Explain why the sum of the interior angles in a regular pentagon is 540?

Answers

Answer 1

Answer:

Step-by-step explanation:

formula to find the sum of interior angle of a regular pentagon is

(n-2)*180 degree

here n means no of sides .since pentagon has 5 sides replace it by 5

=(5-2)*180

=3*180

=540 degree


Related Questions

x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set​

Answers

Answer:

The graph is in the second attached image.

Step-by-step explanation:

In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:

x^3 + 3x^2 - 9x - 27

I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:

First derivative = 3x^2 + 6x - 9 (It's a parabola)

And at last, we have in green color the second derivative:

Second derivative = 6x + 6 (It's a line)

As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.

Please help solve this using L.C.M and explain the steps plz ty.

Answers

9514 1404 393

Answer:

  (x, y) = (2, 3)

Step-by-step explanation:

The first step is to find the least common multiple of the denominators of each of the equations. If the denominators have no common factors, a reasonable choice is their product. Here, it works to start with the fractions that must be added, then compare the LCM found to the denominator on the right to see if any further factors must be included.

First equation:

  LCM = 3×4 = 12

  12(2x/3 -y/4) = 12(7/12) . . . . . multiply the equation by 12

 8x -3y = 7 . . . . . . . . . simplify

Second equation:

  LCM = 4×5 =20

  20(3x/4 -2y/5) = 20(3/10) . . . . multiply equation by 20

  15x -8y = 6 . . . . . . simplify

Solve by elimination

We can eliminate the y-variable by subtracting 3 times the second equation from 8 times the first:

  8(8x -3y) -3(15x -8y) = 8(7) -3(6)

  19x = 38 . . . . . simplify

  x = 2 . . . . . . . divide by 19

Substituting into the first equation gives ...

  8(2) -3y = 7

  3y = 9 . . . . . . add 3y-7

  y = 3 . . . . . divide by 3

The solution is ...

  (x, y) = (2, 3)

_____

There are many ways to solve such a system of equations. Using the LCM to eliminate fractions is one way to start. You can also do the arithmetic with the fractions intact, though most folks don't care to. In addition to the elimination method used here, you can use matrix or graphical methods, substitution, or any of the variations of Cramer's Rule.

Help (PLATO)
its Algebra

Answers

Answer: The answer is D

Step-by-step explanation:

You add z to the other side then it will cancel out which then it would be (w+z)  and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x

Hopefully this helps

3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)​

Answers

Answer:

Step-by-step explanation:

9^2

=9*9

=81

15^2

=15*15

=225

(0.2)^2

=0.2 * 0.2

=0.04

(0.7)

=0.7

If the ratio of paintings to paintbrushes is 11:9, what percent of the items are paintbrushes. A.30% B. 35% C.40% D.45%

Answers

Answer:

D. 45%

Step-by-step explanation:

there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%

Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required

Answers

20 one team plays four other teams

Answer:

20 games are required to be play

Can someone help ASAP

Answers

The +2 goes on the Y-Axis… From
the 2 count up 3 times and go to the right 2 times

A restaurent pays a water R18 per hour in one week he worked a shift from 12h00 to 23h00 Calculate the number of hours the water works per shift​

Answers

Answer:

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Rs 198

Step-by-step explanation:

Given:

Amount pay per hour = Rs 18

Shift time = 12 h  to 23 h

Find;

Number of hour work per shift

Amount paid for one shift

Computation:

Number of hour work per shift = 23:00 - 12:00

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Number of hour work per shift x Amount pay per hour

Amount paid for one shift = 11 x 18

Amount paid for one shift = Rs 198

QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE

Answers

Answer:

V=πr2h /3

so we just substate and we get

V≈130.9

Answer: 130.83 units cubed

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]

We will use 3.14 for pi.

