Workers in an office of 90 staff where asked there favourite type of takeaway. The results are summarised in the table. Work out the size of each angle to draw a pie chart.

Answer:

C. Square Root of 11

Edg 2020

Answer:

C

Step-by-step explanation:

edge 2020

Answer:94m/s

Step-by-step explanation:

Using the formula:

v=u+at

Where v= final velocity (the unknown)

u= initial velocity (4m/s)

a= acceleration (3m/s)

t= time (30seconds)

v=4+(3*30)

= 4+90

= 94m/s

Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

Answer:

E) 32

Step-by-step explanation:

Square sheet of paper is folded 4 times into half.

Holes in the paper = 2(4)(4)

= 32 Holes

P.S. Also did it practically

Answer:

43°

Step-by-step explanation:

In circle with center P, AB is diameter. Hence, [tex] \widehat{ACB} [/tex] is a semicircular arc.

[tex] \therefore \widehat{ACB}= 180\degree.... (1)\\

\because \widehat{ACB}= \widehat{AD} + \widehat{DC}+ \widehat{CB}.... (2)\\

From\: (1)\: \&\: (2)\\

\widehat{AD} + \widehat{DC}+ \widehat{CB} = 180\degree \\

\therefore (7x + 1)\degree + 90\degree + (9x-7)\degree = 180\degree \\

\therefore (16x - 6)\degree = 180\degree- 90\degree\\

\therefore (16x - 6)\degree = 90\degree\\

\therefore 16x - 6 = 90\\

\therefore 16x = 90 +6\\

\therefore 16x = 96\\\\

\therefore x = \frac{96}{16}\\\\

\huge \red {\boxed {\therefore x = 6}} \\

\therefore \widehat{AD} = (7x+1)\degree \\

\therefore \widehat{AD} = (7\times 6+1)\degree \\

\therefore \widehat{AD} = (42+1)\degree \\

\huge \orange {\boxed {\therefore \widehat{AD} = 43\degree}} \\

[/tex]

Step-by-step explanation:

1)

In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.

Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.

Now, by Pythagorean theorem:

[tex] (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2

\\\\\therefore 20^2 +15^2 =25^2[/tex]

2)

Because all right triangles have one hypotenuse and two perpendicular legs.

Answer:

X-3, not sure. Try that.

Answer:

[tex]3(x - 1)[/tex]

Step-by-step explanation:

Thinked number = x

take away = -1

[tex]x - 1[/tex]

multiply it by 3

[tex]3(x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Awnser is C. Random cuz thats how i chose this answer... its was random

Answer:

x=-5

Step-by-step explanation:

Since the y value goes from -2 to -7 while the x value stays constant, no matter what y value you plug in x will be -5. Therefore, the equation of this line is x=-5. Hope this helps!

Answer:

z = 6√2 = 8.49

Step-by-step explanation:

In this question, we are to find the value of the length z.

Mathematically, using Pythagoras’s theorem we can do this.

The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.

Kindly note that the hypotenuse is the side that faces the angle 90

These are the points needed to solve for z

Using Pythagoras,

z^2 = y^2 + 4^2

z^2 = y^2 + 16 •••••••(i)

x^2 + z^2 = 20^2

x^2 + z^2 = 400 •••••••••(ii)

z^2 + 16^2 = x^2. ••••••••(iii)

Substitute iii into ii

z^2 + 16^2 + z^2 = 400

2z^2 + 256 = 400

2z^2 = 400-256

2z^2 = 144

z^2 = 72

z = √(72)

z = 6√2

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

The probability is 2/3

Step-by-step explanation:

The first thing to write here is the sample space.

I have shown this in the attachment.

Kindly note that the number of expected outcome is 36

The outcome we are looking at is either an even sum or a multiple of 3

These are what i have circled in the addition results

The number of circles is 24

The probability is thus 24/36 = 2/3

Answer:

14,15,16

Step-by-step explanation:

14+15=29

add up 29 + 16 = 45

Answer:

Step-by-step explanation:

(a) 3 + 5x − 4x^2 should be written as −4x2 + 5x + 3.  This is a QUADRATIC function.

