If an exterior angle of a regular polygon is 21.2º, how many sides does the polygon have?

Answer:

x=+30

Step-by-step explanation:

1200-5(3x+30)=600

We move all terms to the left:

1200-5(3x+30)-(600)=0

We add all the numbers together, and all the variables

-5(3x+30)+600=0

We multiply parentheses

-15x-150+600=0

We add all the numbers together, and all the variables

-15x+450=0

We move all terms containing x to the left, all other terms to the right

-15x=-450

x=-450/-15

x=+30

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 30}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1200 - 5(3x + 30) = 600}[/tex]

Distribute 5 through the parentheses

[tex] \dashrightarrow{ \sf{1200 - 15x - 150 = 600}}[/tex]

Subtract the numbers: 150 from 1200

[tex] \dashrightarrow{ \sf{ - 15x + 1050 = 600}}[/tex]

Move 1050 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 15x = 600 - 1050}}[/tex]

Subtract 1050 from 600

[tex] \dashrightarrow{ \sf{ - 15x = 450}}[/tex]

Divide both sides of the equation by -15

[tex] \dashrightarrow{ \sf{ \frac{ - 15x}{ - 15} = \frac{ - 450}{ - 15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 30}}[/tex]

Hope I helped!

Best regards! :D

Answer:

(a) 8.4

(b) 56.49

(c) 6.5

Step-by-step explanation:

Question 1:

7 + 0.8 + 0.6

7.8 + 0.6

8.4

Question 2:

35.15 + 14.18 + 7.16

49.33 + 7.16

56.49

Question 3:

0.8 + 5 + 0.7

5.8 + 0.7

6.5

Answer:

8

Step-by-step explanation:

bc is write

Answer:

18

Step-by-step explanation:

The integral is the area between f(x) and the x-axis.  Remember that area below the x-axis is negative.

The area between x=0 and x=6 is a trapezoid.

The area between x=6 and x=9 is a rectangle.

The area between x=9 and x=15 is a triangle.

The area between x=15 and x=21 is a triangle.

The area between x=21 and x=27 is a trapezoid.

A = ½ (3+9) (6) + (3)(9) + ½ (6)(9) + ½ (6)(-9) + ½ (-9+-6) (6)

A = 36 + 27 + 27 − 27 − 45

A = 18

Answer:

Step-by-step explanation:

Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;

[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]

add 22 to both sides

[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]

[tex]{2x^{5/3} =486[/tex]

divide both sides by 2

[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]

raise both sides to the power of 3/5

[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]

Hence the value of x is 27

Answer:

B) -2

Step-by-step explanation:

[tex]\frac{25-(-15)}{-12-8} =\frac{40}{-20} =-2[/tex]

Answer:

A quadratic binomial is a second degree binomial, such as 3x2+2.

Answer:

Combining like terms

Step-by-step explanation:

Answer:

32 degrees is the missing angle

Step-by-step explanation:

I subtracted 40 and 112 from 180.

Answer:

40+112+x=180

x=180-152

=28 degree.

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller one.

(which agrees with answer B in your list)

Step-by-step explanation:

Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H

Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:

B x H  to -->  2 B x 2 H = 4 (B x H)

that is 4 times the original lateral face's area.

with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.

Answer:

c

Step-by-step explanation:

edge 2021

Cost of white shirt = 2.50 $

Cost of blue shirt = 1.50 $

We have asked to find percentage difference[tex].[/tex]

_________________________________

[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]

[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]

Answer:

47.53

Step-by-step explanation:

First you add all of the numbers together.

66.9+5.6+70.1=142.6

Then you divide the sum of numbers by how many number there are.

142.6/3=47.53

Answer:

Step-by-step explanation:

If the distance marked on a centimeter scale is from 2.5 to 4.5, then the final destination is 4.5cm and the initial point = 2.5.

Distance between the two points will give us the length of the line segment.

Distance between the two points = final point - initial point

Distance between the two points  = 4.5 - 2.5

Distance between the two points = 2.0 cm

Hence the line segment is 2.0cm long

Answer:

Kilimanjaro: Facts About Africa's Highest Peak Kilimanjaro is the highest mountain in Africa at 19,341 feet (5,895 meters), but it isn't a mountain in a traditional sense. ... Uhuru Peak is the highest summit on Kibo's crater rim. Uhuru, Swahili for "Freedom," was named in 1961 when Tanganyika gained its independence

Step-by-step explanation:

Answer:

The integer that represents 15 degrees below 0 is -15°F.

Step-by-step explanation:

This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.

The thermometer shows - 15°F  the temperature is 15 degrees below zero.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.

Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.

So, If we assume the thermometer as a number line it is 15 units left to the origin.

∴ (0 - 15)°F.

= - 15°F.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2021 EDGE

Answer:

C. .024

Step-by-step explanation:

You multiply 25 by 4 to get 100 and then you multiply 6 by 4 to get twenty four. After that you divide both numbers by one hundred and you get C

Step-by-step explanation:

On solving the inequality, we get the solution inequality as -

x > -1.

Given is the inequality -

9(x/3 + 1) > 6

The given inequality is -

9(x/3 + 1) > 6

(x/3 + 1) > (6/9)

(x/3 + 1) > 2/3

x/3 + 1 - 1 > 2/3 - 1

x/3 > (2 - 3)/3

x/3 > -1/3

x > -1

Therefore, on solving the inequality, we get the solution inequality as -

x > -1.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

-16

Step-by-step explanation:

Answer:

the answer is 2.16

Step-by-step explanation:

just use a calculator and it will tell you the answer

Answer:

the answer is B

Step-by-step explanation:

you have to divid 13 from 61 to get -8 and u have to times the 2 numbers and do - 8 x 2 = 16 and after that u take the 3 and it would have to turn into 50 and it would be cos bc you combining the numbers to make one whole number  and since it is negative you have to put that little circle thing i forgot the name I hope that help can u please mark my branily thing

40

There isnt a way the LCD can go lower, because 5 only counts by 5's and 5 and 8 meet at 40.

Answer:

least common denominator of 5 and and 8 is  40

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{x}{5} + 6y[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

10x - 15 + 4x + 4

14x - 11

Answer:

8n=55

Step-by-step explanation:

The product(multiplication) of 8 AND a number(meaning the multiplication of 8 and a number which is said to be n)  is(equal to) 55.

I hope I explained it well enough. lol

Answer:

B - the second answer .... 8n =55

Step-by-step explanation: