An arc is subtended by a central angle measuring pi/2 radians. What fraction of the circumference is this arc?

Answers

Answer 1

Answer:

The angle is 1/4 the circumference is the arc

Step-by-step explanation:

To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.

At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.

To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:

The central angle of arc / total angle at the centre of the circle

= π/2 ÷2π

=[tex]\pi/2 \times \frac{1}{2\pi}= 1/4[/tex]

Therefore the angle is 1/4 the circumference is the arc


Related Questions

The ratio of boys to girls in Mr. Smith's class is 3:2. Which statement is correct? Circle all that apply. A For every 3 boys, there are 2 girls. B For every 2 boys, there are 3 girls. С There are exactly 5 students in Mr. Smith's class. D The ratio of the number of boys in the class to the total number of students is 3:5. E The ratio of the number of students in the class to the number of girls is 5 to 2.​

Answers

Answer:

A.

Step-by-step explanation:

The ratio is set as boys to girls in the classroom. For every 3 boys, there are 2 girls in the classroom. This does not mean that there are only 5 people in the class.


Find the ordered pair that is a member of both -2x + 6y = 34 and
2x + 2y = 14 or indicate if it does not exist or there are infinite
possibilities.

Answers

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

pls help, i'll give you a brainliest 4 answer <3

Answers

Answer:

[tex] x = 45 \ \& \ y = 5 [/tex]

Step-by-step explanation:

The system of linear equations in two variables is ,

[tex]\begin{cases} x = 9y \cdots (i)\\ x - 5y = 20\cdots (ii) \end{cases}[/tex]

We can easily solve out this Question using substitution method . For that , substituting x = 9y from equation (i) to equation (ii) , we have ,

[tex]\implies x - 5y = 20 \\\\\implies 9y - 5y = 20 \\\\\implies 4y = 20 \\\\\implies y =\dfrac{20}{4}\\\\\implies\boxed{\boxed{ y = 5 }}[/tex]

Substituting this value in (i) ,

[tex]\implies x = 9y \\\\\implies x = 9\times 5 \\\\\implies \boxed{\boxed{ x = 45 }}[/tex]

Answer: (45,5)

Step-by-step explanation:

You're given what x equals: 9y. Substitute that into the equation x - 5y = 20. Your equation should look like this: 9y - 5y = 20. From there, solve for y. 9y subtracted by 5y is 4y. Then, solve 4y = 20. Divide both sides of the equation by 4. The result is y = 5. We now know the y-coordinate in the ordered pair. Substitute this y-value into the first equation: x = 9y. 9(5) = 45. x = 45.

Plug these two values into the ordered pair (x,y).

Select the equivalent expression.

Answers

Answer:

b.

[tex] {4}^{15} \times {5}^{10} [/tex]

Step-by-step explanation:

In the given expression u can bring the 5^-2 in the neumerator making it 5^2.

Then multiply both powers by 5.

Hope this helps !!!


Prateek, Dipti and Manoj jogs daily in the morning around a square park,
they take, 6 mins, 5 mins, and 10 mins respectively to take one complete
round. In one morning, all of them start at same time from the same point and
jog in the same direction for an hour.
A- After how many minutes will all three of them meet again? (30 min)
B- How many times will they meet together during the one hour period?
C- What physical and emotional values can be created through this exercise

STEP BY STEP ANSWER

Answers

Answer:

A

To solve this find the LCM of 6, 5 and 10

6 = 2*35 = 510 = 2*5LCM(6, 5, 10) = 2*3*5 = 30

They will all meet after every 30 min

B

1 hour / 30 min = 60 min / 30 min =2 times

C

Physical and emotional health

PLEASEEEEE HELP Jonah bought 3 packages of hot dogs and 2 packages of hot dog buns and paid $21.90. He went back and purchased 2 more hot dog packages of and 5 more packages of hot dog buns and paid $23.40. Assuming there was no change in the individual cost of each item, what is the cost per package of hot dogs and hot dog buns?

Answers

Answer:

each hot dog packege is 7.30 and each hot dog bun packege is 3.65

Step-by-step explanation:

What's the answer I need help right away

Answers

Answer: ?=28

Step-by-step explanation: 35/7=5

                                             49/7=7

                                              28/7=4

please help! its due in 10 mins

Answers

Answer:

144

Step-by-step explanation:

sorry if im wrong its been awhile since ive done this

What is the value of (-2+37) - (-3 - 11i)?

