What is the least angle of rotation that maps the regular heptagon onto itself? Round your answer to
the nearest whole degree.

Answers

Answer 1

Answer:

[tex]Minimum = 51^{\circ}[/tex]

Step-by-step explanation:

Given:

[tex]Shape = Heptagon[/tex]

Required

Determine the least angle of rotation that places the heptagon on itself

First, we write out the number of sides of a heptagon

[tex]Sides = 7[/tex]

Next, we write out the measure of 1 complete rotation

[tex]1\ Complete\ Rotation = 360^{\circ}[/tex]

The minimum angle of rotation is then calculated as:

[tex]Minimum = \frac{1\ Complete\ Rotation}{Sides}[/tex]

[tex]Minimum = \frac{360^{\circ}}{7}[/tex]

[tex]Minimum = 51.4285714286^{\circ}[/tex]

[tex]Minimum = 51^{\circ}[/tex]

Hence, the minimum rotation angle is [tex]51^{\circ}[/tex]


Related Questions

what is 8 ÷ 2(2 + 2) = i have been stuck on this problem for 1 year now Halp !!!
will give brainliest for the right answer thats funny

Answers

Answer:

ok after reviewing this answer for the past 8 years i just figured it out

1(6)

Step-by-step explanation:

i know this may come as a huge shock however this is actually true. It's been a long emotionally journey finding this answer but please bear with me, as im crying really hard right now since I cannot believe I actually solved it. As unbelievable as it sounds I will not be providing work as i think my mind is too big and swag, but please believe me on this because im  literally the kid genius

edit: ok just ran this through my totally not paid for calculator with my mcdonalds money but it is actually 16 i am literally deleteing   my account this is so embarassing for me

Answer:

8÷2= 4 and (2+2)= 4 .....

What is the equation of the solid boundary line?

and can you explain how you solved it?

Answers

Answer:

solid boundary line: y = -1/2 x + 4

shaded area: y ≥ -1/2 x + 4   and    y < x+1

Step-by-step explanation:

solid boundary line pass (0,4) (2,3)

slope (m) = (3-4) / (2-0) = -1/2

y intercept (b) = 4

equation: y = mx + b        y = -1/2 x + 4

system: y ≥ -1/2 x + 4

dotted line: (0,1) (2,3)

m = (3-1) / (2-0) = 1

b = 1

equation: y = x + 1

system: y < x+1

Sam bought a Blu-ray disc that normally costs $20. The store was running a sale that was a 15% discount for the
disc. What was the amount of discount Sam got on his disc?

Answers

Answer:

15% of $20 is $3

So the price of his disc was reduced to $3

Step-by-step explanation:

whats 3% as a fraction​

Answers

Answer:

3/100

Step-by-step explanation:

3% = 3/100 = 0.03

0.03 100

——— x ———

1 100

=

3/100

2200 people attend a football game. If 3/4 of those who came were not season ticket holders, how many were

Answers

3/4 = 0.75

2200 x 0.75 = 1650

2200 - 1650 = 550.

550 were season ticket holders

Corina read 1/12 of her book in 1/3 of an hour. How much of her book will she have read in 1 hour? A: 1/36 B: 2/3 C: 1/4 D: 1/2. Choose correct answer. Plz and thx.

Answers

The answer is C. 1/4
* the work may not make sense but it’s the correct answer ( I think)

Triangle PQR with vertices P(3, −6), Q(6, −9), and R(−15, 3) is dilated by a scale factor of 3 to obtain triangle P′Q′R′. Which statement best describes triangle P′Q′R′? It is similar to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is congruent to triangle PQR and has coordinates P′(1, −2), Q′(2, −3), and R′(−5, 1). It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9). It is congruent to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).

Answers

Answer:

It is similar to triangle PQR and has coordinates P′(9, −18), Q′(18, −27), and R′(−45, 9).

Step-by-step explanation:

What number makes this equation true?


4×3,270=(4×3,200)+(4×□)

Answers

X=520 Isolate the variable by dividing each side by factors that don't contain the variable.

Simplify the equation: (3√-5+2)(4√-12-1)

Answers

Answer: 8/x+5 - 6/x+9

               2/x-9  * 5/x-4

Step-by-step explanation: Multiply The numbers 3 * 5 =15    =(15√- +2)(4 * 12√- -1) then multiply the numbers 4 * 12=48  =(15√- +2)(48√- -1) then apply minus -plus rules +(-a)= -a    = 15 *48√-√- -15 *1 *√- +2 * 48√- -2 *1 then simplify =81√- -722

PLEASE HELP QUICKLYYY!!!!


