YEAR 9 MATHS -SYMMETRY QUESTION

Tick whether the statement below is true or false for this rectangle.

It has rotational symmetry of order 4

(1 mark)

Answer: B. 2∛3

Step-by-step explanation:

[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

Answer:

WERE THE GRAPH

Step-by-step explanation:

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

Answer:

Option (D). 110°

Step-by-step explanation:

Since EB and AD are diameter,

[tex]m(\widehat{ECB})[/tex] = [tex]m(\widehat{ACD})[/tex] = 180°

[tex]m(\widehat{ECB})=m(\widehat{EDC})+m(\widehat{BC})[/tex] = 180° -------(1)

And [tex]m(\widehat{ACD})=m(\widehat{AB})+m(\widehat{BCD})[/tex]

180° = 40° + [tex]m(\widehat{BCD})[/tex]

[tex]m(\widehat{BCD})[/tex] = 140°

Since, [tex]m(\widehat{BCD})=m(\widehat{BC})+m(\widehat{CD})[/tex]

[tex]2m(\widehat{BC})[/tex] = 140° [Given [tex]m(\widehat{BC})=m(\widehat{CD})[/tex]]

[tex]m(\widehat{BC})[/tex] = 70°

From equation (1),

[tex]m(\widehat{EDC}})[/tex] = 180° - [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{EDC}})[/tex] = 180°- 70°

Therefore, measure of arc(EDC) = 110°

Option (D) will be the answer.

Answer:

let x be the number of boys

given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73

also given is that x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students

let x be the number of boys.

Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73

also given is that

x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students.

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#SPJ2

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:

x- 3y - 7=0

Step-by-step explanation:

the line in the slope-intercept form:

m= 1/3 and point given (1, -2) by using which we find y-intercept:

General form of a line is: ax+by+c= 0

converting:

Answer:

x- 3y - 7=0

Step-by-step explanation:

Mark me BRAINLIEST please

Answer:

Measure of angle DBF = 106°.

Step-by-step explanation:

Given in the question,

m∠DGE = 53°

and line segment GE is the angle bisector of ∠DGF.

Since segment GE is the angle bisector of ∠DGF that means it divides the angle DGF into two equal parts.

Therefore, m∠DGE ≅ m∠FGE

m∠DBF = m∠DGE + m∠FGE

m∠DBF = 2(m∠DGE)

             = 2(53)°

             = 106°

Therefore, measure of angle DBF = 106°.

Ay is any one down to work together on this? Not just this question but the whole unit of geometry

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

Answer:

[tex](4x + 4)(x + 6) \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 24 \\ 4 {x}^{2} + 24x + 4x + 24 \\ 4x(x + 6) + 4(x + 6) \\ (4x + 4)(x + 6)[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

Answer:

2*2*11

Step-by-step explanation:

44 = 4*11

But 4 isn't prime

  = 2*2*11

All of these are  prime

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

Answer:

A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

Step-by-step explanation:

EXAMPLES :

An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.

A polynomial in X is denoted by p(x),q(x),g(x) etc.

Examples:

p(X)=x^2-3x+2 is a polynomial in X.

Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).

Hope it helps

Good luck on your assignment...

Answer:

x = 9

Step-by-step explanation:

2 - x= -7

Subtract 2 from each side

2- 2 - x= -7-2

-x = -9

Multiply by -1 on each side

x = 9

Answer:

A.

Step-by-step explanation:

Answer:

(x, y) → (x + 8, y + 4)

Step-by-step explanation:

Answer: C

Step-by-step explanation

Just took the test

Answer:

B)

D)

Step-by-step explanation:

B) 1 and 13 are x intercepts so true

D) greatest profit is when price is 7; after that profit is getting smaller because function is decreasing

Answer:

one slice of pizza: $1

one cookie: $2

Step-by-step explanation:

Emily: two pizzas (1+1)+three cookies (2+2+2)= 8

Rachel: one pizza (1)+four cookies (2+2+2+2)= 9

can i plz get brainilest? :)

Answer:

piza 1 buck

cooky 2 bucks

Step-by-step explanation:

i did not look at the other answer...

lol i copied the other answer

Answer:

So since you have the ratio of 1 : 4

we need to find 3 : x

since 1*3 = 3. We multiply all by 3

4*3 =12.

Answer is 12

Answer:

see below

Step-by-step explanation:

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Answer:

60

Step-by-step explanation:

360-95-120-85=60

Answer:

A, B, D

Step-by-step explanation:

The options are:

A. Magnitude is never a negative value

This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.

Hence, the polarity of the number is not necessary.

B. The magnitude of –1.9 is |–1.9| which is 1.9

This is true because they have the same numerical value.

C. The absolute value of a number is greater than its magnitude

This is false because absolute value and magnitude of a number are the same.

D. The numbers –4 and 4 have the same magnitude

This is true. They have the same absolute value, hence, they have the same magnitude.

E. The magnitude of -2/3 is less than the magnitude of 2/3

This is false as already explained in C above.

Answer:

a b d

Step-by-step explanation:

Answer:

Answers are: A,D, and  A

Step-by-step explanation:

I hope these are right

Answer:

15

Step-by-step explanation:

First you have to order the numbers from least to greatest

13, 13, 15, 20, 24

Then you find the value in the middle.

You have five numbers so your middle value is the number between the the two numbers on the left and the two numbers on the right which is 15.

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.

Thus, in triangle ABC, side AC lies in between angle A and angle C.

Therefore, since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

Learn more about included side on:

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Answer: A

Step-by-step explanation:

Answer:

each piece will be half a metre long

Step-by-step explanation:

4m into cm is 400cm

400 divided by 8 is 50cm

in metres this would be 0.5m a.k.a half a metre

Answer:

5198.4 grams of sand

Step-by-step explanation:

The bottom cube:

12*12*13= 144*13= 1872

The top pyramid:

144*6= 864

1872+864= 2736 cubic cm

THEN

2736*1.9= 5198.4 g of sand!

Brainliest plsss

Answer:

5.586 kg

Step-by-step explanation:

2940 ×1.9=  5586 kg or 5586 g

Answer:

C, 1/10 c^3d^4

Remove the cubic root operation by raising all the terms by 1/3

1/100^1/3 c^9^1/3 a^12^1/3

Simplify:

1/10c^3a^4

Answer:

2kx+4y=20 ⇒ kx+2y=10

3x+6y=30 ⇒ x+2y= 10

k is the coefficient of x, so it is the slope of the line