The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.

Answers

Answer 1

Answer:

1.89 radians  or 108 degrees.

Step-by-step explanation:

Circumference of the circle = 10 * 3.142

= 31.42.

So 31.42 is equivalent to 2 pi radians, so:

Angle subtended at the center

= (9.42 / 31.42) * 2 pi

=  (9.42 / 31.42) * 2 * 3.142

= 1.89 radians  or 108 degrees..


Related Questions

Which equation could Sameer use to solve for the value of n if n + 13 = 17?

Answers

Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0

Answers

Answer:

C) x2 + 8x – 65 = 0

Step-by-step explanation:

just took it :)

Answer:

c

Step-by-step explanation:

Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x

Answers

Answer:

The given function is

[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]

On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]

The image shows the graph of this function, there you can observe its domain and range set definitions.

V2 is equal to + 2 a s derive

Answers

Answer:v² =u²+2aaS​

                                                                                                                                 

HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST

Answers

Answer:

The answer is D

Step-by-step explanation:

Unit 6. 2) Please help. What is the probability that a student is absent given that today is Monday?

Enter your answer as a fraction in simplest form, formatted like this: 3/14

Answers

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

What is the volume of a sphere with a radius of 41 in, rounded to the nearest tenth of a cubic inch?

Answers

Volume = 288695.6 in³

Step-by-step explanation:

Volume of a sphere is given by

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius of the sphere

From the question

radius = 41 in

Substitute the value into the above formula

We have

[tex]V = \frac{4}{3} \times {41}^{3} \pi[/tex]

[tex] = \frac{275684}{3} \pi[/tex]

= 288695.6097

We have the final answer as

Volume = 288695.6 in³ to the nearest tenth

Hope this helps you

The answer on deltamath is

288695.6 in³

You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel?

Answers

Answer:

2 m/s=90 meters/45 seconds

A square unit that is 1 unit wide and 1 unit long is a?

Answers

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

Four students spoke to the Home and School parents for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?

Answers

creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :)      espero que te aya adudado auque sea un poquito

Which equation is true for x = –6 and x = 2?

2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answers

Answer:

2x2 + 8x – 24 = 0

Step-by-step explanation:

[tex]2 {x}^{2} + 8x - 24 = 0 \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = - 6) \\ 2 {( - 6)}^{2} + 8( - 6) - 24 \\ = 72 - 48 - 24 \\ 72 - 72 \\ = 0 \\ = rhs \\ \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = 2) \\ 2 {( 2)}^{2} + 8( 2) - 24 \\ = 8 + 16 - 24 \\ 24 - 24 \\ = 0 \\ = rhs \\ [/tex]

It’s will be 2x2 + 8x - 24 = 0 !!!

It takes my father 3 hours to plow our cornfield with his new tractor. Using the old tractor it takes me 5 hours. If we both plow for one hour before I go to school, how long will it take him to finish the plowing?

Answers

It takes my Father 3 hours to plow the our cornfield with his new tractor.

Using the old tractor it takes me 5 hours.

If we both plow for 1 hour before I go to school,how long will it take him to finish

:

let t = time Dad plows after he goes to school

:

Let the completed job = 1; (a plowed field)

:

A shared work equation

%28%28t%2B1%29%29%2F3 + 1%2F5 = 1

Multiply by 15, results

5(t+1) + 3 = 15

5t + 5 + 3 = 15

5t = 15 - 8

t = 7%2F5

ANSWER

t = 1.4 hrs or 1 + .4(60) = 1 hr 24 more minutes to finish

hope this helps :)

Simplify
[tex] \sqrt[4]{ {5}^{4} } [/tex]
4
5
25
625​

Answers

Answer:

5

Step-by-step explanation:

[tex] \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5[/tex]

Answer:

5

Step-by-step explanation:

Calculate (full working out)
5.16 x 2.93 =

Answers

The answer is 15.1188

100 PTS:Please help me now plz plz I promise I will mark you brainliest

Answers

Answer:

