Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.

Answers

Answer 1
The formula to find the Length of the arc = (2r) (θ / 360°)
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.

Hope this helps

Related Questions

Using the net below, find the surface area
of the triangular prism.
4 cm
3 cm
6 cm
4 cm
6 cm
3 cm
5 cm
4 cm
Surface Area = [?] cm2

Answers

The surface area is all the sides areas added up

The area of the triangle is 1/2bh or 1/2(4)(3)
= 6
The area if the middle rectangle is bh or (3)(6)
= 18
The area of the other rectangle is bh or (5)(6)
= 30

6+6+18+30+30=90cm^2

Hope this helps :)

Alfred, an electrician, charges a $65
service fee plus $33 an hour. If it takes 2.4 hours
for Alfred to install a chandelier at a customer's
house, how much should he charge?

Answers

Answer:

$144.20

Step-by-step explanation:

2.4(33) + 65

79.2 + 65

144.2

$144.20

Quotient for 7.924/0.7

Answers

Answer:

11.32

Step-by-step explanation:

HURRY AND TY !!!!!!!! ​

Answers

Answer:

17

Step-by-step explanation:

5 ft 3 inches = 63 inches

3 ft 10 inches = 46 inches

63-14 = 17 inches

Answer:

17 inches

1 foot 5 inches

Step-by-step explanation:

1 foot = 12 imches

First we multiply :)

5 x 12 = 60

3 x 12 = 36

Now we add on the already there inches :)

60 + 3 = 63

36 + 10 = 46

Finally we subtract :)

63 - 46 = 17

17/12 = 1 foot 5 inches :)

Have an amazing day!!

Please rate and mark brainliest!!

factorise:-
(a+b)³ - (a-b)³​

Answers

[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)

Based on your value of x in question #1, what is the value for ∠EHF
1) 132 degrees
2) 96 degrees
3) 180 degrees
4) 90 degrees

Answers

Answer:

∠EHF = 132°

Step-by-step explanation:

Both angles lie on a straight line.

=====================

∠EHF + ∠FHG = 180°2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°

Then ∠EHF :

2(x)2(66)132°

Angles are supplementary hence their sum is 180°

So

2x+48=1802x=180-482x=132x=66

So

<EHF=2(66)=132°

how to simplify 8 + ( -6 ) + 4

Answers

Answer:

6

Step-by-step explanation:

8+4=12

12-6=6

it takes 3 eggs to make two dozen cookies. About what fraction of an egg are in two cookies

Answers

keeping in mind that two dozen cookies is just 24 cookies, then

[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]

Resolve into factors. ​

Answers

Answer:

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

Step-by-step explanation:

Given equation = a² + 2ab + b² + a + b

Let's factorise,

We know that,

[tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Substituting the above factor in given equation,

[tex] {a}^{2} + 2ab + {b}^{2} + a + b = {(a + b)}^{2} + a + b \\ Taking \: (a+b) \: common \: in \: RHS \\ {a}^{2} + 2ab + {b}^{2} + a + b = (a + b)(a + b + 1) \\[/tex]

[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]

Thanks for joining brainly community!

(A+B)^2 +A+B = A+B) x (A+B+1) final solution

WRITE INEQUALITY AND SOLVE Sarah has $325. She spends $10 a week on gas.
If she wants to have at least $150 left, how many
weeks can she buy gas?

Answers

17 weeks and she'll have $5 extra.

Where do you get the 2/5 and 3/5 from

Answers

Answer:

we can get 3/2 as the answer


2 Find the area of each trapezoid.


Answers

Answer:

You're missing an attachment :)

If you want an answer, I suggest you upload a picture, or provide more information, thank you.

Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100

Answers

The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

Pythaogram theorem

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 10ft

Other sides are x and (x+2)ft

According to the theorem:

10^2 = x^2 + (x+2)^2

x^2 + (x+2)^2 = 100

Expand

x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0

Divide through by 2

0.5x^2 +x - 24 = 0
0.5x(x+2) = 24

Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544

Does someone understand this?

