2021 balls are arranged in a row and are numbered from 1 to 2021. Each ball is coloured in one of four
colours: green, red, yellow or blue. Among any five consecutive balls there is exactly one red, one yellow and one blue ball. After any red ball the next ball is yellow. The balls numbered 2, 20 and 202 are green. What colour is the ball numbered 2021?
(A) green
(B) red
(C) yellow
(D) blue
(E) not determined

The length of the rectangular table the carpenter builds given the scale is 110 feet

A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension

Length of the table = (11 x 7 1/2) ÷ 3/4

(11 x 15/2) x 4/3 = 660/6 = 110 feet

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Answer: I think its D

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.

Answer:

C

Step-by-step explanation:

30, 32, 33, 33, 34, 37, 39, 41, 43, 47, 49, 52, 53, 57

Middle numbers: 39 + 40 = 80/2 = 40

Highest number: 57

Lowest number: 30

I hope this helps!

Answer:

18

Step-by-step explanation:

Formula : V = πr²h/3

Fill in the values.

(3.14)(4)^(2)(6/3)

V=100.48 yd^3

Answers:

========================================================

Explanation:

Answer:

Class C has least variability and Class B has highest variability.

I think it will help you

Range= Large- Small Data

Answer:

Step-by-step explanation:

She plans to spend 3/36 of her budget on a cake ($24.00).

Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.

[tex]\frac{24}{1}[/tex]  ÷  [tex]\frac{3}{36}[/tex]

Then, multiply the reciprocal of 3/36, which is 36/3.

= [tex]\frac{24}{1}[/tex]  ×  [tex]\frac{36}{3}[/tex]

= [tex]\frac{864}{3}[/tex] = 288

So, Dane's total budget for the birthday is $288.

Hope this helped !

Answer:

The total number of students that are in Ms. Cunningham's class is 30 students

Step-by-step explanation:

the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.

Total number of students = 12 + 18 = 30

Answer:

option c

Step-by-step explanation:

Area of triangle:

a = 2 and c = 3

base = 6ac²

         = 6 *2 * 3 * 3

        = 108 cm

height = base + 3

          = 108 + 3

          = 111 cm

[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]

                              [tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]

Answer:

5,994 cm²

Step-by-step explanation:

Formula

Given

Solving

Answer:

[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]

Step-by-step explanation:

i hope it's to help

Explanation:

Plot all of the data points on the same xy grid as shown below.

I used GeoGebra to make the diagram.

The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.

Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.

Answer:

Yes

Step-by-step explanation:

Linear equations are equations in which the highest power of the equation is always 1, they look like a straight line when put on graph and they usually have this form: y = ax + b

y = 5x + 1 is a good example of a linear equation but they may also look like: y = 2x (b = 0) or y = x + 3 (a = 1).

Answer:

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

Answer:

10 ft

Step-by-step explanation:

Given:

Plug in the values given:

Cancel π from both sides and simplify:

Answer:

The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An orange cone has a exact volume of 120π ft³.

And, The radius = 6 feet

Now, We know that;

Volume of cone = πr²h/ 3

Hence, We get;

⇒ 120 = 3.14 × 6² × h / 3

⇒ 120 = 3.14 × 12h

⇒ 120 = 37.68h

⇒ h = 3.18 feet

Thus, The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

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The value of the mean height for the given data will be 84.6 ft. Option A is correct.

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

Given data;

Mean,[tex]\rm\bar x = 84[/tex]

Standard deviation,[tex]\sigma= 2[/tex]

No of sample,n=64

The mean height is foundd as;

[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]

84.6>84.49

The value of the mean height for the given data will be 84.6 ft.

Hence option A is correct.

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Transforming the solid line to the dotted line would change the equation of the functions

The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]

The equation of the solid line is given as:

y = √x

The solid line undergoes the following transformation to match the dotted line

The rule of the above sequence of transformations is:

(x,y) -> (x - 6, -y + 3)

Using the above transformation rule, the equation of the dotted line is:

[tex]f(x) = -\sqrt{x - 6} + 3[/tex]

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Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

[tex]\frac{1}{x}[/tex] = rate of completion

Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]

[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]

[tex]\frac{7}{6} = \frac{1}{x}[/tex]

[tex]x = \frac{6}{7}[/tex]

Centerpieces --> 7/4 hours

x = time together    [tex]\frac{1}{x}[/tex] = rate of completion

Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]

[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]

[tex]\frac{4}{7} = \frac{1}{x}[/tex]

[tex]x = \frac{7}{4}[/tex]

Balloons --> 15/16 hours

x = time together    [tex]\frac{1}{x}[/tex] = rate of completion

You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]

[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]

[tex]\frac{16}{15} = \frac{1}{x}[/tex]

[tex]x = \frac{15}{16}[/tex]

Shortest amount of time to complete all tasks is:

[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex]  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

Answer:

x = 109°

Step-by-step explanation:

x = 64+45 = 109°

it looks simple, but that's the answer

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

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Answer:

1/5

Step-by-step explanation:

because 3/5*1/3=1/5

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Answer:

the answer is x= -6 and y= -13

Answer:

8

Step-by-step explanation:

a*b=72

a=9

9*b=72

b=72/9

b=8

Answer: 6.9

Step-by-step explanation:

Solve for the hypotenuse in the smaller triangle 5.83

Solve for x²= 9² - 5.83² = 81 - 33.99

X² = 47.01

Answer:

hundredth place

Step-by-step explanation:

because ummmm yeah

[tex]~~~~~~V = 4.19 \\\\\implies \dfrac{4}3 \pi r^3 = 4.19\\\\\implies r^3 = \dfrac{4.19 \times 3}{4\pi}\\\\\implies r^3 = \dfrac{12.57}{4\pi} \\\\\implies r = \sqrt[3]{\dfrac{12.57}{4\pi}}\\\\\implies r= 1.00009..\\\\\implies r \approx 1~ m[/tex]

The value of radius of water-walking ball is,

⇒ r = 1.003 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A water-walking ball has a volume of approximately 4.19 m³.

Since, We know that;

Volume of sphere = 4/3πr³

Hence, We get;

⇒ 4.19 = 4/3 × 3.14 × r³

⇒ r³ = 1.001

⇒ r = 1.003 m

Thus, The value of radius of water-walking ball is,

⇒ r = 1.003 m

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Answer:

n is 68 and m is 44

Step-by-step explanation: