An intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.

Answers

Answer 1

The length of an arc is the distance between the endpoints of the arc.

The central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]

The given parameters are:

[tex]\mathbf{l = 19yd}[/tex] --- length of the arc

[tex]\mathbf{r = 4}[/tex] -- radius of the circle

The length of an arc is calculated as:

[tex]\mathbf{l =r\theta}[/tex]

Divide both sides by r

[tex]\mathbf{\theta = \frac lr}[/tex]

Substitute known values

[tex]\mathbf{\theta = \frac{19}4}[/tex]

[tex]\mathbf{\theta = 4.75\ radians}[/tex]

Convert to degrees as follows:

[tex]\mathbf{\theta = 4.75 \times \frac{180}{\pi}}[/tex]

[tex]\mathbf{\theta = 4.75 \times \frac{180}{3.142}}[/tex]

[tex]\mathbf{\theta = 272.16^o}[/tex]

Hence, the central angle is: [tex]\mathbf{4.75\ rad}[/tex] or [tex]\mathbf{272.16^o}[/tex]

Read more about length of arcs at:

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Related Questions

can some please helppp

Answers

Answer:

8

Step-by-step explanation:

8 because the ratio shown has everything in the x doubling as it goes on

determine this systems of equations no solution, one solution, infinitely many solutions

y=5x-20
4x+12=y

Answers

Answer:

one solution

Step-by-step explanation:

can a triangle be made with side lengths of 1, 2, and 4 plsss

Answers

NO IT CANNOT BE MADE

Step-by-step explanation:

Since, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

please help due in 10 mins.
Tides are measured by the heights of the tide above or below sea level. The difference between the two heights represents how much greater the high tide is than the low tide. The table shows the high and low tides and the difference between their heights at each of three locations. Some of the data in the table are missing. Use this information for the problem below.

Answers

Answer: Location A: 6.04, since a negative and a negative is a positive. 6.04--1.08=7.12

Location C: 6.9

7.34-0.44=6.9

Step-by-step explanation:

Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04

What is high tide and low tide ?

Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface. When the highest part, or crest of the wave reaches a particular location, high tide occurs; low tide corresponds to the lowest part of the wave, or its trough.

Given here Difference between high tides and low tides                                = high tide - low tide

= HT - LT    . . . . . . . (1)

thus, Difference between high tide and low tide at location C is = 7.34 -0.44    

                                                                                                          =  6.9

And high tide at location A is = (Difference between HT & LT) +  LT  (from  eqn 1)

                                                = 7.12 + ( -1.08)

                                                = 6.04

Hence, Difference between high tide and low tide at location C is equal to 6.9 and high tide at location A is equal to 6.04

Learn more about high tide and low tide here:

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Write an equation of the line with a slope of -4 and a y-intercept of 2.

Answers

Answer:

Step-by-step explanation:

-4 x y-= 2

Jessica is packing books for her move She has 93 books. Each box can fit 6 books. How many boxes does she need to move all of her books? (Long division please)

Answers

Answer:

16

Step-by-step explanation:

93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books

Answer:

She will need 16 boxes with space for 3 more books

Step-by-step explanation:

HURRYY
what are vertical angles​

Answers

Answer:

angles on a straight line

Step-by-step explanation:

Answer:

477

Step-by-step explanation:

it would aditionuuiiiiiiiiiiijhjhhjj

Please help please please help me please please

Answers

Answer:

8.88

Step-by-step explanation:

With reference angle 42°

hypotenuse (h) = 12

base (b) = x

Now

cos 42° = b / h

0.74 = x / 12

x = 0.74 * 12

x = 8.88

Answer:

the answer is 48 I think

Step-by-step explanation:

I did it by sub 90 and 42

PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6

Answers

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )

14x = 98 ( divide both sides by 14 )

x = 7 → C

It’s be b cuz it best supports

worth 10 points ! need help asap

Which shows the given inequalities in slope-intercept
form?

Answers

Answer:

second option

Step-by-step explanation:

You want to isolate the 'y' in each inequality:

4x - 5y ≤ 1

-5y ≤ -4x + 1

y ≥ 4/5x - 1/5   (inequality symbol changed because we divided by a negative)

1/2y - x ≤ 3

y - 2x ≤ 6    we multipled the original inequality by 2 to eliminate the denom.

y ≤ 2x + 6

The answer would be the 2nd option

HELP!
What is the surface area of this shape?​

Answers

Answer:

253.5 meter squared

Step-by-step explanation:

Surface area of a cube is area of the base times 6: 6(a^2) where a is the length of the side.

6(6.5^2) = 253.5m

What is the value of x when 9( x - 9)= -11​

Answers

Answer:

x = 70/9

Step-by-step explanation:

9x - 81 = -11

move it to the right

9x = -11 +81

calculate

9x = 70

divide both sides

x = 70/9

Brianna had 20$ but spent d dollars on ice cream. Write an expression to represent how much Brianna has after buying ice cream​

Answers

Answer:

20-d=y

Step-by-step explanation:

The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?

Answers

Answer:

19050 or some other number very close like 19039

Step-by-step explanation:

I took test and got this one right.

Answer:

the guys above :)

Step-by-step explanation:

give him brainliest if you have not :)

How much money she owe her plz help

Answers

The answer is D |-20| because the absolute value of -20 is postive 20 and 95-55 is 40 plus 10 is 50 then subtract 30 is 20

6th grade math help me plzzzz

Answers

Answer:

-0.9

Step-by-step explanation:

First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1  

Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,

-1t = 0.9.

Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.

