Work out the size of one interior angle of a regular 10 sided shape (decagon)

Answers

Answer 1

9514 1404 393

Answer:

  144°

Step-by-step explanation:

The interior angle of a polygon is the supplement of the exterior angle at that vertex. The sum of exterior angles of a convex polygon is always 360°.

The exterior angle at each vertex of a regular decagon will be 360°/10 = 36°. Then the interior angle is ...

  180° -36° = 144° . . . . measure of regular decagon interior angle

_____

Interior angle A of an n-sided polygon has the measure ...

  A = 180° -360°/n = 180°(n -2)/n


Related Questions

Se uma pessoa comprar um aparelho eletrônico em 5 prestações mensais de 304,00 quanto pagará por esse aparelho ?

Answers

Answer:

1520

Step-by-step explanation:

Pela pergunta acima, sabemos que:

1 parcela mensal = 304

5 parcelas mensais = x

Multiplicação cruzada

x = 5 prestações mensais × 304/1 prestações mensais

= 1520

Portanto, o valor que ele pagou pelo dispositivo é 1520

A bag contains nine red balls, four green balls, and fifteen yellow balls. What is the probability of pulling out one red ball?

Answers

Answer:

9/28

Step-by-step explanation:

9+4+15=28 total balls

9= total red balls

total red balls/total balls= probability of pulling out one red ball

9/28

(Can I have brainliest?)

Find the volume of the cylinder.

A. 19.625 cm3^
B. 50 cm3^
C. 157 cm3^
D. 628 cm3^

Answers

divide the radius by pi then times them

Consider the data set.

1,3,6,31,11,10,6,9,12
Which statement describes a way to find the median of the data set?

Answers

Answer:

Median: 9

1 3 6 6 9 10 11 12 31

Step-by-step explanation:

To find the median, you have to organize your terms from least to greatest. And then find the center of your terms, which would be 9.

Y=3x-7 Y=3x+4 solving the special system of liner equations ?

Answers

Answer:

No Solution.

Step-by-step explanation:

y=3x-7

y=3x+4

-----------

3x-7=3x+4

3x-3x-7=4

-7=4

no solution.

HELP PLEASE!!!!! IM DESPERATE!

Answers

Answer: A

Step-by-step explanation:

I did the math on paper, it's A. I'm so sorry if it's wrong but I'm pretty positive.

Answer:

it's a because I worked it out

roman numbers*


XCIX = LV _ XXXIII

XI


i need to know what signs go where is it "+ +" or "- +"

or "+ -" or "- +" ???

Answers

Answer:

The sign that go in the expression is - "+ +"

Step-by-step explanation:

Given - XCIX = LV _ XXXIII  _ XI

To find - i need to know what signs go where is it "+ +" or "- +"  or "+ -" or "- +" ???

Proof -

We know that from the table that,

XCIX = 99

LV = 55

XXXIII  = 33

XI = 11

So,

The equation becomes

99 = 55 _ 33 _ 11

Now,

If we put + + then the equation becomes

99 = 55 + 33 + 11

⇒99 = 99

It satisfies.

Now,

If we put - + then the equation becomes

99 = 55 - 33 + 11

⇒99 = 33

It does not satisfies.

Now,

If we put + - then the equation becomes

99 = 55 + 33 - 11

⇒99 = 77

It does not satisfies.

So,

The sign that go in the expression is - "+ +"

The correct mathematical signs are "++" to have XCIX = LV + XXXIII  + XI

This is the application of Roman Numerals.

Given the expression XCIX = LV _ XXXIII _XI

We need to know which of the signs will fit in the space provided in the equation.

First, we need to convert the roman numeral to roman figures as shown:

XCIX = 99

LV = 55

XXXIII = 33

XI = 11

Taking the sum of the right-hand side of the equation;

55 + 33 + 11 = 99

This shows that the correct mathematical signs are "++" to have

XCIX = LV + XXXIII  + XI

Learn more here: https://brainly.com/question/25576958

Please help, it'll be appreciated and if possible, I'll give brainliest

ABCD is a parallelogram with diagonals AC and BD intersecting at O

Prove that the diagonals bisect one another​

Answers

Step-by-step explanation:

See the attached image.  I numbered angles differently so as not to make an assumption that angles numbered the same are congruent.

[tex]\overline{AB} \parallel \overline{CD}\\\angle1 \cong \angle3[/tex] (alternate interior angles are congruent)

[tex]\overline{AD} \parallel \overline{BC}\\\angle 2 \cong \angle 4[/tex] (alternate interior angles are congruent)

[tex]\overline{AB} \cong \overline{CD}[/tex]  (opposite sides of a parallelogram are congruent)

[tex]\triangle{ABO \cong \triangle{CDO}[/tex]  (ASA - side/angle/side)

[tex]\overline{AO} \cong \overline{CO}\\\overline{BO} \cong \overline{DO}[/tex]  (corresponding parts of congruent triangles are congruent)

The diagonals bisect each other!

Need some dam help with math

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you do flvs?

A rectangular prism shaped produce drawer in a refrigerator is 8 inches tall. The perimeter of the bottom of the drawer is 48 inches. The length of the bottom of the drawer is 4 inches longer than the width

Answers

Question: A rectangular prism shaped produce drawer in a refrigerator is 8 inches tall. The perimeter of the bottom of the drawer is 48 inches. The length of the bottom of the drawer is 4 inches longer than the width. Find the volume of rectangular prism shape.

Answer:

1120 cubic inch

Step-by-step explanation:

Applying

V = Ah................... Equation 1

Where v = volume, A = Area of the base, h = height.

Note: The prism has a rectangular base,

Therefore,

A = l×w

A = lw................... Equation 2

Where l = lenght of the rectangle, w = width of the rectangle.

Substitute Equation 2 into equation 1

V = lwh................. Equation 3

Also

P = 2(l+w).................. Equation 4

From the question,

l = w+4 (the length of the bottom of the drawer is 4 inches longer than the width), P = 48 inches.

Substitute these values into equation 4

48 = 2(w+4+w)

2(w+4+w) = 48

(w+4+w) = 48/2

(w+4+w)  = 24

2w+4 = 24

2w = 24-4

2w = 20

w = 20/2

w = 10 inches, l = 10+4 = 14 inches.

Also given: h = 8 inches.

Substitute these values into equation 3

V = 10×14×8

V = 1120 cubic inch

The perimeter of a rectangular feild is 60 ft and it’s width is 20ft find the area of this feild

Answers

give brainliest for this pls

A=200ft²

Answer:

200ft?

Step-by-step explanation:

3x-4x^2 +6+7x^3 in standard form​

Answers

Step-by-step explanation:

7x^3 -4x^2 + 3x + 6

I hope it's helpful

HELP PLLLLLSSSDDSSSSSS

Answers

Answer:

the answer is a.

Step-by-step explanation:

i hope this helps :)

Which of the following expressions does not represent “half of three times a quantity b”?
A. 2/3b
B. 0.5(3b)
C. 3/2b
D. 1.5b

Answers

A does not represent half of three times a quantity b

2/3b

What is the area of the shower floor ?

Answers

c.42 square feet

good luck!!

What is 4/5 divided by 2/25 - 5/16?

(Please show your steps.)

Answers

you do division first
when u divide fractions, u flip the second fraction around and multiply
4/5 divide by 2/25
= 4/5 x 25/2
= 100/10
reduced is 10/1, or a mixed fraction would be just 10
then subtract
10/1 - 5/16
= 9 11/16

12
14
(hyp)2 = (leg)2 + (leg)
1) Which side is the hypotenuse?
2) Fill-in the Pyth. Thm. Equation:
1
1)2 = (14) ²+ (
) 2
3) Solve for c. Round to the nearest tenth.
C =

Answers

Answer:

Step-by-step explanation:

12

14

(hyp)2 = (leg)2 + (leg)

1) Which side is the hypotenuse?

2) Fill-in the Pyth. Thm. Equation:

1

1)2 = (14) ²+ (

) 2

3) Solve for c. Round to the nearest tenth.

C =

5. Anthony owns a business that sells parts for electronic game systems. The profit for his business can be
modeled by the equation P = -0.2x2 + 10x – 25, where x is the quantity sold, in thousands, and P is the
profit in thousands
a) What is the maximum profit Anthony will receive
b) How many parts would he need to sell to receive the maximum profit?

Answers

Solution given:

p(x)=0

-0.2x2 + 10x – 25=0

-0.2(x²-50x+125)=0

x²-2.25.x+25²=25²-125

(x-25)²=500

x-25=[tex] \sqrt{500} [/tex]

x-25=±10√5

taking positive

x=22.3606+25

x=47.3606

taking negative

x= -22.3606+25

x=2.639

so

maximum profit Anthony will receive :47.3606*1000= 47360600(approach)

now

47360 .6 or 2639 parts he would need to sell to receive the maximum profit

Find Area in (Ft^2) help needed asap marking brainliest

Answers

Answer:

168

Step-by-step explanation:

I do believe

Complete the square
to find the vertex
of this parabola.
2.
х
- 16 Y-4 x-12=0

Answers

Answer:

Vertex coordinates; (h,k) = (2, -1)

Step-by-step explanation:

Vertex form of a parabola is;

y = a(x - h)² + k

Now, we are given;

x² - 16y - 4x - 12 = 0

Rearranging, we have;

x² - 4x = 16y + 12

Let's complete the square on the left hand side;

First add square of half of the coefficient of x to both sides;

x² - 4x + (-½ × 4)² = 16y + 12 + (-½ × 4)²

x² - 4x + 4 = 16y + 12 + 4

LHS can be expressed as;

(x - 2)² = 16y + 16

16y = (x - 2)² - 16

Divide both sides by 16 to get;

y = (1/16)(x - 2)² - 1

Comparing this with y = a(x - h)² + k, we have;

a = 1/16

h = 2

k = -1

(h,k) = (2, -1)

can anyone help with this plzzz!!!!!!!!!!!!!!!!!!