[tex]3.14r^2\frac{h}{3}[/tex]

Now let's sub in our variables and solve

[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]

5/6 is about .83

130.83

Find the measurement of the numbered angles

Answers

Answer:

m<1 = 60

m<2 = 30

m<3 = 80

Step-by-step explanation:

1. Solve for angle (1)

The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;

(30) + (m<1) + (90) = 180

Simplify,

120 + m<1 = 180

Inverse operations,

m<1 = 60

2. Solve for angle (2)

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,

m<2 = 30

Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.

3. Solve for angle (3)

As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.

(m<2) + (70) + (m<3) = 180

Susbtitute,

30 + 70 + (m<3) = 180

Simplify,

100 + m<3 = 180

Invers eoperations,

m<3 = 80

A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(N).

Answers

Answer:

P(N) = 5/14

Step-by-step explanation:

Find P(N) by finding the probability of getting a noisemaker.

There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:

15/42

Simplify:

5/14

So, P(N) = 5/14

Mathematical Literacy Assignment no 2021​

Answers

what’s the question ??

What is the perimeter of the trapezoid? In unit

Answers

Answer:

20 units

Step-by-step explanation:

the perimeter = 7+4+4+5 = 20 units

Which of the following is the point-slope form of the equation with slope 3 that goes through the point (4,2)?

Answers

Answer:

y–y1 =m (X–X1)

y–2=3(x–4)

y=3x–10

A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Answers

Answer:

Step-by-step explanation:

um yes..!

Which of the following represents the ratio of the given side to the
hypotenuse?

HELP if you’re good at GEOMETRY!!

Answers

C that’s the answer

In the figure below, which term best describes point R?

A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter

Answers

C should be right home

Orthocenter is the best term to describes point R in the triangle UVW.

What is orthocenter?

" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."

According to the given figure,

In triangle UVW,

Ray VR perpendicular to UW

Ray UR perpendicular to VW

Ray WR perpendicular to UV

Altitudes of side  ( UV , VW, and WU) of triangle UVW intersect at

point R.

As per the definition of orthocenter , point R represents orthocenter.

Hence, orthocenter is the best term to describes point R in the triangle UVW.

Learn more about orthocenter here

https://brainly.com/question/19763099

#SPJ2

Zahraa made 4 pitchers of lemonade. Each pitcher holds ⅓ gallon. How many gallons of lemonade did she make? WHATS THE ANSWER??

Answers

Answer:

12 gallons

Step-by-step explanation:

If each pitcher can hold only a third of one of her makings. Think about it. Just pour the glasses in your mind. She fills it up a little bit, and then keeps doing it until 12 are full. or how else to explain it or really explain it at all.

work out 8^1/3
^1/3 = power

Answers

Answer:

8/9 (decimal: 0.888889)

Answer:

[tex]2[/tex]

Two is the answer.

Step-by-step explanation:

simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers

Or .... cube root of 8 is two..

PLEASE MARK ME BRAINIEST

what is the derivative of y=(x^2√(1+x))/((1+x^2)^3/2))

Answers

Step-by-step explanation:

Maple calculator used.........................

Answer:

Step-by-step explanation:

[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]

[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]

[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]

[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]

[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]

[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]

Anyone know this? Please help

Answers

Answer:
C
Explanation
Because i said so

What is the solution to -2(8x - 4) < 2x + 5?

Answers

Answer:

See image below:)

Step-by-step explanation:

Alex was trying to determine how much money he owed the bank. Since his checking account has a balance of -155 dollars, he thinks that he can find the absolute value of -155 to determine that he owes the bank 155 dollars. Is Alex correct?

Answers

Answer:

Alex is correct.

Step-by-step explanation:

In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.

What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4

Answers

Answer:

its b

Step-by-step explanation:

the washington monument in washington d.c is 555 feet tall. If a tourist sees the monument with a viewing angle of 8, how far away, to the nearest foot, is she from the monument?

Answers

Answer:

3,964 ft

Step-by-step explanation:

555 / tan 8° = 555/0.14 = 3,964 ft

If 8 x - 4 = 6 - 3 x then x =

Answers

Answer:

x = 10/11

Step-by-step explanation:

Your welcome! :)

The answer is equals to 10/11 which is also the same as 0.9090 approximately it is 1

Need help ASAP!!!!!!

