Find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of a equilateral triangle?

Answers

Answer 1

Answer:

(B)45°, 67.5°

Step-by-step explanation:

A regular polygon is a polygon in which all the sides are equal.

An Octagon is a polygon with 8 sides.

Since it is a Regular polygon, the following holds:

1.The Radii are equal

2. The angle Subtended by two radii are equal for all triangles in the octagon.

3. There are 8 Isosceles triangles in the octagon.

(a)Measures of angle formed by Two radii

From the centre of the octagon, there are 8 equal angles.

Sum of Angle at a point= 360°

Each Angle=360°÷ 8 = 45°

The measures of angle formed by two radii is 45°.

(b)a radius and a side of the polygon.

Since the triangles are Isosceles, the base angles at the side of the octagon are equal.

Let x be the angle made by a radius with a side.

From (a) above,

x+x+45°=180°(Sum of Angle in a Triangle)

2x=180-45°

2x=135°

x=135°÷2=67.5°

The angle between a radius and a side of the polygon is 67.5°.

Step-by-step explanation:


Related Questions

1 dollar + 4 quaters + 3 dimes x 3

Answers

Answer:

$6.90

Step-by-step explanation:

4 quaters = $1

$1 x 3= 3

3 dimes= 30 cents

3+3+.90= $6.90

she always adds 3 cups of fertilizer for every 8 cups of soil. She filled a large pot with 24 cups of soil for a ficus plant.
How many cups of fertilizer should Eliana add to the pot?

Answers

Answer:

9

Step-by-step explanation:

based on the info we have, calculate: 24 x 3 / 8

Answer: 9

When calculating a loan’s effective interest rate, if the nominal rate is 8.5%, what value of i do you plug into your equation? a. 8.5 b. 0.85 c. 0.085 d. 1.85

Answers

The value of interest rate should be 0.085.

We have given that the interest rate is 8.5% So we have given in percentage form but we use always decimal form of interest.

What is the decimal form of percentage?

To convert a percentage to a decimal, divide by 100.

So the decimal form of the 8.5% is calculated by

[tex]\frac{8.5}{100}=0.085[/tex]

Therefore the option c is correct.

Therefore we use the interest rate is 0.085.

To learn more about the interest rate visit:

https://brainly.com/question/25793394

Answer: C 0.085

Step-by-step explanation:

The square root of which of the following integers is between 7 and 8 ?

Answers

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If +20 represent 20m above sea level,then -20 represent?​

Answers

Answer:

-20 meters below sea level

Step-by-step explanation:

as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level

Francisco makes $10 per hour doing part-time work on Saturdays. He spends $5 on transportation to and from work. The equation y = 10x − 5 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.

Answers

Answer:

15 then 25 then 35 then 45

Step-by-step explanation:

10x2=20-5 is 15 same equation for the rest, 10x3 is 30-5=25,etc.

Hope this helped!

It is you know that you are going tjgfb by. H g. Ybgb go out and go. I want you guys out there in my car to do that and then I’ll start my own business I have no yo what’s up I don’t know how much you do I want to do it is that I want to do it is that I want to do it is that I want to do it is that I want to do it

Pls answer the question attached.
I WILL MARK U BRAINLIST

Answers

Answer:

The value of (8x^(3)-24x^(2)y^(2)+36x)-:6x is 4x^2/3 - 4xy^2 + 6

Step-by-step explanation:

Miles needs to create invitations for the party. He has 56 of an hour to make the invitations. It takes him 112 of an hour to make each card. How many invitations can Miles create?

Answers

Answer: 250

Step-by-step explanation:

HELP!! ASAP PLEASE!! BRAINLIEST BEING GIVEN!

Answers

Answer:

b

Step-by-step explanation:

the exponent has to be 7 for the first 2. and then the bigger decimal will be 7.2 so yeah

compound inequality problem: 3x-10<4(x-2)

Answers

Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 200 adults will attend. You are trying to raise 3800 and deciding how much to charger per adult and per child. List some possible combinations (round to the nearest hundredths place) ___per adult, 0$ per child 10 per adult, ___ per child ___per child, 5$per child

Answers

Answer:

Some of the possible combinations are;

1) $19 per adult, $0 per child

2) $10 peer adult, $9 per child

3) $14 peer adult, $5 per child

Step-by-step explanation:

The given information are;

The estimated number of adults to attend the fund raising dinner = 200 adults

The amount the fund raiser is trying to realize = 3800

Therefore, some of the possible combinations are;

1) 3800/200 = 19 per adult to give;

$19 per adult, $0 per child

2) Given that each adult is charged $10, we have;

Total amount from adults = $10 × 200 = $2000

The total amount to be raised from the children = The amount the fund raiser is to realize - (Total amount from adults)

∴ The total amount to be raised from the children = 3800 - 2000 = 1800

The total amount to be raised from the children = $1,800

If there are 200 children we have;

The amount charged per child = (The total amount to be raised from the children)/(The total number of children)

The amount charged per child = $1,800/200 = $9 per child

Therefore, we have;

$10 peer adult, $9 per child

3) If each of the 200 children are charged $5 each, we have;

The total amount to be raised from the children = $5 × 200 = $1,000

∴ The amount to be raised from adults = $3800 - $1000 = $2800

The amount to each adult is to be charged = $2800/200 = $14

Therefore, we have;

$14 peer adult, $5 per child.

Select the two values of x that are roots of this equation.

Answers

Answer:

B

C

Step-by-step explanation:

[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]

4x+1= 2x +7
How to solve this equation?​

Answers

Answer:

3

Step-by-step explanation:

4x +1 =2x +7

4x - 2x =7 - 1

2x =6

x=6 :2

x=3

Answer:

-2x to both sides

-1 to both sides

then you get 2x=6

divide each side by 2

x=3

tep-by-step explanation:

i dont know how to do this i will mark brainleist if you answer!