Answers

Answer:

I think it is 38+11i not sure but try it

Question 3
Juvenile ground squirrels respond to predators by making alarm calls that can alert others to danger. A biologist conducted a study to investigate how squirrels respond to these alarm calls: run
to burrow or freeze. The biologist played recordings of alarm calls for three samples of ground squirrels, grouped by age, and observed the squirrels' responses. The data for the three age levels
are shown in the table.
Run to Burrow
Freeze
Total
21
18
39
16
24
40
1 to 5 Days Old
6 to 15 Days Old
16 to Zs Days Old
Total
12
7
19
49
49
98
If ground squirrels at different ages respond to the alarm signals in the same proportions, what would be the expected count for 6-to 15-day-old squirrels that freeze?

Answers

Answer:

((19)(49)/98)

Step-by-step explanation:

Answer: C ((40)(49)/98)

Step-by-step explanation: The formula for expected count is (row total)(column total)/table total

Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?

Please include an equation.

Answers

Answer:

12

Step-by-step explanation:

Answer:

9 kids tickets

Step-by-step explanation:

Let k = no. of kid's tickets

12 - k = no. of adult's tickets

9.50(12 - k) + 6.50k = 87

95(12 - k + 65k = 870

1140- 95k + 65k = 870

- 30k = -270

k = 9 kids

What is the ratio(fraction) for sin B

Answers

Answer:

sin B = 4/5

Step-by-step explanation:

sine is opposite over hypotenuse

It’s 4/5 I believe sorry if it’s not

Can someone please help me with this....im stuck.

Answers

The answer is C hope it helps

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

I need help with this ( see question ). Please show workings.

Option E :
700.00

Answers

Answer:

(c) 10.08

Step-by-step explanation:

Given:

Value of the radio = 84Import tax = 12%

Tax amount:

84*12/100 = 10.08

Correct choice is (c)

Find the area of the figure

Answers

Answer:

bro its 24

Step-by-step explanation:

The diameter of a circular swimming pool is 15 feet. Find the circumference to the NEAREST TENTH. ( one place at the decimal point) (don’t put 47.12)

Answers

Answer:

47.1 ft

Step-by-step explanation:

C = πd

C = 3.14 · 15

C = 47.1

C ≈ 47.1 ft

The equation v=129t gives the number of views v for a video after t hours. Identify the independent and dependent variables.

independent variable
dependent variable












































































The equation v=129t gives the number of views v for a video after t hours. Identify the independent and dependent variables.

independent variable
dependent variable


































































































The equation v=129t gives the number of views v for a video after t hours. Identify the independent and dependent variables.

independent variable
dependent variable

















































The equation v=129t gives the number of views v for a video after t hours. Identify the independent and dependent variables.

Answers

Answer: independent=t. dependent=v

Step-by-step explanation:

PLEASE I’m in classssss

Answers

Answer:

25 minutes

Step-by-step explanation:

Think about how many steps per minute Paul can walk. Knowing that he can walk 15 steps in 5 minutes, we can say that Paul can walk 3 steps/minute.

We're asked to figure out how many minutes it would take him if he walks at a constant speed if he takes 75 steps. So we can just divide 75 steps into 3 steps/minute and then we should get 25 minutes!

Answer:

25 Minutes.

Step-by-step explanation:

Its hard to explain.

PLEASE HELP!!!! While observing the fare meter in a taxi, a student records the following data:

Reading on Taxi Fare Meter
Time (minutes) Meter Reading
0 $7.75
10 $13.25
20 $18.75
30 $24.25

What is the equation that relates the cost, C(t), of the taxi ride and time, t, in minutes? What is the cost of a 42-minute taxi ride? (7 points)

C(t) = 0.55t + 7.75, $30.85
C(t) = 1.71t + 7.75, $79.57
C(t) = 0.775t + 5.50, $38.05
C(t) = 5.5t + 0.775, $231.78

Answers

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85

What is the difference between the cost of 15 visits with and without a membership? Show your work swimming

Answers

Question is incomplete :

It costs $4 to go to the swimming pool

The cost of n visits =

Membership at the pool costs $21. Members pay $3 each time. WHAT is The cost for a member to swim including membership fee?