[tex] \cos \beta = \dfrac{8}{17} [/tex]

Step-by-step explanation:

[tex] \cos A = \dfrac{adj}{hyp} [/tex]

For angle beta, adj = BC = 8, and hyp = AB = 17

[tex] \cos \beta = \dfrac{adj}{hyp} [/tex]

[tex] \cos \beta = \dfrac{BC}{AB} [/tex]

[tex] \cos \beta = \dfrac{8}{17} [/tex]

Answer:

Cos B = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos B = adjacent/ hypotenuse

Cos B = 8/17

How many servings of
cups are in 5 cups of ice cream?​

Answers

Answer:

5

Step-by-step explanation:

How to use Cosine to calculate the side of a right triangle?

Answers

Answer:

Cosine is Adj/Hyp

a simple trick i use when doing these kind of problems is first finding the sides. If you only know the Hypotenuse then you multiply that with the cos(x) or whatever angle it is. If you only know Adjacent then you divide the adjacent with the Cos(x) and you get the answer

Step-by-step explanation:

The angle of depression from a roof of a building to a car is 75°. If the roof is 12 m above
the level of the car, then the distance of the car from the building is closest to:
(A) 3.11 m
(B) 3.22 m
(C) 11.59 m
(D) 12.42 m

Answers

I think the answer is (C) I’m sorry if I am wrong.

2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much

Answers

See the attached picture:

x
[tex] {x}^{2} - 12x + 36 = 0[/tex]​

Answers

My answer for x is 6
i got 6 hope it’s right

But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?

Answers

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

the company shows that its median listing is $150,000. if the range of the listings is $50,000, is it possible for the company to have a house listed for $200,000?

Answers

Answer:

no

Step-by-step explanation:

HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Select all of the following expressions that require use of the distributive property to simplify.
√5(-√2)
√5(√7-√2)
(√5+√2)(-√7)
(3√5)(-7√2)

Answers

Answer:

√5(√7-√2)

(√5+√2)(-√7)

Step-by-step explanation:

The Distributive Property:

a ( b + c ) = ab + ac

Where a, b and c are any real numbers.

The given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Distributive property

Given the integers A, B, and C. According to the distributive property;

A(B + C) = AB + AC

From the expression, you can see that A is distributed over B and C

So for distributive property, there must be a factor and the sum of terms in parenthesis. Based on the given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Learn more on distributive property here: https://brainly.com/question/4077386

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

(X+8)(x-10

Step-by-step explanation:

The middle number is -2 and the last number is -80.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -2

Multiply together to get -80Try 8 and -10:

8+-10 = -2

8*-10 = -80

Fill in the blanks in

(x+_)(x+_)

with 8 and -10 to get...

(x+8)(x-10)

-3(x + 4) = 6(-x - 1)

Answers

Answer: x = 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-3(x+4)=6(-x-1)

1. Distribute

-3x+(-12)=-6x-6

-3x-12=-6x-6

3x-12=-6

3x=6

x=2

Which expression is equivalent to 2(5 − 3x)?

Answers

Answer:

10-6x

Step-by-step explanation:

Hope this helped, have a great day! (mark brainliest if you want to help XD)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

10 - 6x

Step-by-step explanation:

never mind LOL i got it

Answers

Answer:

C.

Step-by-step explanation:

Adjacent / Hypotenuse = 24 / 25

can someone please help me i don’t get this at all!?

Answers

She bought N pencils last month for 288, as the amount is in pennies. This month she bought N+12 for 720.

288/N = 720 / (N+12)
288(N+12) = 720N
288N + 3456 = 720N
3456 = 720N - 288N
3456=432N
N=8

She bought 8 pencils last month for 288, which is 36 cents each. And she bought 20 pencils this month for 720 which is 36 cents each. Hope this helped :)

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?

Answers

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Learn more about distance here:

brainly.com/question/15172156

#SPJ2

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