A triangle and a vertical line are shown. If the triangle is revolved about the vertical line, what is the resulting object? a right triangle with one side against a vertical line solid cylinder hollow cylinder hollow cone with truncated top solid cone

Answers

Answer:

a solid cone

Step-by-step explanation:

A solid revolution is a general method that is used to revolve a given figure about its reference plane and produce the required solid. This process produces a three dimensional shape from a two dimensional figure.

A triangle in placed vertically on a straight vertical line. When the triangle is revolved about the vertical line a solid cone figure is obtained. The triangle generates a cone shape figure.

Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a King and the second card is a $\heartsuit$

Answers

Answer:

1 / 51

Step-by-step explanation:

Given that :

Number of cards in a deck = 52

Number of heart suit = 13

Number of kings = 4

Recall:

Probability = (required outcome / Total possible outcomes)

P(first card is king) = 4/52 = 1/13

P(second card is heart) = 13/51

Hence,

P(first card is king) * P(second card is heart)

(1/ 13) * (13/51) = 13 / 663 = 1/ 51

Answer:

1/53

Step-by-step explanation:

So, you have 4 kings in a deck. You have a 4/52 chance in the first one which simplifies to 1/13. There are 13 hearts in a deck. 13/53 * 1/13 = 1/53. Sorry if I got this one wrong.

answer plz ill mark you brainliest bro
ALGEBRA-
Which expression is equivalent to (3x−2)(x+6) ?

4x + 4
3x² + 20x + 12
3x2+16x−12
4x² + 12x + 4

Answers

Answer:

1= false

2= one sloution

3=All real numbers are solutions.

4=No real solutions.

Step-by-step explanation:

hope this helps

3x2+16x-12
Hope this helps! Mark as brainliest please!!

Jason and Abby finished a meal at a fancy restaurant and their bill was $136.89. They wanted to give the waiter a 20% tip. How much is the tip? _____ (remember to round to the nearest hundredth.) How much is their total bill, including the tip? _____

Answers

The tip is $28

their total bill + tip = $165

(answers are rounded up)

Answer now pls I’ll give you brainliest just pls answer

Answers

Answer:

7,460 (or 7460 as some non-native English speakers would write it) since you always round a number down when it ends in 1 through 4, and always round it up when it ends in 5 through 9.

Step-by-step explanation:

pls give me brainliest plssssssssssssssssssssss.

Answer:

18.)   7,459.82 rounded to the nearest whole number is 7,460.

19.)   523.791 rounded to the nearest tenth is 523.8.

20.)   6,507.125 rounded to the nearest hundredth is 6,507.13.

Jimenez Paint Company used ⅙ gallon of paint to paint ½ of a gym wall. How many gallons of paint would it take to paint all four walls of the gym?




a: 4 gallons


b: 4/3gallons


c:2/3 gallons



d:3/4gallons

Answers

1/3 for one total wall. So multiplied by four is 4/3 total gallons
Correct answer is B. 4/3

Because if half a wall uses up 1/6 gallon of paint

A full wall uses 2/6 gallon of paint

So multiple that 2 by 4 (the walls) and you get 8

So 8/6 —— then you need to simplify so divide the top and bottom by 2 and you get =

4/3 gallons of paint

What is the length of the hypotenuse of an isosceles right triangle (both legs congruent), if the leg is 8?

Answers

Answer: 8 sqrt 2

Step-by-step explanation:

An isosceles right triangle is also known as a 45-45-90 triangle. In a 45-45-90 triangle, both the legs are equal, and the hypotenuse is the leg of the triangle multiplied by the square root of 2.

Another way to solve this is to us the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, a^2 + b^2 = c^2, with c being the hypotenuse. Since a and b are both equal to 8, 8^2 + 8^2 = c^2. This simplifies to 128 = c^2. By taking the square root of both sides, you get sqrt 128 = c. This simplifies to c = 8 sqrt 2

A shark swimming 14 feet below the surface of the water. It descends 15 feet to catch a fish and then ascends 8 feet. Describes the location of the shark

Answers

Answer:

22 FT

Step-by-step explanation:

14+15-8=22

what is 87.92 rounded to the nearest tenth

Answers

Answer:

87.92 rounded to the nearest tenth would be 87.9 because you wouldn't round up unless the number after the 9 was 5 or higher.

Step-by-step explanation:

Step-by-step explanation:

87.9

......

hope it helps!

