1. If A = {1, 2, 3,4}, B = {3,4,5,6}, C = {1, 2, 4, 6, 7}, then find i) AUB ii) BUC iii) (AUB)UC v) An(BNC) vi) AU(BUC) iv) AN(BUC)​

there are 7 vertices in this shape

Answer:

7.

Step-by-step explanation:

The vertices are the points where the lines meet.

Answer:

m = (ps - b - uxs/t) / ux/t - p

Step-by-step explanation:

ux/t +b/m+s =p

multiplying throughout by (m+s) we get:

ux/t(m+s) + b = p(m+s)

open the brackets:

uxm/t + uxs/t + b = pm + ps

bring on one side of the equal sign all terms containg m, to make it the subject:

m(ux/t - p) = ps - b - uxs/t

m= (ps - b - uxs/t) / ux/t - p

Answer:

[tex] \frac{5}{6} - \frac{1}{6} [/tex]

[tex] \frac{5 - 1}{6} [/tex]

[tex] \frac{4}{6} [/tex]

[tex] \frac{2}{3} [/tex]

hope this helps you

Answer:

Step-by-step explanation:

Segment EF is mid-segment of ABCD ⇒ ( 2x - 4 ) + ( x - 5 ) = 2x

x - 9 = 0

x = 9

AD = 4

EF = 9

BC = 14

The length of segments AD, EF, and BC in the trapezoid are 4, 9 and 14 respectively

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

We have to find the lengths of AD, EF, and BC in the trapezoid

Segment EF is mid-segment of ABCD

So ( 2x - 4 ) + ( x - 5 ) = 2x

Now let us solve for x

2x-4+x-5=2x

Combine the like terms

x-9=0

x=9

So AD =x-5

=9-5= 4

EF = 9

BC = 2x-4

=18-4

=14

Hence, the length of segments AD, EF, and BC in the trapezoid are 4, 9 and 14 respectively

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ2

Answer:

x = 9

this is a ratio problem. You can see that 12/6 = 2, so you can also take 18/2 to get 9.

Answer:

the answer is 6

Step-by-step explanation:

Because 6 and x are corresponding angle so that means no matter what ( if u want the answer to how long the line is or what degree the angle is ) the answer is always going to be the same as the one above ( which is 6 )

Hop this helpssss

Answer:

С. y=8x-9

Step-by-step explanation:

Solve the system of equations

3x=4y+1

16x=2y+18 (multiply by -2)

-32x= -4y-36

3x-32x= 4y+1-4y-36

-29x= -35

x=35/29

4y= 3*35/29-1= 105/29-29/29=76/29

y= 76/29: 4/1= 19/29

You know x and y, then attempt to replace x,y in every equation (from A to D) on 35/29 and 19/29 respectively. If the left and right part in some equation are equal after replacing that's the correct answer.

In C 19/29= 8*35/29- 9

19/29=19/29

It is correct.

Answer:

1. x = 20     2. n = 50

Step-by-step explanation:

1/4x - 2 = 3

1/4x = 5

x = 20

2. 8 = 1/5n - 2

10 = 1/5n

n = 50

Answer:

Question 1

Original equation:

1/4x-2=3

Add 2 to both sides:

1/4x=5

Multiply both sides by 4/1:

x=20

Question 2

Original equation:

8=1/5n x 2

Divide both sides by 2

4 = 1/5n

Multiply both sides by 5/1

n=20

Let me know if this helps!

Answer:

= −28.043478261

Step By Step Explanation

Answer From Gauth Math

Answer:

Mabel's score = s

2s-59

Step-by-step explanation:

I HOPE MABEL HAS A NICE GRADE

Is it Mabel from Gravity Falls?

lol

9514 1404 393

Answer:

  19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

__

20. The percentage change from 2005 to 2010 is ...

  (60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

  200%/(5 yr) = 40%/yr

_____

Additional comment

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

Need a better explaination

Step-by-step explanation:

Given that,

To find,

Firstly we'll find the base radius of the cylinder.

[tex]\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\[/tex]

According to the question,

[tex]\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\[/tex]

[tex]\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\[/tex]

[tex]\longmapsto\rm{4312 = 88 \times r^2 }\\[/tex]

[tex]\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\[/tex]

[tex]\longmapsto\rm{49 = r^2 }\\[/tex]

[tex]\longmapsto\rm{\sqrt{49} = r }\\[/tex]

[tex]\longmapsto\rm{7 \; cm = r }\\[/tex]

Now,

[tex]\longmapsto\rm{Diameter = 2r }\\[/tex]

[tex]\longmapsto\rm{Diameter = 2(7 \; cm) }\\[/tex]

[tex]\longmapsto\bf{Diameter = 14 \; cm}\\[/tex]

The required answer is 14 cm.

