Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles will fit together perfectly, as shown in the diagram. Show calculations to prove that she is wrong.

Andrea Has 3 Tiles. One Is A Regular Octagon, One Is A Regular Pentagon And One Is A Regular Hexagon.

Answers

Answer 1

From calculations, we can say that the given tiles will not fit together perfectly.

How to find the sum of interior angles of a Polygon?

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

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Related Questions

For what values of x does f(x) = 0?
O-4, 0, 2
O-2, 0, 4
O-5, 0, 17
O-17, 0,5

Answers

The values of x does f(x) = 0 will be -4,0,2.Option A is corect.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The graph shows the cubic polynomial equation found as;

⇒(x+4)(x)(x-2)

The points f(x) = 0 is;

⇒(x+4)(x)(x-2)

⇒(-4+4)(0)(2-2)

⇒0

The values of x does f(x) = 0 will be -4,0,2.

Hence, option A is corect.

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Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.

Answers

Finding the constant of proportionality :

y = kx²160 = k(4)²k = 10

Finding y when x = 6 :

y = 10(6)²y = 10(36)y = 360

The value of y is 360 when x = 6.

If teens have about 80h a month of leisure time, how much time would they spend each activity a month?​

Answers

Answer:

depends on how many actives there are and maybe on if they preferred one over another it would get more time

Step-by-step explanation:

Determine the intervals on which the function is (a) increasing; (b) decreasing: (c) constant.
(a) The function is increasing on the interval(s)
(Use a comma to separate answers as needed. Type your answer in interval notation.)

Answers

The intervals of the function in which it is increasing, decreasing and constant are given as follows:

a) Increasing: [tex]x \in \left[-4.5, 2\right][/tex].

b) Decreasing: [tex]x \in \left[4,6\right][/tex].

c) Constant: [tex]x \in \left[2,4\right][/tex].

When a function is increasing?

A function is increasing when the graph of the function is pointing upwards, hence this function is increasing on the interval [tex]x \in \left[-4.5, 2\right][/tex].

When a function is decreasing?

A function is increasing when the graph of the function is pointing downwards, hence this function is decreasing on the interval [tex]x \in \left[4, 6\right][/tex].

When a function is constant?

A function is constant when it is graph is a line without inclination, hence this function is constant n the interval [tex]x \in \left[2, 4\right][/tex].

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A computer system is priced at $3200. A man buys
the computer system on hire purchase according
to the following terms: a down payment of $480
and the remaining to be paid in monthly
instalments over 2 years at a simple interest rate of
9.5% per annum.
(i) Find his monthly instalment.
(ii) Find the total amount the man pays for the
computer system.
(iii) How much more does he have to pay
for
buying the computer system on hire purchase?
dollar

Answers

(i) Monthly installment is $21.53 approximately.

(ii) Total amount man has to pay is $3716.8

(iii) Extra money he had to pay for buying the computer on hire is $516.8

Given,

Initial price of the computer(p) = $3200

Down payment = $480

Time period = 2 yrs

rate percent = 9.5%

(i) Monthly installment = ?

monthly installment =(capital amount × interest rate)/time in months

down payment to be paid = 3200 ₋ 480

                                         = 2720

therefore, monthly payment = 2720 × 9.5 × 1/ 12

                                            = $21.53

(ii) Total amount man has to pay = ?

                                           = down payment ₊ remaining amount ₊                                                                                                                                                 (remaining amount × t × r)                                          

                                           = 480 ₊ 2720 ₊ 2720 × 9.5 × 2

                                           = $3716.8

(iii) If he buys the computer on hire then how much more he has to pay = ?

= total amount ₋ initial cost

= 3716.8 ₋ 3200

= $516.8

Hence the man has to pay $21.23 as a monthly installment, $3716.8 as a total cost of the computer system and $516.8 as an extra amount if he buys it on hire.