What is the solution to the system below?
-4x + 5y = 27
x - 6y = -2

Answers

Step-by-step explanation:

I used substitution method

-4x+5y=27

x-6y=-2

substitute x=-2+6y

I am again using : x-6y=-2

x(-2+6y)-6y=-2

-2+y=-2

y=-2÷2

y=-1

finding x:(substituting y=-1)

x-6y=-2

x-6(-1)=-2

x+6=-2

x=-2-6

x=-8

check:

-4x+5y=27

-4(-8)+5(-1)=27

32+-5=27

Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)

Answers

Answer: (x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2

Step-by-step explanation: Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

((((((((((((((x-4)•(x-1)•(x+2))•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

2

:

Equation at the end of step 2

(((((((((((((x-4)•(x-1)•(x+2)•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

3

:

Equation at the end of step 3

((((((((((((x-4)•(x-1)•(x+2)•(x+3)•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

4

:

Multiplying Exponential Expressions:

4.1 Multiply (x-4) by (x-4)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-4) and the exponents are :

1 , as (x-4) is the same number as (x-4)1

and 1 , as (x-4) is the same number as (x-4)1

The product is therefore, (x-4)(1+1) = (x-4)2

Equation at the end of step

4

:

(((((((((((x-4)2•(x-1)•(x+2)•(x+3)•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

5

:

5.1 Rewrite (1-x) as (-1) • (x-1)

Multiplying Exponential Expressions:

5.2 Multiply (x-1) by (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-1) and the exponents are :

1 , as (x-1) is the same number as (x-1)1

and 1 , as (x-1) is the same number as (x-1)1

The product is therefore, (x-1)(1+1) = (x-1)2

STEP

7

:

Pulling out like terms

7.1 Pull out like factors :

-x - 2 = -1 • (x + 2)

Multiplying Exponential Expressions:

7.2 Multiply (x + 2) by (x + 2)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+2) and the exponents are :

1 , as (x+2) is the same number as (x+2)1

and 1 , as (x+2) is the same number as (x+2)1

The product is therefore, (x+2)(1+1) = (x+2)2

STEP

9

:

Pulling out like terms

9.1 Pull out like factors :

-x - 3 = -1 • (x + 3)

Multiplying Exponential Expressions:

9.2 Multiply (x + 3) by (x + 3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as (x+3)1

and 1 , as (x+3) is the same number as (x+3)1

The product is therefore, (x+3)(1+1) = (x+3)

((((((((x-4)2•(x-1)2•(x+2)2•-1•(x+3)2•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

10

:

Equation at the end of step 10

(((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

11

:

STEP

12

:

Pulling out like terms

12.1 Pull out like factors :

-x - 4 = -1 • (x + 4)

Equation at the end of step

12

:

((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1)•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

13

:

STEP

14

:

Pulling out like terms

14.1 Pull out like factors :

-x - 4 = -1 • (x + 4)

Equation at the end of step

14

STEP

15

STEP

16

:

Pulling out like terms

16.1 Pull out like factors :

-x - 4 = -1 •

Equation at the end of step

16

:

STEP

17

:

STEP

18

:

Pulling out like terms

18.1 Pull out like factors :

-x - 4 = -1 • (x + 4)

Multiplying Exponential Expressions:

18.2 Multiply (x + 4) by (x + 4)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+4) and the exponents are :

1 , as (x+4) is the same number as (x+4)1

and 1 , as (x+4) is the same number as (x+4)1

The product is therefore, (x+4)(1+1) = (x+4)2

Equation at the end of step

18

:

(((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(-x-1)•(2-x)•(3-x)•(x+1))•(2-x))•(x-3)

STEP

19

:

STEP

20

:

Pulling out like terms

20.1 Pull out like factors :

-x - 1 = -1 • (x + 1)

Multiplying Exponential Expressions:

20.2 Multiply (x + 1) by (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+1) and the exponents are :

1 , as (x+1) is the same number as (x+1)1

and 1 , as (x+1) is the same number as (x+1)1

The product is therefore, (x+1)(1+1) = (x+1)2

Equation at the end of step

20

:

((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)•(3-x)•(2-x))•(x-3)

STEP

21

:

21.1 Rewrite (2-x) as (-1) • (x-2)

Multiplying Exponential Expressions:

21.2 Multiply (x-2) by (x-2)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-2) and the exponents are :

1 , as (x-2) is the same number as (x-2)1

and 1 , as (x-2) is the same number as (x-2)1

The product is therefore, (x-2)(1+1) = (x-2)2

22.1 Multiply (x-3) by (x-3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-3) and the exponents are :

1 , as (x-3) is the same number as (x-3)1

and 1 , as (x-3) is the same number as (x-3)1

The product is therefore, (x-3)(1+1) = (x-3)2

Final result :

(x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2

find the locus of a point which moves such that its distance from (1,2) is always 5 units​

Answers

Answer:

TbH my brain is to tired lol

Step-by-step explanation:

sorry

JjjjjjsjsjjzjkKJJJJJ

simplify 25+ (15 - 10)​

Answers

Step-by-step explanation:

