=7.9/sin(53)

=9.89187169943418

3 SF

9.89 m

Answer:

AC= 13.144

Step-by-step explanation:

cos ∅ =  Adjacent/ Hypotenuse

cos (53°) = x/AC

cos (53°) = 7.9/AC

(0.601).(AC)=7.9

AC=(7.9)/(0.601)

AC=  13.144 (3 S.F)

Given:  The given function is

[tex]f(x,y)=c(x-y)[/tex]

To find: Here we need to find the value of c for which f(x,y) will be a joint

discrete probability density function.

Solution:

Now, to find c we have,

[tex]\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\[/tex]

∴[tex]c=\frac{1}{5}[/tex]

Therefore, the required value of c is 1/5.

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

Answer:

Region A represents the solution to the system of inequalities.

Answer:    The first one is y≤11 and the second question is x>16 Hope that helps Goodbye!

Step-by-step explanation:  1. Add 22 to both sides.

-13+2

−y≥−13+2

2 Simplify  -13+2−13+2  to  -11−11.

-y\ge -11

−y≥−11

3 Multiply both sides by -1−1.

y\le 11

y≤11

1 Add 22 to both sides.

6+2<\frac{x}{2}

6+2<  

2

x

​

2 Simplify  6+26+2  to  88.

8<\frac{x}{2}

8<  

2

x

​

3 Multiply both sides by 22.

8\times 2<x

8×2<x

4 Simplify  8\times 28×2  to  1616.

16<x

16<x

5 Switch sides.

x>16

x>16

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given  inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

4 + (1/3)w + w = 24

subtract 4 from both sides

(1/3)w + w = 20

multiply both sides by 3 to clear the fraction

w + 3w = 60

4w = 60

Divide both sides by 4

w = 15

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

Answer:

a║b

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:20.25}}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25,..[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]0.25, 0.75, 2.25, 6.75,20.25 \\ \\ ➺ \: 0.25 \times 3 = 0.75 \\ \\ ➺ \: 0.75 \times 3 = 2.25 \\ \\ ➺ \: 2.25 \times 3 = 6.75 \\ \\ ➺ \: 6.75 \times 3 = 20.25[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Transformation involves changing the form of a function.

The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]

Function f(x) is given as:

[tex]f(x) =\sqrt[3]{x}[/tex]

The rule of this transformation (i.e. reflection) is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f'(x) = -f(x)[/tex]

This gives

[tex]f'(x) =-\sqrt[3]{x}[/tex]

The rule of this transformation (i.e. translation) is:

[tex](x,y) \to (x+1,y)[/tex]

So, we have:

[tex]g(x) = f'(x+1)[/tex]

This gives

[tex]g(x) =-\sqrt[3]{x+1}[/tex]

Hence, the equation that represents g(x) is (c)

Read more about transformation at:

https://brainly.com/question/12619643

Answer:

Its D

Step-by-step explanation:

just did the quiz

--Answer--

The second one, fourth, and fifth.

--Explanation--

1. - 6.283...

2. 7.142...

3. 6.928...

4. 7.483...

5. 7.874...

Answer:

2^2

Step-by-step explanation:

2^-3/2^-5

We know that a^b / a^c = a^(b-c)

2^-3/2^-5 = 2^( -3 - -5) = 2^(-3+5) = 2^2

Answer:

A

Step-by-step explanation:

Kunal      Sagar

12              10         -6 years before is 6:5

18             16          -Now

22            20         - 4 years in the future at 11:10

So it all works out :)

Answer: This would be how I would do it, so the answer might vary from what the teacher wants.

A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 ° + 45° = 135°

Answer: Invertible

Step-by-step explanation:

If inverse of a function exists, then the function is said to be invertible. A unique value exits for each given input.

Inverse of a function can be obtained by expressing the given function in terms of y and then replace y by x.

Answer:

9

Step-by-step explanation:

There is no radical it's just 9

Answer:

Step-by-step explanation:

A = x * x = x^2

B = 6 * x = 6x

C = 8 * x = 8x

D = 6 * 8 = 48

So the area of the whole shape is each side added up then multiplied to give (x+6)(x+8) =

x^2 + 14x + 48

Answer:

y = -8x-5/4: -8

y = 1/8x + 4/5: 1/8

Step-by-step explanation:

The slope is the first number after the y =

Answer: 52

Step-by-step explanation:

81 + 47 is 128.

180 - 128 =52 degrees.

:)

Answer:

y is -4.55

Step-by-step explanation:

Answer:

9 would be the correct solution to this question?

Answer:

yes

Step-by-step explanation:

[tex]18x^6 + 5y^6 \ cannot\ be \ factorized \ further. \\\\So \ it \ is \ a \ prime\ polynomial.[/tex]