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express 80 as a product of its prime factors, write the prime numbers in accending order

Answers

Answer:

80 as a product of prime numbers can be expressed as 2×2×2×2×5

Is this correct?? If not then whats the answer.
(image below)
Brainly for the first person to answer
this question

Answers

Answer:

fair share

Step-by-step explanation:

all are equal.

A swimming pool of 25m long and 20m wide is filled with water to a depth of 5m. what is the volume of water when it is 3/4 full?

Answers

Answer:

[tex]1875m^{3}[/tex]

Step-by-step explanation:

To find [tex]\frac{3}{4}[/tex] of the volume, we first must know the total volume.

The formula to find volume:

[tex]volume = length * width * depth[/tex]

We know the length is 25m, we know the width is 20m and we know the depth is 5m.

So, we can substitute them into the equation:

[tex]volume=25*20*5=2500m^{3}[/tex]

Now we know the total volume, we can find out the volume when it is [tex]\frac{3}{4}[/tex] full:

[tex]\frac{3}{4} * 2500 = 1875m^3[/tex]

Therefore, our final answer is [tex]1875m^{3}[/tex].

Find the coordinates of the intersection of the diagonals of parallelogram HJKL with the given vertices: H(-1, 4), J(3, 3), K(3, -2), L(-1, -1). (Drawing a picture helps!)

thank you!

Answers

Answer:

(1, 1)

Step-by-step explanation:

Given vertices of the parallelogram:

H = (-1, 4)J = (3, 3)K = (3, -2)L = (-1, -1)

Therefore the parallel sides are:

[tex]\sf \overline{HJ} \parallel \overline{LK}\:\: \textsf{ and }\:\: \overline{LK} \parallel \overline{HL}[/tex]

Therefore, the diagonals of the parallelogram are:

[tex]\sf \overline{LJ} \:\: \textsf{ and }\:\:\overline{HK}[/tex]

To find the coordinates of the intersection of the diagonals, either:

draw a diagram (see attached) and determine the point of intersection of the diagonals from the diagram, ordetermine the midpoint of either diagonal (as the diagonals of a parallelogram bisect each other, i.e. divide into 2 equal parts).

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

To find the midpoint of diagonal LJ, define the endpoints:

[tex](x_1,y_1)=L=(-1, -1)[/tex][tex](x_2,y_2)=J=(3,3)[/tex]

Substitute the defined endpoints into the formula and solve:

[tex]\begin{aligned} \implies \textsf{Midpoint of LJ} & =\left(\dfrac{3-1}{2},\dfrac{3-1}{2}\right)\\ & =\left(\dfrac{2}{2},\dfrac{2}{2}\right)\\ & =\left(1,1\right) \end{aligned}[/tex]

Therefore, the coordinates off the intersection of the diagonals of parallelogram HJKL are (1, 1).

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Check the order

HJKL

Means H,J and K,L are adjacent coordinates

Hence HK and JL are diagonals

We know diagonals of a parallelogram bisect each other so midpoint of any diagonal would be the intersection point

Midpoint of HK

(x1+x2/2,y1+y2/2)(-1+3/2,4-2/2)(2/2,2/2)(1,1)

3 erasers cost $4.41. Write a proportion that would solve for the cost of 4 erasers.

Answers

Answer:

$5.88

Step-by-step explanation:

3 erasers ⇒ $4,41

4 erasers ⇒ $A

A = 4 erasers * $4.41 / 3 erasers

A = $ 5.88

Answer:

see below

Step-by-step explanation:

Proportion:

4.41 is to 3 erasers as   'x' is to 4 erasers:

4.41 /3     =  x / 4       <======this is your proportion

 or rearrange

      4 *  4.41/3   = x  

(this results in x = $ 5.88  for 4 erasers )

Can someone help please?

Thank you.

Answers

Answer:

B and C are the answers.

Step-by-step explanation:

3b+b = 4b because the value of B or any variable is 1 so 3 +1 is four and 4b is our answer.