Answer:

2 times as large

Step-by-step explanation:

For the original cylinder, we can say that the volume of a cylinder is equal to V= πr²h. For this cylinder, we can say that  V = π * radius² * height. The radius is equal to 1/2 of the diameter, so the original radius is 8/2 = 4. Therefore, the volume of the original cylinder is V = π * radius² * height = π * 4² * 8 = π * 16 * 8 = π * 128

For the new cylinder, "twice as wide" means that the diameter is twice as big as the original one. Half the height means that the height is halved. The new diameter is therefore 8 * 2 = 16 (meaning that the new radius is 16/2=8) while the new height is 8/2 = 4. The new volume is thus

V = π * radius² * height = π * 8² * 4 = π * 64 * 4 = π * 256

To see how much larger the new tank volume is, we can divide (new tank volume) by (old tank volume), resulting in

π * 256 / (π *128) = 2

Answer:

x=0 and x=-7

Step-by-step explanation:

Since the answer is 0, one of the 2 parts in the equation has to be 0:

x(x+7)=0 either the "x" has to be 0 or the "x+7"

With this you can create 2 equations:

x=0 and x+7=0

These simplify to x=0 and x=-7

9514 1404 393

Answer:

  -x^4/(2y)

Step-by-step explanation:

Perhaps you want to simplify ...

  [tex]-\dfrac{3x^5y^7}{6xy^8}=-\dfrac{3}{6}x^{5-1}y^{7-8}=-\dfrac{x^4y^{-1}}{2}=\boxed{-\dfrac{x^4}{2y}}[/tex]

__

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

_____

Comment on notation

When writing a fraction in plain text, any denominator that includes an arithmetic operation must be enclosed in parentheses. Your given expression is properly written as ...

  -3x^5y/(6xy^8)

Without the parentheses, the product xy^8 is in the numerator. This is demanded by the order of operations, which requires you evaluate your expression as (-3x^5y^7/6)·xy^8

-7x-17=2x+10

2x+7x= -17 -10

9x= - 27

x = – 27/ 9

x= –3

I hope I helped you^_^

Answer:

11/15 or .73333333...

Step-by-step explanation:

heres how i went about it:

think of it as a fraction,

121

------

225

to find the sqyare root of a fraction you would find the square root of each number individually

√121=11

√225=15

then you divide them and get .73333333333333333...

bad at explaining but hope this helped <3

Answer:

8 pieces.

Step-by-step explanation:

12 / 1.5

= 24 / 3

= 8.

Answer:

26,37

Step-by-step explanation:

m=n-11

     m-n=-11-------(1)

m+n+8=71--------(2)

(1)+(2)

(m-n)+(m+n+8)=-11+71

m-n+m+n+8=-11+71

2m+8=60

2m=52

m=26

by substitute in (1)

          26-n=-11

         -n=-11-26

         n=37

Answer:

Ex. 45° & 89°

Step-by-step explanation:

Acute angles are angles less than 90°. Therefore, any angle less than 90° will do.

Answer:

acute angles are angles which are less than 90° .

For example . A angle with 50°.

more examples of acute angels are : 78° , 60° , 45° , 30 ° .

hope this helps you

mrk me braniliest

Answer:

C

Step-by-step explanation:

[tex] \sin( 5 ^{o} ) = \frac{33}{ab} \\ ab = 378.63[/tex]

Answer:

48 hours

Step-by-step explanation:

12.5/100 = 6/x

1. cross-multiply

12.5 × x = 12.5x

100 × 6 = 600

2. divide

12.5x/12.5 = x

600/12.5 = 48

3. answer

x = 48

Hi,

no need to use discriminant for that.

3(m)^2 = -6

m^2 = -6/3

m^2= -2

in R, there is no

solution as a square can not be negative.

Step-by-step explanation:

the common increment is 20

Answer:

8, 13, 18, 23

Step-by-step explanation:

Answer:

The parabola will open downward

Step-by-step explanation:

f (x)=ax^2 + BX + C

Since a = -8

The parabola will open downward

When a< 0 the graph opens downwards

a>0 the graph opens upwards

Answer:

10,000 ft^2

Step-by-step explanation:

Let x represent length alongside Jane’s house and y represent width of garden.

We have been given that Jana has 200 feet of fencing to enclose a rectangular vegetable garden. One side of the garden will be alongside Jane’s house so only three sides will need to be fenced.

The fencing on 3 sides of garden will be equal to perimeter of garden on three sides.

p = x + 2y

200 = x + 2y

We know that area of rectangle is equal to length times width that is A = xy .

From perimeter equation, we will get:

x = 200 - 2y

Substituting this value in area equation, we will get:

A(y) = (200-y)y

Now, we need to find derivative of area of function.

A(y) = 200y - y^2

A'(y) = 200 - 2y

Now, we will set derivative equal to 0 to find critical points.

200 - 2y = 0

200 = 2y

y = 100

So thus the area will be maximum when 100.

A(y) = 200y - y^2

Substituting y for 100 we get A(100) = 10,000

Answer:

2x + 5

Step-by-step explanation:

((3x2)+x+8) + (x-9)

= ((6) + x +8) + (x -9)

= (14 +x) + (x-9)

= 14 + x + x -9

= 2x + 5

answered by g a u t h m a t h

Answer:

[tex]x = \frac{4 \sqrt{3} }{3} [/tex]

Step-by-step explanation:

The explanation is in the picture!❤