What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? Enter your answer as a decimal in the box. radians

Answers

Answer 1

Answer:

17.1972degrees

Step-by-step explanation:

length of an arc = theta/360 * 2πr

Substitute the given angle;

1.2 = theta/360 * 2(3.14)(4)

1.2 = theta/360 * 25.12

1.2/25.12 = theta/360

0.04777 = theta/360

theta = 360 * .04777

theta = 17.1972

Hence the required angle is 17.1972degrees


Related Questions

Find the area of the shape shown below.

Answers

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?

Answers

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

The given pattern continues. Write down the nth term of the sequence ​{a​} suggested by the pattern. 7,-14,21,-28

Answers

Answer:

7_14-21-28-35-42-49 -56-63-70-77-84

7-14-82beieneidndkdbdidjsm depot ? Shabakadop lablelable scabadadoble ohhh

The bakery manager at the grocery store decides to have a ​18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion​ represent?

Answers

So I put the milk in the cape and take out the if u put the kids back u take out the milk and buy the chicken and eat the doggie

You spin the spinner twice.
What is the probability of landing on a 6 and then landing on a 9?
Write your answer as a fraction or whole number.

Answers

Answer:

(1/4)(1/4) = 1/16

Brian went to the movies. He spent $8 on his movie ticket and $10 on snacks. He brought $20 to the movies. Which equation could be used to find the amount of money Brian had left?

Answers

20-10=10-8=2 so he has 2$ left over and he spent 18$ of it lol

Given the system of equations below, identify the solution values. x − y = 3 x−y=3 7

Answers

Answer:

I believe there is no answer because if x-y = 3 x - y cant equal 3 7.

Step-by-step explanation:

Please mark brainliest :) hope i helped

help me pls pls pls pls pls pls

Answers

10 is -35
11 is -30
12 is 1
And I don’t know 9 sorry

12(5x + 10x²) = 256 + 60x
How do I solve this equation

Answers

Answer:

30

Step-by-step explanation:

idek

The answer would be what's shown below



What’s the value of this expression?

Answers

Answer:

ans is 0

Step-by-step explanation:

(3/5)0×-2

(3/5)^0

so the answer Is 0

Plzzzz help asap thank you

Answers

1. Some values of x that would make this inequality true are (-6) (-7) (-8) (-9) etc.. *remember to keep going upward with negative sign as two negative signs cancel each Other out; making them bigger than 10
2. The difference between -2x>=10 from -2x>10 is this:
-2x>=10
___ __
-2. -2

X<=-5 (I reversed the sign cause it’s dividing by a negative)

And then the second equation:

-2x>10
__. __
-2. -2

X<-5

The difference is that -2x>=10 has a product of x< =-5 meaning that X has to be less than OR equal to -5. On the other hand, -2x>10 results in x<-5 meaning that X has to be less than -5 but CANNOT be equal to -5 since there isn’t any underline the inequality. They are different as the one with the underline of the inequality can be -5 or below.. though the one without the underline of the inequality can only have numbers below -5

Solve x2+x-1=0 using the quadratic formula.

Answers

Answer:

x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Ignore the A that doesn't belong in the answer

Simplify to a single power of 6:

Answers

Answer:

6^2

Step-by-step explanation:

it is a division between two power with the same base, so we have to subtract the exponents

6^(6-4) = 6^2

Answer:

36

Step-by-step explanation:

6^6/ 6^4

46656/1296

36

when data are presented in a paragraph form, it is in ______.
A.tabular
b.graphical
c.texture
d.abstract​

Answers

Answer:c.texture

Step-by-step explanation:

The answer is c.texture

The diameter of a circle is 22 centimeters. What is the circle's circumference?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Around 69.08 centimeters.  

»»————- ★ ————-««  

Here’s why:  

[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]

⸻⸻⸻⸻

The diameter is given. The radius is 11 cm.Recall that the radius is half the diameter.

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The answer is 0.69 circumstances


What is g(x)?

Please help!

Answers

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

in chemistry class, Rhonda measured 9.5 grams of a substance how many milligrams is this?

Answers

The answer is 9,500 Milligrams

What is the y-intercept of the graph below?

