The size of each exterior angle of a regular polygon is 18 degrees
a) work out how many sides the polygon has
b) work out the sum of the interior angles of the polygon

Answers

Answer 1

Answer:

a, 20 side polygond b, the sum of the interior angles is 162°


Related Questions

find the first derivative of the following:
f(x)=e^{x³}​

Answers

[tex]answer = 3 {x}^{2} {e}^{ {x}^{3} } [/tex]

Answer:

[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]

Step-by-step explanation:

we would like to figure out the first derivative of the following:

[tex] \displaystyle f(x) = {e}^{x ^{3} } [/tex]

to do so take derivative In both sides:

[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{x ^{3} } [/tex]

to differentiate the above we can consider composite function derivation given by

[tex] \rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dx} f'(g(x)) \times \frac{d}{dx} g'(x)[/tex]

let

g(x)=u

so we obtain:

[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{u} \times \frac{d}{dx} u[/tex]

substitute back:

[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{ {x}^{3} } \times \frac{d}{dx} {x}^{3} [/tex]

by using derivation rule we acquire:

[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]

and we are done!

what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm

Answers

Answer:

If the area of a square = 4cm^2

then the side length of = √4 = 2 cm

What is the y-coordinate of the ordered pair that satisfies the system of linear equations?
6x+4y= -14
-x - 5y=11

A. 2
B. 1
C. -1
D. -2

Answers

Answer:

D

Step-by-step explanation:

the answer is d hope this helps

Find the slope of the line that contains the points named. G(3, -2), H(7, -2)

A. 0
B. -1
C. Undefined

Answers

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

can someone help please

Answers

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

PLEASE HELP ME: Click on the graph to choose the correct answer to the equation.


x - 2y < 0

(Choose one of the graphs from the image as the answer)

Answers

It's the third one I believe. y>1/2x

Pls help me it's urgent pls help me!

Answers

Answer:

x/7 - 2 = y

Step-by-step explanation:

To find the inverse of a function, we switch f(x) and x and then solve for f(x). We thus have

x = 7f(x) + 14

subtract 14 from both sides to isolate the f(x) and its coefficient

x - 14 = 7 f(x)

divide both sides by 7 to isolate the f(x)

(x-14)/7 = f(x)

f(x) is synonymous with y here. so we havt

(x-14)/7 = y

This can also be written as

x/7 - 14/7 = y

x/7 - 2 = y

SOMEBODY PLEASE HELP ME!

Answers

Answer:

[tex]43.7[/tex]

Step-by-step explanation:

Since the triangles are similar, the ratio of their corresponding sides is maintained. Therefore, we can up the following proportion to solve for [tex]OP[/tex]:

[tex]\frac{9}{7}=\frac{OP}{34},\\OP=\frac{34\cdot 9}{7}=43.7142857143\approx \boxed{43.7}[/tex]

43.7

Step-by-step explanation:

Since the two are similar triangles, the ratio of the legs of one triangle is equal to the ratio of the legs of the other triangle.

OP/ON = LM/LK

OP/34 = 9/7

Solving for OP,

OP = 34(9/7)

= 43.7

Please Help ASAP!! Due today!!

Answers

Answer:

-4 equals p=2 and a and R are at point Y downwards.

Lily bought a car for $13500. She paid for it in 36 equal monthly payments. Calculate the amount she paid each month.

Answers

Answer:

$375

Step-by-step explanation:

$13,500÷36=$375

Hope this helps! :)

Answer:

375

Step-by-step explanation:

13500 divided by 36

what is 24 - t, t = 9

Answers

answer:

15

step-by-step explanation:

equation: 24 - t

variable: t

replace the variable with the number that represents it (9) & subtract

24 - t = ?

24 - (9) = 15

hope this helped!

I need help with this I’m almost done

Answers

All you have to do is look at the graph.
5 gallons of gas is $8.80, let’s figure out how much one gallon is. 8.80/5=$1.76.
1.76•6=10.56 check
1.76•7=12.32 check
Now let’s figure out how much 10 gallons of gas cost.
1.76•10=17.6
10 gallons of gas costs $17.60

Simplify -5^2 + 8|-1| + (-3).

30
-36
-20
14

Answers

Answer:

-20

lmk if u need a step-by-step explaination id be glad to help you <3

Answer:

-20

Step-by-step explanation:

-5 ^ 2 is -25

|-1| is the same as 1

so this will be

-25 + 8 - 3

- 20

Determine the surface area of the shape below.

Answers

Try this option:

1. the required surface area consists of: A=A₁+A₂+A₃, where

2. A₁=pi*r*l - the surface of the cone:

pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);

A₁=3.14*2*6.33=39.74 (cm²).