Answers

Answer:

?

Step-by-step explanation:

?

The rectangular pyramid below has a volume of 200 m3. What is the height of the rectangular pyramid in meters? If the base is 6 by 5 meters

Answers

Answer:

6.67meters

Step-by-step explanation:

The formula for the volume of a rectangular pyramid = Length × Width × Height

From the question

Volume = 200m³

Base of the pyramid = Length × Width = 6m by 5m = 6m × 5m

To find the height of the pyramid = Volume/Length × Width

Height = 200m³/ 6m × 5m

Height = 6.67m

Height of the rectangular pyramid in meters = 6.67 m

For the graph of x > 10, the boundary line
is the vertical line x = 10. Would you
shade to the left or right of the boundary?
Explain.

Answers

Answer:

to the right

Step-by-step explanation:

you're looking for values over 10 to make the inequality true, meaning the numbers has to go larger, you'd draw the line vertically at 10, then shade to the right.

What is the value of the 6 in the number 1,265,432

Answers

Answer:

The ten thousandth number (or 60,000)

Step-by-step explanation:

By removing everything from the left of the 6, you get 60,000. This is 6x10,000

Find the maximum/minimum value of the function. h(x)=-4x^2-4x+24

Answers

Answer:

The maximum value of h is -1/2

Step-by-step explanation:

Since a is negative, the parabola opens downwards. Therefore, we look for the maximum value of h. We can find this by finding the x-coordinate of the vertex which is x=-b/2a=-(-4)/2(-4)=4/-8=-1/2

Therefore, the maximum value of h is -1/2

One member from a book club is randomly selected. There is a 40% chance the member is male, and there is a 15% chance that the member is male and finished reading the last book. What is the probability that the member did not finish reading the last book, given that the member is male?

Answers

Answer:

18%

Step-by-step explanation:

Given that

40% would be the chances the member is male

And, 15% chance that the member is male and finished the reading of the last book

We need to find out the probability

Let us assume the probability of reading the last book be P(R)

The probability that the member is a male, P(M) = 0.4

The probability that the member is male and finished reading the last book, P(M ∩ R) = 0.15

Now

P(M ∩ not R) = 0.40 - 0.15

= 0.25

P(not R | M) = P(M ∩ not R) ÷ P(M)

P(not R | M) = 0.18

= 18%

Please help I’ll make you the brainiest

Answers

Answer:

B

Step-by-step explanation:

7-3=4

4x4=16

Help and explanation if you don’t know don’t answer

Answers

Answer:

A is false  (Y is far left of 0, so it is a negative. H is close to 0 so it is positive. Y is farther from zero, so it is bigger. For example, Y could be -7, and H could be 3. The sum of -7 and 3, would be -5.

B is false (E is on the left of 0 so it is negative. Y is on the left of zero so it is also negative. Negative divided by a negative is a positive )

C is false  (H is positive and E is negative. Positive times a negative equals a negative.)

D is true (A is close to zero, so it is a small positive number. H is farther from zero, so it is a larger positive number. For example, A can be 2 and H can be 5. So, 3 - 5 would equal a negative.)

Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I, spent on in-state tuition and the amount, O, spent on out-of-state tuition for a randomly selected student both follow a Normal distribution.

The mean and standard deviation of the sum S = I + O of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348.75 and σS = $1,508.48.

Use the z-table to answer the question.

What is the probability that the sum of a randomly selected pair of in- and out-of-state students has a tuition charge of more than $8,000?
0.0009
0.1368
0.8632
0.9991

Answers

Answer:

The correct answer is 0.1368

Step-by-step explanation:

Got it right on Edge assignment

The following two-way table shows the data for the students of two different grades in a school: Member of Science Club Not Member of Science Club Total Grade 7 20 2 22 Grade 8 20 8 28 Total 40 10 50 Based on the relative row frequency, the students of which grade are more likely to be members of the science club? (5 points) Grade 7 Grade 8 The students of both grades are equally likely to be members of the science club No conclusion can be drawn about the chances of a student being a member of the science club

Answers

Answer:

Grade 7

Step-by-step explanation:

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