2(2b) the brackets tell the number before brackets should be multiplied and 2 × 2 is 4 so the answer is 4b

Which equations are true?

Select all that apply


A) -x + (-x) =0

B) x - (-x) = 0

C) None of the above.

Answers

The correct answer from the task content is; Choice C; None of the above.

Which of the equations are true?

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.

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Now that you have x² - 8x 16 = 9 16, apply the square root property to the equation.

Answers

The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

x² – 8x + 16 = 9 + 16

Then the equation can be written as

(x – 4)² = 25

x – 4 = ±5

x = 4 ± 5

x = -1, 9

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Which expression is equivalent to 2 (14x-37+28x+12.2-5y-17.5)?
A. 84x-16y-10.6
B. 28x-6y-10.6
C. 42x-8y-5.3
D 84x-16y-5.3

Answers

Answer:

A. 84x - 16y - 10.6

Explanation:

[tex]\sf \rightarrow 2(14x-3y+28x+12.2-5y-17.5)[/tex]

[tex]\sf \rightarrow 2 (42x-8y-5.3)[/tex]

apply distributive method: a(b + c) = ab + ac

[tex]\sf \rightarrow 2 (42x) -2(8y)-2(5.3)[/tex]

[tex]\sf \rightarrow 84x -16y-10.6[/tex]

I’ve been stuck in this for almost 20 minutes


help :/

Answers

Answer:

pi/2 units to the left

Step-by-step explanation:

the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left

You toss a coin and roll a number cube. Find P(heads and an even number.)

Answers

Answer:

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number)

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) × P(even number)

P(even number)Assuming a fair coin and a fair die:

P(even number)Assuming a fair coin and a fair die:P(head)

P(even number)Assuming a fair coin and a fair die:P(head) =50%

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number)

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number)

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%=25%

In a group of 20 pupils, 3 play the flute only.
6 play the piano only.
6 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?


Please answer in fractional form!!

Answers

Answer
5/20
0.25

Step 1
Add all pupils that play the listed instruments

6+6+3= 15

Step 2
Subtract 15 from total number of pupils

20-15= 5

Step 3
You now have a 5/20 chance of choosing a pupil that does not play a listed instrument.

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given information:

Total number of pupils = 203 pupils play the flute6 pupils play the piano only6 play both instruments

We can assume that 3 pupils play the flute only as we have also been told that 6 pupils play both instruments.

To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:

⇒ total number of pupils - pupils who play instruments

⇒ 20 - (3 + 6 + 6)

⇒ 20 - 15

⇒ 5

Therefore, 5 pupils do not play the piano and/or flute.

To calculate probability:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore:

[tex]\implies \textsf{Probability of a pupil playing neither instrument} = \dfrac{5}{20}=\dfrac{1}{4}[/tex]

Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?

Answers

A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.

What are Variables ?

Variables are generally alphabets that are used to denote the unknown values in any process or equation.

If Jack is x years old

Todd is y years old

Todd is 3 years older than his brother Jack.

a rule that relates their ages over time is given by

y = x+3

When Jack is 28 years old

Todd will be

y = 28+3

y = 31 years

Therefore Todd will be 31 years old.

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Hurry pleaeeeee show your work


117n + 90=

Answers

Answer:

n=-0.769

Step-by-step explanation:

Since there is no number after the equal sign in the equation given, we can put a zero in that place.

117n+90=0

Subtract 90 from both sides.

117n=-90

Divide 117 and -90

n=-0.769

Hope this helps!

If not, I am sorry.

In the figure below, if line r is parallel to line s, m

Answers

This statement is incomplete. I cannot answer that

Answer:

Step-by-step explanation:

I'm not sure exactly what you're trying to ask
but r and s are parallel
and I'm assuming the 3rd line is line m, line m is not parallel to any line
and angles A and B are equal

help me

A rectangle has a length of 10.3 centimeters and a width of 6.8 centimeters.

What is the area of this rectangle?