Answers

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

D. (0, -1)

Step-by-step explanation:

What is the value of 4x + 9, when x = 4?

Answers

Answer:

The answer would be 25.

4x4=16

16+9=25

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

25

Step-by-step explanation:

rewrite the equation

(4x4)+9

do the equation

16+9=25

Please answer!!!!! 100% sure will mark as brainlist
question: In the given figure ABCD is a parallelogram Find x​

Answers

Answer:

x=3

Step-by-step explanation:

5x-1=3x+5(opposite sides of a parallelogram is equal)

5x-3x=5+1

2x=6

x=6/2

x=3

therefore the value of x is 3

Answer:

Step-by-step explanation:

So in a parrelelagram, we know that the top and bottom side are equivelent in length.

This is the same with the left and ride side as well.

So knowing this, we can solve x by setting up this equation:

5x-1=3x+5

This works because we know both sides are equvlent, but have different x values and number values.

Lets start solving:

5x-1=3x+5

First lets move all the numbers to one side:

5x=3x+6

Now lers get the variable to one side:

2x=6

Now divide both sides to get x alone"

x=3

This is your answer!

Hope this helps!

Find the value of x in the isosceles triangle shown below​

Answers

Answer:

2²+3² =x²

4+9. =

=13

x. =13

answer is option c

Answer:

C

Step-by-step explanation:

You divided 4/2 you get 2

2^2+3^2=x^2

x^2=4+9

x^2=13

x= square root 13

Which of the following is the range of the function based on the input-output
table below?
Hours
of training
Pay
per month

O A. (130, 35, 125, 30, 120, 25, 115)
O B. {5, 10, 15, 20, 25, 30, 35)
OC. {5, 100, 10, 105, 15, 110,20}
OD. 100, 105, 110, 115, 120, 125, 130)
Can anyone please help

Answers

Answer:

5, 100, 10, 105, 15, 110,20}

Step-by-step explanation:

The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

The table

Now,

we can find the range of the function based on the input-output table:

The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.

To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.

Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ7

Please help asap will mark brainliest

Answers

150 have a great day …

Which construction is shown in the figure below?

Answers

Answer:

C

Step-by-step explanation:

Perpendicular bisector of line segment AB

Use the triangle at the right to answer questions 7 and 8.
7.
Find the value for w?
A. 7
B. 14
C. 7V2
D. 14V2
W
14
8.
Find the value for z?
450
A. 7
Z
B. 1412
D. 73
C.
14

Answers

Answer:

7) 14✓2

8) 14

are the answers.

Step-by-step explanation:

in a triangle the sum of angles is 180 deg.

the third angle will be = 180 - 90 - 45

= 45 deg

since 2 angles in the triangle are 45 deg it means the triangle is isosceles

and in isosceles triangle the sides opposite to equal angles are equal which means

z = 14 (answer to question 8)

now in right angle triangle, by pythogoras theorem,

hypotenuse ² = base ² + height ²

thus

[tex] {w}^{2} = {z}^{2} + {14}^{2} \\ {w}^{2} = {14}^{2} + {14 }^{2} \\ {w}^{2} = 2 \times {14}^{2} \\ w = \sqrt{2 \times {14}^{2} } \\ = \sqrt{2} \times 14 \\ = 14 \sqrt{2} [/tex]

answer to question 7

what are the domain and ranges of each?

Answers

Answer:

1. Domain is -4<x≤5, Range is -1≤x<2

2. Domain is -Ꝏ<x<3, Range is -3<x<1

Bonus: Domain is -Ꝏ<x<2, 2<x<Ꝏ, Range is -Ꝏ<x<3, 3<x<Ꝏ

The answer to this maths question

Answers

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

16 + 36 drag numbers to the lines to create an equivalent expression in factored form

Answers

Answer:

4(4+9)

(if you are able to use 4 twice)

Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how

Answers

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1000 e^0.1t how log before the investment doubles?

Answers

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is [tex]r=10\%[/tex]

Future value is given by [tex]s=1000e^{0.1t}[/tex]

For the investment to double itself, i.e. [tex]s=2000[/tex]

[tex]\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}[/tex]

It takes around 6.93 years to double the investment.

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