Answers

For part A the answer will be the second one because when you add them it becomes up to equal 180 which is the amount of degrees a triangle measures!

is 1 2/6 irrational or rational?

Answers

I am pretty sure it is rational but if not sorry

Question is in the picture below, please help.

Answers

Answer:

A)6 cm B)32 inch

Step-by-step explanation:

A)1 cm:8 inch

(1×6)cm:(8×6)inch

Thus, if the height is 48 inch, the scale in cm is 6 cm

B)Normal linear form

The length=4cm

(1×4) cm:(8×4) inch

Thus, if the scale length is 4 cm, the real painting length will be 32 inch

PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!

Answers

Answer:

b

Step-by-step explanation:

What is the quotient of the division below? 96 divided by 3 = 13 23 31 32

Answers

Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

PLEASE SOLVE THIS I NEED IT I GOTTA GO TO SCHOOL AT MONDAY I NEED IT ​ILL GIVE BRAINLIES

Answers

Answer:

In order to make a triangle, the sum of 2 sides must be greater than the third side

in number one 2+3=5 so no you can't make a triangle

you can do it likewise ...

Is –6 − 65 positive or negative?

Answers

Answer:

It is negative.

Step-by-step explanation:

-6 - 65 is -71

Hope that helps!

Answer:

negative

Step-by-step explanation:

The equation -6 - 65 equals -71 because 65 is a positive number and -6 is not which means it must keep going negative because a negative plus a positive goes negative.

What is 2 7/10+4 1/10 in simplest form

Answers

Answer:

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]

Solve for x in the triangle. Round your answer to the nearest tenth. (Please help)

Answers

Answer:

x = 6.5

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adjacent side / hypotenuse

cos 23 = 6/x

x cos 23 / 6

x = 6 /cos 23

x=6.51816

Rounding to the nearest tenth

x = 6.5

!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!

Answers

Answer:

1.77

Step-by-step explanation:

.................

what is the degree of the expression 5x²+y+10​

Answers

Answer:

2

Step-by-step explanation:

What 2x4
Beacuse I need help on how to soulf it

Answers

Answer:

Its 8

Step-by-step explanation:

expand and simplify \5 (\10 +\2) ?

someone said the answer was 60, so i tried it and it didn’t work. can anyone help please?

Answers

Answer:

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]

[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]

An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:

1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.

2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.

The first part...

[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]

[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]    

[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]

[tex]\sqrt{25} = 5 < --Solve[/tex]

[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]

[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]

The second part...

[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]

[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]

Combine both parts...

[tex]5\sqrt{2} +\sqrt{10}[/tex]

I need help with this, question is in image. ​

Answers

Answer:

-75 ft

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

-75

Step-by-step explanation:

hope this helped.

No explanation really is there to it.

Have a great day! :)

i need help finding our the perimeter

Answers

Answer:

11x + 10y - 2w

Step-by-step explanation:

Hello!

To solve for the perimeter, we add up the like terms.

What are like terms?

Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.

4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.

Solve for Perimeter:

Combine the like terms by adding them up.

Perimeter = (8x - 4w) + (3y + 2w) + (3x + 7y)P = 8x - 4w + 3y + 2w + 3x + 7yP = 8x + 3x + 3y + 7y - 4w + 2wP = 11x + 10y - 2w

The perimeter is 11x + 10y - 2w

I need help

Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.

Answers

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Help, question is in image. ​

Answers

Answer:

-31

Step-by-step explanation:

substitute- y-8b = -7-8(3)

8(3)=24

-7- -24=

solve- -31

Answer:

-31

Step-by-step explanation:

Given

binomial: y - 8b

y = - 7

b = 3

Solution

-7 - 8(3)       Substitute 3 in for b and - 7 in for y

-7 - 24         Combine -8 and 3 (which is - 24

-31               Answer. - 31

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