34.2 cm²

35.02 cm²

70.04 cm²

108.24 cm²

Answers

Answer:

70.04 cm²

Step-by-step explanation:

Area = base x height

10.3 x 6.8 = 70.04

Hope this helps :)

ATTACHED IS THE THE SOLUTION!!!

x(x+3)-2(-5x+1)x=x^2-3(4-2x)

Answers

The answer is no solution

Explanation:

it depends on how you interpret what's written. The way I initially interpreted it*, I was able to use the quadratic formula to find :

[tex]x=\frac{1}{4}-i\frac{\sqrt{455}}{20},\:x=\frac{1}{4}+i\frac{\sqrt{455}}{20}[/tex]

*I interpreted it as: [tex]x\left(x+3\right)-2\left(-5x+1\right)x=x^2-3\left(4-2x\right)[/tex]

but I don't want to say that this is your correct answer, because there are multiple interpretations (like a lot of interpretations)

{this is mostly in response to other answers}

Divide 140 in the ratio 2:5

Answers

Answer:

40 : 100

Step-by-step explanation:

→ Find the sum of the ratio

2 + 5= 7

→ Divide 140 by the answer

140 ÷ 7 = 20

→ Multiply each part of the ratio by 20

40 : 100

Dan went on a drive. He modeled the relationship between the distance he drives D (in kilometers) and the remaining fuel in his tank C (in liters) as C=40-0.1D. He wanted to graph the relationship for the entire distance of his drive, which was 100 kilometers. What mistakes did Dan make when drawing the graph?

Answers

Answer:

B

Step-by-step explanation:

the entire distance was 100 km, but the other 200 km on the x axis is unnecessary

Answer:

A

Step-by-step explanation:

khan acadamy

P(Ω)
P(A)
0.4
0.1
P(B)
0.2
0.3

Answers

Answer:

i dont even have the first one on my computer

Step-by-step explanation:

Find the percent of the area under the density curve where xxx is more than 333.

Answers

Answer:

25%

Step-by-step explanation:

Got it right on khan

Answer:

60%

Step-by-step explanation:

its right on khan

Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

[tex]\sqrt{4x-3}=5[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex](\sqrt{4x-3} )^{2} =5^{2}[/tex]

[tex]4x-3=25[/tex]

[tex]4x=25+3[/tex]

[tex]x=\frac{28}{4}[/tex]

[tex]x=7[/tex]

Hope this helps

f(x) = x+3 f ( x ) = x + 3​

Answers

Answer + Step-by-step explanation:

y = mx + b where m is the slope and b is the y-intercept

y = x + 3 where m = 1 is the slope and b = 3 is the y-intercept

Table of some points:

| x | 0 | 1 | 2 | 3 |

| y | 3 | 4 | 5 | 6 |

when x = 0, y = 0 + 3 and y = 3

when x = 1, y = 1 + 3 and y = 4

when x = 2, y = 2 + 3 and y = 5

Graph:

What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc

Answers

The measure of the central angle of a circle is 45⁰

What is Angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Here,

Theta (angle) θ = arc length / radius

θ = 15 π / 60 cm

θ =  0.79 radians

Convert to degrees

θ = 0.79 radians = 0.79 X 180/ π

                     = 0.79 X 180/ 3.14

                     = 45⁰

Thus, the measure of the central angle of a circle is 45⁰.

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ayuda porfaaa JHAKJAH es para hoy y no entiendo un klo

A) Hala los números que hagan verdadera la adición.

a) +2 + ? = 29


b) ? + (-13) = -17


c) -17 + ? = -38


d) ? + (25) = 13


e) ? + 12 = -2

B) Encuentra el resultado de las siguientes adiciones.

a) +5 + (-12) =


b) -10 + (-13) =


c) 20 + (-17) =


d) -80 + 10 =


e) 40 + (-60) =

vence hoy:(

Answers

A. +27
B. +4
C.+21

A. -16
B. 23
C. 3
D. -70
E. -20
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