A party is held in a large tent with a perimeter between 100 m and 150 m. A robot travels along
the perimeter to serve refreshments to guests. It is
programmed in such a way that it travels 3 metres,
then turns through an angle of x degrees clockwise, travels
another 3 metres, then turns through an angle of x degrees
clockwise, and so on, until it reaches its initial
position where the staff will top up the
refreshments. Given that the robot is only able
to turn through an integer value of x, find two
possible values of x and the corresponding
perimeters of the tent.​

Answers

Answer 1

Step-by-step explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°

Answer 2

Step-by-step explanation:

the tent can be :

1. perimeter 120 m.

40 sides polygon with 3 metres length each.

so, x = 360/40 = 9°

2. perimeter 135 m.

45 sides polygon with 3 metres length each.

so, x = 360/45= 8°


Related Questions

write the equation of the circle in standard form: Center (7,0) R=1

Answers

Answer:

[tex](x-7)^2+y^2=1[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]

2) Plug in the radius (1)

[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]

I hope this helps!

Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every
morning. His goal is to run at least 6 miles by the end of the week.
Which inequality represents the least number of days after Monday that Joseph needs to run
to reach his goal? *

Answers

Answer:

2 + 1 1/3x ≥ 6

x ≥ 3 days

Step-by-step explanation:

Monday = 2 miles

Other days = 1 1/3 miles

x = least number of days after Monday that Joseph needs to run

to reach his goal

Total miles = 6 miles

The inequality is

2 + 1 1/3x ≥ 6

1 1/3x ≥ 6 - 2

1 1/3x ≥ 4

4/3x ≥ 4

Divide both sides by 4/3

4/3x ÷ 4/3 ≥ 4 ÷ 4/3

x ≥ 4 × 3/4

x ≥ 3 days

A rectangular red sticker has a perimeter of 26 millimeters and an area of 30 square millimeters. What are the dimensions of the sticker? (blank) millimeters by (blank) millimeters

Answers

Answer:

3 millimeters by 10 millimeters

Step-by-step explanation:

7x-5y=15

solve for y, please help

Answers

Answer:

7x-15/5

Step-by-step explanation:

Given :-

A linear equation in two variable is given to us . That is 7x - 5y = 15.

And , we need to solve for y in terms of x . So taking the given equation ,

[tex]:\implies[/tex] 7x - 5y = 15

[tex]:\implies[/tex] -5y = 15 - 7x

[tex]:\implies[/tex] 5y = 7x - 15

[tex]:\implies[/tex] y = ( 7x - 15)/5

Hence the required answer is 7x-15/5.

PLEASE HURRY! i’ll give brainliest

Answers

Answer:

1

Step-by-step explanation:

(4x2 - X - 5) + (6x2 + x)

Answers

Answer:

10x2 - 5 (the 2 has to be small too.)

I will give brainiest

Answers

Answer:

2

Step-by-step explanation:

74 inches

Step by step explanation:

Whats 100,000,000 Divided by 100,000?

Im curious and i dont have the time to solve

Answers

Answer:

1000

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

your welcomeeeeeee

What is an equation of the line that passes through the point (6,-2)) and is parallel to the line 5x+3y=6

Answers

Answer:

[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

Write the equation of this line from the table provided.

SOMEONE PLEASE HELP ASAP I WILL GIVE YOU BRAINLIEST!!!

Answers

Answer:

y=2x-1

Step-by-step explanation:

If you are supposed to write the equation in slope-intercept format, (y=mx+b), then y=2x-1 would be the answer. 2 is the slope(m), and -1 is the y-intercept(b). I hope thus helped :).

tep Looking at the powers of 3 shown, it is clear that each power may be found by multiplying the previous power by 3. Or you can also see that each power may be found by dividing the power after it by 3. Using this pattern, what must 31 equal?​

Answers

Answer:

56-770-=76880-87760-7765676r[790-0698--978644870

Step-by-step explanation:

lol

i need some help lol so um new to learning on algebra and my teach not doing to good on explaining. so here is my problem to solve If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

Answers

Answer:

3 x 5 + 5 x 3 would be equal to 30  

Step-by-step explanation:

Which triangle makes this statement true?

Answers

Answer:

A.

Step-by-step explanation:

i pretty sure

A rectangular prisim has a base with an area of 200cm squared. The volume of the prism is 3,000cm cubed. What is the height of the prism?

Answers

Answer:

[tex]Height = 15cm[/tex]

Step-by-step explanation:

Given

[tex]Base\ Area = 200cm^2[/tex]

[tex]Volume = 3000cm^3[/tex]

Required

The height

Volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

This gives

[tex]Height = \frac{3000cm^3}{200cm^2}[/tex]

[tex]Height = \frac{3000}{200}cm[/tex]

[tex]Height = 15cm[/tex]

I need helpp! I needdd help

Answers

.................................