3. A₂=a²-pi*r² - the surface of the top plane:

A₂=36-3.14*4=23.43 (cm²).

4. A₃=5*a² - the surface of the five planes of the given cube:

A₃=5*6²=180 (cm²).

5. the required area:

A=39.74+23.43+180=243.17 (cm²).

Answer: 243.17

please help!!!!!!!!!!!

Answers

Q(1,5) R(3,-1) S(0,0) T(-2,3)

Answer:

Q(1,5)

R(3,-1)

S(0,0)

T(-2,3)

Please give brainiest?

Please answer fully and explain

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

102=(1/3)πr²h

102×3÷π÷(4.96)²=h

h=3.96cm

Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these

Answers

Answer:

To solve this problem you must apply the procedure shown below:

1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.

2. Therefore, you have:

Sinα=opposite/hypotenuse

α=70°

opposite=x

hypotenuse=10

3. When you substitute the values, you obtain:

Sin(70°)=x/10

4. Now, solve for x, as following:

x=(10)(Sin(70°)

x=9.39 feet

Therefore, the answer is: 9.39 feet.

Step-by-step explanation:

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.

Answers

Answer:

0.167π

Step-by-step explanation:

r = 0.5

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]

someone please help me!!

Answers

Answer:

y= -3x+5

Step-by-step explanation:

It's kind of hard to see but I'm going to assume it looks like

y-2=(1/3)(x-1)

Let's start by converting this into slope-intercept form

y-2=x/3-1/3

y=x/3+2/3

One line is perpendicular to another line if their slopes are negative reciprocals of each other

our slope now is 1/3  which means its negative reciprocal is -3

so we have

y= -3x+b

Plug in the required coordiante to solve for b

2= -3(1)+b

2= -3+b

b= 5

put it together to get

-3x+5

Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21

Answers

The range for the data given is 11

The equation of a line is 5x + 10y = 15

Answers

Answer:

c

Step-by-step explanation:

I don't think I understand this one try graphs n diagram

I need help I put 30 points for whoever helps me

Answers

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.

To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.

Using (1, 0) from the table:

[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]

Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]

Math C Peasha - Unit 5 Pythagorean Theorem and Irrational Numbers
JIME REMAINING
1
2
3
6
18 | 10
28:42
Which irrational number can be added to to get a sum that is rational?
and

Answers

2 bc you can’t write it as a fraction

What is the length of DF?

Answers

Answer:

Step-by-step explanation:

Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.

Recall what you know about similarity. If circle B is similar to circle A, what must exist?

Answers

The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.

Given that:

Circles A and B

To prove the similarities of the two circles, the radius of both circles must be known.

Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].

The similarity of both circles is proved using:

[tex]r_A = k * r_B[/tex]

or

[tex]r_B = k * r_A[/tex]

where k represents the scale of dilation

Hence, the radius of both circles must exist for the circles to be similar.

Read more about circle similarities at:

https://brainly.com/question/403891

12 Here are two equations.
y = 5x - 9 and x + y = 7
a Use this graph to find an
approximate solution of
the equations.
b Use algebra to find exact
solutions of the equations,
Helpppp

Answers

Answer:x=8/3  ; y=13/3

Step-by-step explanation: to find the intersection point or the solution of the graph, you need to equate these equations  1) y=5x-9   2) x+y=7 =>  y=7-x x                                                                  equating the equations       5x-9=7-x  => 6x=16 => x=8/3  ; y=13/3  

x+y=80
5x+8y=535

what is x and what is y

Answers

Answer:

x+y=80 i.e. 5x+5y=400 multiplying both sides by 5

now 5x+8y=535

therefore 3y=535-400=135

therefore y=135/3=45

now x=80-y=80-45=35

therefore final answer x is 35 y is 45

Answer:

x=35, y=45

Step-by-step explanation:

x+y=80=>5x+5y=400 so (5x+8y)-(5x+5y)=535-400

<=>3y=135<=>y=45=>x=80-y=80-45=35

151°

116°

135°

139°

101°

136° 164°

What is the value of x? PLEASE HELP

Answers

the value of x is 130

please help me solve
please show how you got the answer

Answers

Answer:

Step-by-step explanation:

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6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…

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what is the estimate product of 345 and 34? [tex] \\ [/tex] ​

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How many parallelograms are in an octagonal prism?

Tn=2n-5 write down four term in a sequence

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Find the value of angle n

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Find the value of angle y

What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi

Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.

Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a

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what is lcm of 15 and 143​

Please Help Me!
Polygon DRMF is congruent to SLTO. Name two sets of congruent angles and two sets of congruent sides.

Answers

Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

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