25+5

=30

plzzzz if it helps you then plzz give me brainliest

Evaluate the expression
-5+(-13) + 10 - 10 =

Answers

-5 - 13 + 10 - 10 =
the tens cancel out
-5 - 13 = -18

Answer:
-18

Answer:

-18

Step-by-step explanation:

A add and a minus makes a minus so you do -5  - 13 = -18

-18 + 10 = -8    -8 - 10 = -18   You do not have to write this out as positive 10 - 10 is equal to 0

and y
together
in 10 days
15 days. In how
alone
can do a piece
of wool
x alone
do it
mony
would y
can finish
work?
the​

Answers

Answer:

what its hard tho can you scan tha problem

The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length

Answers

Based on the area of the rectangle and the length of one side, the length of the other side is 8 units

The area of a rectangle is calculated as:

Area = Length x Width

The length is already given so the width is:

72 = 9 x Width

Width = 72 / 9

Width = 8 units

In conclusion, the other side length is 8 units.

Find out more about rectangular area at https://brainly.com/question/25292087.

Answer:

The length of other side of rectangle is 8 unit.

Step-by-step explanation:

Given :

[tex]\pink\star[/tex] Area of rectangle = 72 sq units[tex]\pink\star[/tex] Lenght of rectangle = 9 units

To Find :

[tex]\pink\star[/tex] Breadth of rectangle

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\purple{Area_{(Rectangle)} = l \times b}}}}}}[/tex]

[tex]\blue\star[/tex] l = length [tex]\blue\star[/tex] b = breadth

Solution :

Substituting all the given values in the formula to find breadth of rectangle :

[tex]{\dashrightarrow{\sf{Area_{(Rectangle)} = l \times b}}}[/tex]

[tex]{\dashrightarrow{\sf{72= 9 \times b}}}[/tex]

[tex]{\dashrightarrow{\sf{b = 72\div 9}}}[/tex]

[tex]{\dashrightarrow{\sf{b = \dfrac{72}{9}}}}[/tex]

[tex]{\dashrightarrow{\sf{b = \cancel{\dfrac{72}{9}}}}}[/tex]

[tex]{\dashrightarrow{\sf{b = 8 \: unit}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Breadth = 8 \: unit}}}}}}[/tex]

Hence, the other side length of rectangle is 8 unit.

[tex] \rule{300}{1.5}[/tex]

Please help me! I don’t know what to do!!! 15 pts!!

Answers

I believe the answer is A

Answer:

is (A).

Step-by-step explanation:

The answer is (A).

The correct range for the function ƒ(x) = x − 9 if the domain is (3, -3, 0) is:

Answers

Answer:

The correct range is thus;

(-6,-12,-9)

Step-by-step explanation:

Here, we want to get the range given the domain

we simply make a substitution of the domain in the equation so as to get the range

So let us substitute the value of the domain one after the other

f(3) is 3-9 = -6

f(-3) = -3-9 = -12

f(0) = 0-9 = -9

Alicia lives in a town whose streets are on a grid system, with all streets running east- west or north-south without breaks. Her school, located on a corner, lies three blocks south and three blocks east of her home, also located on a corner. If Alicia only walks south or east on her way to school,

how many possible routes can she take to school?

Answers

To get to the school Alicia should walk 3 times south and 3 times east: SSSEEE. Total # of routs to the school is # of permutation of SSSEEE, which is 6!/(3!3!)=20 (# of permutations of 6 letters out of which 3 S's and 3 E's are identical);

Now, we wan to count all the routs which start with {SS}. So, {SS} is fixed and then there can be any combination of the rest 4 letters SEEE. So, all possible routs which start with {SS} equal to # of permutation of SEEE, which is 4!/3!=4 (# of permutations of 4 letters out of which 3 E's).

P=4/20=1/5.

Hope this helps !

does anyone minding helping me with exterior angles ? due in 2 days

Answers

Answer:

x=25

Step-by-step explanation:

(x+40)+(3x+10)=6x

4x+50=6x

50=2x

25=x

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ CBD is an exterior angle of the triangle, then

6x = x + 40 + 3x + 10, that is

6x = 4x + 50 ( subtract 4x from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Thus

∠ CBD = 6x = 6 × 25 = 150°

∠ CBA and ∠ CBD are adjacent angles and supplementary, sum to 180°, then

150° + ∠ CBA = 180° ( subtract 150° from both sides )

∠ CBA = 30°

ill give brainly :))))

Answers

20 now give brainly

if that is not it its -20

To simplify the expression all you must do is add common numbers, when you add all the negatives you are left with -24 and 4r.
So I believe the answer is
4r + -24
or
4r-24
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