what angle does an arc 5.5cm in length subtend at the center of a circle of diameter 7cm​

Answers

Answer 1

Answer:

Step-by-step explanation:

Circumference of circle = 7π cm

θ = 2π × 5.5/(7π) = 11/7 radians


Related Questions

On Tuesday, Bob brought home an oriental carpet on approval. The price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars. On Tuesday, one dollar was worth 4.5 Turkish Lira. On Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira. Feeling lucky by this change, Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate. To the nearest dollar, how much did he save due to the devaluation?

Answers

Answer:

Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.

Step-by-step explanation:

Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:

(9,900 / 4.5) - (9,900 / 6.5) = X

2,200 - 1,523.07 = X

676.92 = X

So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.

mai is solving the equation (x-5)=0, she writes that the solutions are x=5 and x=-5. Han looks at her work and disagrees. he says that only x=5 is a solution. who do you agree with? explain your reasoning.

Answers

Answer:

Hey there, im assuming the parenthesis are absolute Value

Han is correct!

Step-by-step explanation:

|x-5|=0

possible solution are the opposite of -5, which is 5

|5-5|=0 (true)

If it was -5,

|-5-5|≠0, it equals 10

Which set of inequalities best describes the region R?

Answers

Answer:

C--- x+y<-1y>2

Step-by-step explanation:

hope this helps!

have a good day :)

20 POINTS! PLEASE HELP ME! WILL GIVE BRAINLIEST! A large pizza has a circumference of approximately 43.96 inches. What is the diameter of the pizza? Use 3.14 for pi

Answers

Answer:

d = 14

43.96/3.14 = 14

hope that helps

Answer:

The diameter of the pizza should be 14.

What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5

Answers

Answer:

52 4/5

Have a nice day! :)

|(x-19)+11| considr all posibilyties

ill give you brainlyest

Answers

Answer: Here Is the answer

Step-by-step explanation: hoep this helps :)

What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for TT.)

Answers

Answer:

9.52

Step-by-step explanation:

What is the slope and y-intercept of the equation, y=3x+10?

Answers

Not sure on the slope but the y intercept would be a 10

:))

(4 - x)(3+ 2x) = .................... ​

Answers

Answer:

-2x^2+5x+12

Step-by-step explanation:

(4-x)(3+2x)

12-3x+8x-2x^2

12+5x-2x^2

-2x^2+5x+12

Kim was asked to explain to her friends how to solve 3x? - 2x = 1. She will be using the quadratic formula. What would be the first step?

Answers

Moving the 1 over so that there is a zero on the other side


A rectangular photograph is 8 cm wide and 12 cm long. The photograph is enlarged by increasing the length and width byan equal amount in order to double its area. What are the dimensions of the new photograph?
a. 12 cm by 16 cm
b. 16 cm by 24 cm
C. 20 cm by 30 cm
d. 48 cm by 72 cm

Answers

Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

plz help
a diagram with line m parallel to line n is shown express the value of y in terms of x

Answers

Answer:

y = 170 - 3x

Step-by-step explanation:

l // m

y + 3x + 10 = 180  {co interior angles are supplementary}

 y + 3x   = 180 - 10   {Subtract 10 from both sides}

   y+ 3x = 170      {Subtract 3x from both sides}

          y = 170 - 3x

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

Answers

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Find the measures of the interior angles of the triangle

Answers

Answer:

m∡A = 59°

m∡B = 48°

m∡C = 73°

Step-by-step explanation:

'x' = measure ∡A

73 + x - 11 + x = 180

2x + 62 = 180

2x = 118

x = 59

FIFTY POINTS AND ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!

Find the sum, difference, product, and quotient of 6 x 10^-4 and 1.5 x 10^
-4. Write your answers in scientific notation.
The sum is__
The difference is__
The product is__
The quotient is__

Answers

Answer:

The sum is

6 × 10⁻⁴ + 1.5 × 10⁻⁴ = 7.5 × 10⁻⁴

The difference is

6 × 10⁻⁴ - 1.5 × 10⁻⁴ = 4.5 × 10⁻⁴

The product is

6 × 10⁻⁴ × 1.5 × 10⁻⁴ = 9 × 10⁻⁸

The quotient is

6 × 10⁻⁴ ÷ 1.5 × 10⁻⁴ = 4

A compact disc with a diameter of 120. What is the area?