-09 welcome have an good day

34) Which temperature is colder? -16 degrees or -32 degrees

Answers

Answer:

-32 is colder

Answer:

-32 degrees? i believe so

Have A Wonderful Day !!

If y = x + 5 and x = 3, then y = what?

Answers

y=8

Step-by-step explanation:

y=x+5 x=3

y=3+5

therefore

y=8

What fraction is equivalent to -3/2

Answers

Answer:

8/12

Step-by-step explanation:

Hope it’s right

Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved

Answers

Answer:

Sightseeing

Step-by-step explanation:

And I also don’t know how to do this.

Answers

C is the answer because i did this and it not that hard if you let the teacher explain to u

The inverse of f (x)=x^2-3 is?

Answers

Answer:

[tex]f^{-1}[/tex](x)=[tex]\sqrt{x+3}[/tex]  , - [tex]\sqrt{x+3}[/tex]

Step-by-step explanation:

6th grade math help me plzzz :))

Answers

Answer:

75%

Step-by-step explanation:

So i know that 5$ = 25%

So if i go up 3 times i get 15$ so that means you do 25% x 3 to get 75%

determine the values of X for which g(x) is defined ​

Answers

this is a question from me to you not an answer sorry what class are you taking

Which is the better deal?

Cheerios

12 oz. for $ 1.99
36 oz. for $2.59
48 oz. for $3.99
60 oz. $4.59​

Answers

Answer:

36 oz

Step-by-step explanation:

Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.

12oz = $1.99

36oz/3 = 12oz   so $2.59/3   = $ .86

48oz/4= 12oz   so $3.99/4  = $1.00

60oz/5= 12oz   so $4.59/5 = $ .92

So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.

Part A:
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*

Part B: Find the slope of the line from the graph above. *Don't forget to simplify!*

Answers

Answer:

Option D

Step-by-step explanation:

A). From the graph attached,

    Arrow AB represents the RISE and arrow BC represents the RUN.

B). RUN from point A to B (Horizontal distance) = 2 units

    Rise from point A to B (Vertical distance) = -4 [Since, downwards arrow represents negative notation]

    Slope of the line segment AB = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                                       = [tex]\frac{-4}{2}[/tex]

                                                       = -2

   Therefore, slope of the line = slope of the line segment AB = -2

    Option D will be the correct option.

A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2, A, negative 1, B, 0, C, 1, D, 2.
Identify the location of each point on the number line.

1
2
is Point
.

−1
2
is Point
.

−11
2
is Point
.

11
2
is Point
.

Answers

Answer:

Step-by-step explanation:

Show by the use of Poisson brackets that for one-dimensional harmonic oscillator there is a constant of the motion u defined as

u(q,p,t)=ln⁡(p+imωq)-iωt

Answer:

your answer will be A.

Step-by-step explanation:

A Number line going from negative 2 to positive 2 in increments

At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?

Answers

Answer:

12.50

Step-by-step explanation:

Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.

The diagram shows an isosceles right
triangle. Follow these steps to explore the
relationship between side lengths.
m2 ABC = 45°
MZ ACB = 45°
1. Measure the length of each leg and
the hypotenuse:
AB =
units
AC =
units
BC =
units
B
C
A
III
IIIIIIIIIIIIIIIII

Answers

Answer:1. 1.0 1.0 1.4

Step-by-step explanation:

The  length of the sides are given by the 45°45°90° triangle theorem.

Correct responses:

AB = 1AC = 1BC = √2

Methods used to find the lengths

The 45°–45°–90° triangle theorem states that the ratio of the lengths of

the sides of triangles having interior angles of 45°, 45°, 90° is 1 : 1 : √2

The lengths of the legs of an isosceles triangle are equal.

The legs of the given isosceles right triangle are AB and AC

Therefore;

AB = AC

Taking the lengths of AB as 1 unit, we have;

AB = 1 = AC

According to Pythagorean theorem, we have;

[tex]\overline{BC}^2 = \mathbf{\overline{AB}^2 + \overline{AC}^2}[/tex]

Which gives;

[tex]\overline{BC}^2 = 1^2 + 1^2 = \mathbf{ 2}[/tex]

Therefore;

BC = √2

Therefore, by setting the length of AB = AC = 1, we have;

AB = 1AC = 1BC = √2 ≈ 1.414

The above values are in the ratio 1 : 1 : √2, which corresponds with the

45°-45°-90° triangle theorem.

Learn more about Pythagorean theorem here:

https://brainly.com/question/66231

Please please help please please ASAP please

Answers

Answer:

14.52

Step-by-step explanation:

With reference angle 32°

perpendicular (p) = 9

base (b) = x

Now

Tan 32° = p / b

0.62 = 9 / x

x = 9 / 0.62

x = 14.52

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What the heck.. of course its because of the bet and maybe because I wanted to get away from my parents. She is not fun and super rude. Id never want to hang out with her on my own. This is definitely for the bet. All that laughter and fun was totally fake. Shes still an annoying spoiled brat.. right? I really dont know how to see her anymore because right now she looks really adorable feeding the ducks. She has a big smile on her face and she generally looks really happy. Happy suits her. What am I even saying? This is kinda bad, Im actually having... fun. I even almost told her about my parents fighting.. she definitely can not know about that. She wouldnt understand. While Im deep in thought, I notice her dump the rest of the bag of bread crumbs in the pond and giggle. I like when she laughs. Wait, no I dont. Pretty boy! Dump the rest of your crumbs to the ducks! I smile and do as she says. My name is Seth. You can stop calling me pretty boy. 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