Answers

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

HELP QUICK PLEASE THIS IS FOR AN ASSIGNMENT

Answers

Answer:

17

Step-by-step explanation:

Put the expression below as a factor.
EX: 81 - y = 56, y = 81 + 56 = 137.

1. 5( n + 2 ) − 15 = 4 − ( 2n − 5 )
2. 3 ( 2y − 1 ) − 5 = −4y + 22

Answers

Answer:

n=2

y=3

I explained the answers to your questions in the photo sent

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 –8 –5 0 6.

Answers

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

What is section formula ?

Let point P(x,y) cuts line joining point  [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex]  in [tex]m_1:m_2[/tex] then coordinate of point P is equal to [tex](\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})[/tex]

Here given that point divides line segment from J to K into a ratio 5:1

So

[tex]m_1=5\\\\m_2=1[/tex]

Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1

We can calculated y coordinate by applying section formula as :

[tex]\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}[/tex]

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

To learn more about   section formula visit:https://brainly.com/question/26433769

Answer:

6

Step-by-step explanation:

edg 2022

Hey, Please help!!

1.Solve for r in the scientific formula d= r t

2.Solve for V in the scientific formula P V= n R T

3. Solve for x in the literal equation [tex]\frac{x}{2}[/tex]-g= a
4. Solve for h in the literal equation g [tex](h+\frac{3}{2} )[/tex]=11
5. Solve for n in the literal equation a(n-2)+5=b n

Answers

Step-by-step explanation:

1. d = rt

Divide t from both sides.

[tex]\frac{d}{t} = r[/tex]

2. PV = nRT

Divide P from both sides.

[tex]V = \frac{nRT}{P}[/tex]

3. [tex]\frac{x}{2} -g=a\\[/tex]

Add g to both sides.

[tex]\frac{x}{2}[/tex] = g + a

Now multiply by 2 on both sides.

x = 2(g + a)

(or, x = 2g + 2a)

4. g[tex](h+\frac{3}{2} ) = 11[/tex]

Divide g from both sides.

[tex]h + 1.5 = \frac{11}{g}[/tex]

Now subtract 1.5 from both sides.

h = [tex]\frac{11}{g} -1.5[/tex]

5. [tex]a(n-2)+5=bn\\[/tex]

n = [tex]\frac{2a-5}{a - b}[/tex]

z = b – ma , for a
Please help me I need this answer

Answers

Step-by-step explanation:

z = b - ma

z - b = ma

z - b / m = a

X + Y = -2
What is y

Answers

Answer:

X= -6. Y=4

Step-by-step explanation:

-6+4= -2

X + 2 would be Y if you switch them on the sides of the equil sign

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.

Please help me with this question.

Answers

The answer is:put the equation xa+yb=1 to the slope intercept form and find its slope and y-intercept.

Sample Answer: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

PLEASE ANSWER!!! :/
:) PLEASE

Answers

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

f(x)=-x2+8x-1 find f(3) show work

Answers

f(3)= -(3)^2+8(3)-1
=14

Let f(x)=3x^2−2x+1. What is the value of f(−4)?
−55
−49
41
57

Answers

Answer:

57

Step-by-step explanation:

[tex]f(x)=3x^2-2x+1;f(-4)[/tex]

Let [tex]x=-4[/tex]

[tex]3(-4)^2-2(-4)+1[/tex]

[tex]48-\left(-8\right)+1[/tex]

[tex]57[/tex]

~

Here is a triangular prism.

Answers

Answer:

Volume of the prism: 120cm^3

Step-by-step explanation:

volume of a prism = area of cross-section x length

so

volume of triangular prism = 4 (h) x 6 (b) divided by 2 x 10 (length)

6 x 4 = 24

24 / 2 = 12

12 x 10 = 120

Hope this helped!

- profparis

square root of 70 is
rational or iftationet

Answers

Answer:

Step-by-step explanation:

It's Irrational.

sqrt(70) = sqrt(2 * 5 * 7)

You can't pull anything out of the right to leave the number under the root sign = to 1. That means that since all three roots are irrational, the whole number is irrational, In fact it takes only 1 number other than 1 left under the root sign to make the result irrational.

√50 = √(5 * 5 * 2)

The 5's will produce one number outside the root sign -- five. That makes the result

5√2 The result is irrational because √2 is irrational

Mike bought an item online for $60 and he was charged a $3 shipping fee. What percent of the sale price was the shipping fee?

Answers

Answer:

5%

Step-by-step explanation:

Given the following question:

The item costs 60 dollars
The shipping costs was 3 dollars

What was the percent of 60 is 3?

To find the answer we divide the shipping fee by the cost and then multiply the answer by 100.

[tex]\frac{3}{60} =3\div60=0.05\times100=5[/tex]
[tex]=5[/tex]

3 dollars is "5 percent" of 60 dollars.

Hope this helps.

Each of the 5 boys ate 2/3 of a pizza. What is the total amount of pizza the boys ate?
A
4 1/3 pizzas
B
4 pizzas
C
3 1/3 pizzas
D
3 pizzas

Answers

They ate 3 and 1/3 amount of pizza. So ur answer is C!!

Hope this helps have a good day

Just answer 15 please.

Answers

Answer:

He needs to sell 12 to get exactly $30 but he needs to sell at least 13 if he wants to earn more than $30

Answer:

13 or more magazines.

[tex]30 / 2.5 = 12[/tex]

[tex]12 * 2.5 = 30[/tex]

In that case, anything equal to or greater than 13 is correct.

Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?

Options:
A)x=3/2

B)x=2

C)x=5/2

D)x=4

Answers

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

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