Answers

Step-by-step explanation:

A compact disc with a diameter of 120.

the area=π(d/2)²=π×(120/2)²=60²π=3600π or 11309.73units²

Cam, Yusef, and Spencer have resolved to drink more water each day. The recommended amount of water per day is 64 ounces.

a. Cam has 10% of the recommended amount of water left to drink before bed. How many ounces of water does she need to drink to reach her goal? Show your work and/or explain your reasoning.

Answers

9514 1404 393

Answer:

  6.4 ounces

Step-by-step explanation:

10% of 64 ounces is ...

  0.10 × 64 = 6.4 . . . . ounces

Cam needs to drink 6.4 ounces to reach the recommended amount.

kattie and matt are both flying kites on a breezy day. the string of katies kite is extended 864 feet, and her kite makes a 38 angle of elevation with the ground. the string of matt's kite is extended 725 feet, and his kite makes a 40 angle of elevation with the ground. Whose kite is flying higher in the sky

Answers

Answer:

Kattie's kite is flying higher

Step-by-step explanation:

Let the height of each kite be h.

The h is opposite to angle of elevation and the sting length is hypotenuse of the formed triangle.

Kattie's kite:

h/864 = sin 38°h = 864 sin 38°h =  532 ft (rounded)

Matt's kite:

h/725 = sin 40°h = 725 sin 40°h = 466 ft (rounded)

Kattie's kite is flying higher as 532 ft > 466 ft

can you help me with this what is 4z-z

Answers

Answer: The answer would be 3z! Good luck!

Step-by-step explanation: Subract z from 4z, basically turn the equation to 4z - 1z, then put the variable (z) to the side and subtract 1 from 4. Once you're

done with that bring your variables back and you have 3z!

SOMONE PLEASE HELP ME PLEASE

Answers

Answer:

you would look at the chart and the answer so this would be answered B

How do you graph this (real answers only)

Answers

Answer:

Yes in a mathematical way I was correct with the answer I first displayed here but my answers weren't to your satisfaction so If I may....

Step-by-step explanation:

heres a graph

Please help i give brainliest

Answers

Answer:

The length is 9 feet and the width is 4 feet.

Step-by-step explanation:

Let the dimensions be L (the length)  and L - 5 (the width).

From the given information the area is:

A = L(L - 5)

When L becomes L + 3 and width becomes (L - 5) -1  = L - 6 we have:

A = (L + 3)(L - 6) so

L(L - 5) = (L + 3)(L - 6)

L^2 - 5L = L^2 - 3L - 18

-2L  = -18

L = 9

so the width = 9 - 5 = 4.

What is the area of the triangle?
15 cm
12 cm

Answers

Answer:

area = 90 cm²

Step-by-step explanation:

area = 1/2bh = 1/2(12)(15) = 90 cm²

Please Show your work.

Answers

Answer:

Equation: y = 2.5x

Answer: 43.75 drawers

Step-by-step explanation:

Equation: 10 - 7.5 = 2.5 and when you subtract 2.5 until the Number of Drawers (x) is 0, then you get 0 for Total Volume (y), so y =2.5x+0 or y = 2.5x

Answer: Substitute 17.5 into x.

y = 2.5(17.5)

y = 43.75 drawers

Two forest rangers are standing on a road that runs east-west. One sights a forest fire in the direction 31° east of
north. The other sights the same fire 57° west of north.
Find the distance from each ranger to the forest fire and
the shortest distance from the fire to the road.

Answers

Answer: The forest ranger closest to the fire is at a distance of 9.92 miles (nearest hundredth).

Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.

Point A is to the left and point B is to the right.

Complete triangle ABC so that m∠A = 41° and m∠B = 56°.