Answers

Answer:

I dont know for sure, but maybe try B

Step-by-step explanation:

Los principales accionistas de la empresa global zafiro S.A. están interesado en una empresa que representa una importante competencia. Entre los datos de la empresa tiene los siguientes: la planta opera a nivel que oscila entre 80 y 100% de su capacidad. Cuando su nivel de actividad es de 80% los costos variables de fabricación totalizan $180,000,000. A su nivel normal de 90% de la empresa utiliza 40,500 horas de mano de obra directa y tiene costos de fabricación totales de $371,500,000. Determina los costos de fabricación finos y variables al 80 y 100% de su capacidad

Answers

Answer:

Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:

80%:        Fijos  =  $169,000,000.00        Variables  =  $180,000,000.00

100%:        Fijos  =  $169,000,000.00        Variables  =  $225,000,000.00

Explicación:

 

Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.

En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%

Si al    80%    de actividad    ----------------    los CV son    $180,000,000.00

al    90%    de actividad        ----------------    los CV serán    x

x  =  [(90)(180,000,000.00)]/(80)  =  202,500,000.00

Los costos variables de fabricación al nivel de actividad de 90% son  $202,500,000.00

Si al    80%    de actividad    ----------------    los CV son    $180,000,000.00

al    100%    de actividad       ----------------    los CV serán    x

x  =  [(100)(180,000,000.00)]/(80)  =  225,000,000.00

Los costos variables de fabricación al nivel de actividad de 100% son  $225,000,000.00

Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:

CT  =  CV  +  CF             ⇒                CV  =  CT  -  CF          ⇒    

CV  =  371,500,000.00  -  202,500,000.00  =  169,000,000.00

Los costos fijos de fabricación son de $169,000,000.00

Conclusión:

Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:

80%:        Fijos  =  $169,000,000.00        Variables  =  $180,000,000.00

100%:        Fijos  =  $169,000,000.00        Variables  =  $225,000,000.00

Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour

Answers

Answer:

Step-by-step explanation:

yes

Find the Value of X (in this picture)​

Answers

9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

The two base angles in the isosceles obtuse triangle are equal, so are both 29°. The sum of these angles is 58°, which is the measure of the external acute angle at the upper left of the acute triangle.

The two base angles of the acute isosceles triangle are equal, so are both 58°. The angle marked x° has a measure that makes the sum of angles in that triangle be 180°.

  x° = 180° -2(58°)

  x° = 64°

Other Questions
Please help . Stuck Please help!! I'm in summer school and I can't fail Solve 5x + 14 = k for x. Wind is caused by ___. the earth's tilt the Coriolis effect temperature differences humidity NEED HELP! Will give brainliest!!! i need help answering this question on my homework, could anyone help? Which of the following describes hemophilia?O multiple-allele traitO dominant traitO sex-linked traitO codominant trait The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p. Can 4, 6, and 12 be the measure of the sides of a triangle?andCan 6, 15, and 20 be the measure of the sides of a triangle? Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (2), 3rd base (3), shortstop (S), left field (L), center field (C), and right field (R). a. Construct frequency and percent frequency distributions to summarize the data. Position Frequency Percent Frequency (to one decimal) Pitcher % Catcher % 1st base % 2nd base % 3rd base % Shortstop % Left field % Center field % Right field % b. What position provides the most Hall of Famers Analyze and describe which of the issues brought to light by the muckrakers you think was the most concerning and why. Where are producers located on the energy pyramid? Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches. In which patten the modern computer work ? HELP PLSSSSSSSSSSSSSSSSSSSSSS Function p represents the number of people in the library on a Monday as a function of hours since the library opened.Here is the graph of function p Why did European nations face financial challenges after World War I? Check all that apply. Solve for the value of X pleassee comment something about The Civil Rights Movement: 1954-1963 LAST ONE, ON A TIMER. Find the zeros of the function and write in a + bi form.-(x+1)^2-4=0