Insert space to express 725895213 in International number
system​

Answers

Answer:

725 895 213

Step-by-step explanation:

Seven hundred and twenty five million, eight hundred and ninety five thousand, two hundred and thirteen.

To express the number 725,895,213 in the International number system, spaces can be inserted every three digits from the right. Here's the number with spaces added:

725 895 213

This format with spaces is commonly used to enhance readability and make large numbers easier to comprehend.

The term "number system" refers to a mathematical notation or method used to represent numbers. It provides a structured way to count, measure, perform calculations, and express numerical quantities. Different number systems exist, and they vary based on the symbols used, the base or radix of the system, and the rules for representing numbers.

The most common number system used worldwide is the decimal system, also known as the base-10 system. In the decimal system, numbers are represented using ten digits (0-9), and the value of each digit is determined by its position or place value within the number.

To know more about number system​ here

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Find the value of -8 - 12 - (-20).
24
-40
16
0

Answers

Answer:

it's = 0

you have to use the steps of maths

D) 0
Hope that helped!

Is knowing the coordinates of the vertex of a parabola enough to determine the domain and range? a. No: we would have no information about the domain. c. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n. b. No: we would need to know if the vertex is a minimum or a maximum. d. Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.

Answers

Answer:

The answer would have to be B

Step-by-step explanation:

explains itself

Answer:it’s B

Step-by-step explanation:

A hiking trail is 2 3/5 miles long. Lucy walks 1/2 of the trail before stopping for a water break. How many miles does Lucy walk before stopping?

Answers

Answer:

look at the picture I have sent

Answer:

1.3

Step-by-step explanation:

First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.

please help me! i will mark brainliest! 20 points!!!

Answers

Answer: First answer is diameter second answer is area and radius the last answer is volume

Step-by-step explanation:

which equation can be used to solve for x in the following diagram ?

Answers

C 35+5x=90
5x=90-35
x=55/5
x=11
Hope this helped

what does 5 out of 7 equal to??

Answers

Answer:

5 out of seven is  71%

THank Go oGle

Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.

What is the probability that he catches 2 red balls and 1 ball of each of the other colors?

Answers

Answer:

81/792 or 9/88 or 10.2%

Step-by-step explanation:

Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3

3 * 3 * 3 * 3 = 81

81/792 simplified is 9/88 percentage is 10.22%

The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total numbers of balls are 12.

Each color has 3 balls.

If total 12 balls are tossed, the number of ways of catching 5 of them is,

¹²C₅ = 792

The number of ways of catching 2 red balls out of 3 is ³C₂ = 3

The number of ways of catching 1 green ball out of 3 is ³C₁ = 3

The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3

The number of ways of catching 1 white ball out of 3 is ³C₁ = 3

Thus, the probability as per the question is given as follows,

(3 × 3 × 3 × 3)/792

= 81/792

= 0.1025

Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.

To know more about probability click on,

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it takes luis 4.5 minutes to read 3 pages. how long will it take him to read 32 pages?

Answers

Answer:

48 minutes

Step-by-step explanation:

4.5/3 = 1.5

1.5 x 32 = 48

Don’t give me a website pls

Just say a b c or d

What is the axis of symmetry of the following function?
f(x) = (x – 7)+3

A. x=0

B. x=-1/2

C. x=7

D. x=-7

Answers

C x=7 hop this helps you

What is the total area, in square feet, of the house and backyard? A) 200 B) 400 C) 4,000 D) 5,200​

Answers

Answer:

Area = 5200 ft²

Step-by-step explanation:

First let us find the area of the house.

Area = l × w

Area = 30 ft × 40 ft

Area = 1200 ft²

Now let us find the area of the backyard.

Area = l × w

Area = 80 ft × 50 ft

Area = 4000 ft²

Now that we have found the area of the house and the backyard, it asks us to find the total area of house and the backyard. To find the answer, you will both, the area of house and the area of the backyard.

Area of house + Area of backyard

1200 ft² + 4000 ft²

5200 ft²

Hope this helps, thank you :) !!

Values equal to -4/5

Answers

Answer:

-0.8, -8/10

Step-by-step explanation:

-8/10
and just keep multiplying by 2
-16/20
-32/40

PLEASE HURRY! i’ll give brainliest

Answers

The answer is boxplot

I’m pretty sure it is a histogram because they give you a more organized chart.

simplify -5 1/4 - (-7 1/2) please
also ignore my tabs pls

Answers

Answer: 1/8

Step-by-step explanation:

1/2 x 1/4 = 1 x 1/2 x 4

HELP ME IM STUCK PLEASE QUICK

Answers

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

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