The point C represents the location of the fire.

Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.

Because the sum of angles in a triangle is 180°,

m∠C = 180° - (41° + 56°) = 83°.

From the Law of Sines,

x/sin(41) = 15/sin(83)

x = 15*[sin(41)/sin(83)] = 9.915 mi

Step-by-step explanation:

Draw a horizontal line AB of length 15 miles to represent the positions of the two forest rangers.

Point A is to the left and point B is to the right.

Complete triangle ABC so that m∠A = 41° and m∠B = 56°.

The point C represents the location of the fire.

Let x = length of BC. It is the shortest distance from the forest ranger B to the fire because BC is opposite the smaller angle of 41°.

Because the sum of angles in a triangle is 180°,

m∠C = 180° - (41° + 56°) = 83°.

From the Law of Sines,

x/sin(41) = 15/sin(83)

x = 15*[sin(41)/sin(83)] = 9.915 mi

Parking at a large university has become a very big problem. University administrators are interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 250 students and carefully recorded their parking times. The university is interested in using the information from the sample of 250 students collected to learn information about the entire student parking population. Would this be an application of descriptive or inferential statistics

Answers

Answer:

Inferential statistic

Step-by-step explanation:

The art of making deductions or data driven predictions from statistical data refers to an aspect of statistics called Inferential statistics. Inferential statistics differs from descriptive statistics which is another aspect which focuses on presenting characteristics of data. Here, we make statistical deductions about the entire population from the results obtained about the sample statistic. In the scenario above, the statistic derived from the sample data will be used to make deductions about the general population of students who park in the university. Therefore, from the statistic obstaied from the sample, we infer about the population.

find the product (4x - 7) (4x +7)​

Answers

Answer:

(4x)^2-49

Step-by-step explanation: hoped I helped

1.06 SINUSOIDAL GRAPH VERTICAL SHIFT
What is the period of the function f(x)=cos10x

Answers

The cosine function is the trigonometric function, so it is known as the periodic function.

The period of the given function is π/5. The option 4 is the correct option.

What is the period of the cosine function?

The cosine function is the trigonometric function, hence it is known as the periodic function.

The period of a function is the total interval in which the function repeats itself over and over again the of the function for a complete cycle. If,

[tex]f(x)=A\cos(Bx+C)+D[/tex]

Then the period of the cosine function can be given as,

[tex]I=\dfrac{2\pi}{|B|}[/tex]

Given information-

The given function in the problem is,

[tex]f(x)=\cos(10x)[/tex]

The above function is the cosine function. Let a cosine function of in with values of [tex]x[/tex] 0 to 2π.

Now the period of the periodic function is the interval of [tex]x[/tex] values in which the the cycle of graph repeats itself in both directions.

Compare the given function with above equation we get,

[tex]B=10[/tex]

Thus the period of the [tex]\cos (10x)[/tex] is,

[tex]I=\dfrac{2\pi}{|10|}\\I=\dfrac{\pi}{|5|}\\I=\dfrac{\pi}{5}\\[/tex]

Hence the period of the given function is π/5. Thus the option 4 is the correct option.

Learn more about the period of the function here;

https://brainly.com/question/4599903

Answer:

○ [tex]\displaystyle \frac{\pi}{5}[/tex]

Explanation:

[tex]\displaystyle \boxed{f(x) = sin\:(10x + \frac{\pi}{2})} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{20}} \hookrightarrow \frac{-\frac{\pi}{2}}{10} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]

From the information above, you have your answer.

I am delighted to assist you at any time.

Please help i’m not sure what to do and how to do a certain step ....

Answers

Step-by-step explanation:

The perimeter of Ms.Burner garden will be 3 times greater than Mrs.Kesler garden.The area of Ms.Burner garden will be larger than Mrs.Kelser garden.

Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please

Answers

Answer:

x = 15 ft

Step-by-step explanation:

Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:

side AE / side EB = side AD / side DC

4/6 = 10/x

Solve for x

x = (10)(6) / 4

x = 60 / 4

x = 15 ft

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