(b) 8x + x + 5 + x^3 should be re-written first as 9x + 5 + x^3 and then as

x^3 + 9x + 5.  This is a CUBING function.

Answer:

False, it could be.

Answer:

56

Step-by-step explanation:

The larger half is 4*10=40

The smaller half is 4*4=16

40+16=56

The area of the given kite is 56 square units and it has two diagonals of lengths 14 and 8 units.

The are of kite is product of diagonals by two.

Area of kite = (Diagonal 1 × Diagonal 2)/2.

Diagonal 1= 10+4

=14 units.

Diagonal 2= 4+4

=8 units.

Now plug in these values in above formula:

Area of kite = (14×8)/2

=112/2

=56 square units.

To learn more on Area click:

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Answer:

(-2, -3)

Step-by-step explanation:

The middle of the point. It covers two blocks so find the middle.

Or you can use the midpoint formula

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

(-2,-3)  because it is in the middle of the line segment, between the two marked points

Answer:

486

Step-by-step explanation:

Answer:

< 3 and < 5

Step-by-step explanation:

Others are not

Answer:

A

Step-by-step explanation:

1st graph is the same for all choices.

3d graph is horizontal line y=50 or C(x) = 50.

It is A or B choices.

We have white circle , that means value of x is not included x > 6.

It is A.

We can check the 2d line. By continuing line we can see that y -int = 10, and we can see slope= rise/run = 5. Also, 2<x≤ 6.

Answer:

It's the first option.

Step-by-step explanation:

Note that the filled circles means that the value is included in the inequality  and the clear circle means it is not.

For the first 2 Gb  ( 0 to 2 inclusive) used,  the cost is $15.

Then for x > 2 up to and including x = 6 ( that is 6 Gb used)  it rises at a rate of 5 dollars per Gb + $10,  so its 5x + 10 for 2 < x <= 6.

Then the cost stays at $50.

Answer:

F is greater than 25

F is positive

Step-by-step explanation:

You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.

You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.

Hope this helps!

The data is already sorted for us. If it wasn't, then you would have to write the values from smallest to largest.

The median is the middle most value 9 (in slot 4)

The median separates the data into two halves, which I'll call the lower and upper half

lower half  = {4,6,8}

upper half = {13,21,31}

The median of the lower half is 6, and this is the value of Q1.

The median of the upper half is 21. This is the value of Q3

Answer:

7

Step-by-step explanation:

10+7+1+6+7+9+8+10+2+5

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

10

65 ÷ 10

= 6.5, round up, = 7

Answer:

I took the quiz and the answer is 7

Step-by-step explanation:

Answer:

reflection y=x

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

This is known to be the mix up or the combination of transformations that is said to be seen as one transformation.

Note that in the image attached, when reflection of y axis is said to be cast on the x - axis, one can see that triangle a can be maps onto triangle b and thus:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

Learn more about reflection from

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Answer:

a. 14

b. 28

Step-by-step explanation:

a. ex: (6+3)2 - 4 = 9(2) - 4

18 - 4 = 14

b. ex: 23 + (14 - 4) / 2

Use PEMDAS

P 1st

10

D over A

5

A

28

Hope this helps!

Answer:

its a

Step-by-step explanation:

Answer:

The third side is sqrt(77)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + b^2 = 9^2

4+ b^2 = 81

Subtract 4 from each side

b^2 = 81-4

b^2=77

Take the square root of each side

sqrt(b^2) = sqrt(77)

b = sqrt(77)

The third side is sqrt(77)

Answer:

-22, 4, -27, 2

Step-by-step explanation:

-10 + (-12) = -10 - 12 = -22

-3 + 7 = 4

-11 - 16 = -27

-13 - (-15) = -13 + 15 = 2

Answer:

-22 4 -27 2

Step-by-step explanation:

-10 + (-12) = -22

-3 + 7 = 4

-11 - 16 = -27

-13 -(-15) = 2