What is the difference between the cost of 15 visits with and without a membership?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Swimming cost = $4

Cost of swimming n Times = cost per swim * number of swims

= $4 * n

= $4n

Membership cost = $21

Cost per swim for members = $3

Swimming cost including membership fee :

21 + 3n ; n = number of visits

For 15 visits ; n = 15

Amount paid :

Members = 21 + 3(15) = 21 + 45 = $66

Non - Member = 4(15) = 60

Difference :

$66 - 60 = 6

Members incur $6 more than non - members

This wedge of cheese is shaped like a triangular prism. The wedge of cheese is 10 inches tall. The base of the cheese is shaped like a triangle with a base of 9 and a height of 8 inches. If you ate this whole block of cheese, how many cubic inches would you have eaten?

Answers

So 9 x 8 = 72
72/2 = 36
36 x 10 = 360
so 360in
Hope this helps

There are 360 cubic inches of cheese would you have eaten.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

This wedge of cheese is shaped like a triangular prism.

And, The wedge of cheese is 10 inches tall. The base of the cheese is shaped like a triangle with a base of 9 and a height of 8 inches.

Hence, The value of volume of cheese is,

⇒ (1/2 × 9 × 8) × 10

⇒ 36 × 10

⇒ 360 inches³

Thus, There are 360 cubic inches of cheese would you have eaten.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

A new tv show will air live at 8pm Eastern Standard Time.
What time will it air in Central Standard Time?

Answers

Answer:

7:00pm

Step-by-step explanation:

7pm. CST runs one hour behind EST

Question 8 (4 points)
(08.03)
Identify the factors of x2 - 8x - 20. (4 points)
1) (x + 4)(x - 5)
O 2) (x + 5)(x - 4)
3) (x - 10)(x + 2)
O 4) (x - 2)(x + 10)
PLEASE HELP!!

Answers

Answer:

(x − 10)(x + 2)

Step-by-step explanation:

i just took the test and thats the right answer:)

what is
2×3^3 × (6÷3)​

Answers

That is easy use photo math your welcome

semaj bought a souvenir cup at the zoo for 8.50. any time semaj brings the cup back to the zoo he can purchase fountain drinks for 0.75 each. if semaj has spent 15.25vso far, including the orginal purchase of the cup, how many fountain drinks has he purchased

Answers

Answer:

9

Step-by-step explanation:

15.25-8.50= 6.75, 6.75÷.75=9

Answer:

9 fountain drinks

Step-by-step explanation:

8.50+0.75x=15.25 is the equation you will use. 8so is your starting point and for every drink you get, it is 75 cents.

Solve by subtracting 8.50 from 15.25

0.75x=6.75

Divide 6.75/0.75 to isolate the x.

x=9

A circle is drawn inside a square so its circumference touches each of the four sides of the square. If the area of the circle is 99.2cm2 calculate the length of the sides of the square.

Answers

Answer:

The length of the sides of the square is approximately 11.239 centimeters.

Step-by-step explanation:

Since the circle is inscribed in the square, the length of each side of the square ([tex]l[/tex]), in centimeters, is equal to the length of the diameter of the circle ([tex]D[/tex]), in centimeters. The area of the circle ([tex]A_{c}[/tex]), in square centimeters:

[tex]A_{c} = \frac{\pi\cdot D^{2}}{4}[/tex] (1)

Where [tex]D[/tex] is the diameter of the circle, in centimeters.

If we know that [tex]A_{c} = 99.2\,cm^{2}[/tex], then the length of the sides of the square is:

[tex]D = \sqrt{\frac{4\cdot A_{c}}{\pi} }[/tex]

[tex]l = D \approx 11.239\,cm[/tex]

The length of the sides of the square is approximately 11.239 centimeters.

HELP!!!! Which answer correctly describes the change in the standard deviation for the data set {3,4,6,7,8,20} when the outlier is not included in the calculation?
(Its Not The Second one.)

The standard deviation decreases from 8 to 5.6, which means a graph of the values is less spread out without the outlier.

The standard deviation is still 5.63, which means a graph of the values doesn't change without the outlier. XXXXX

The standard deviation decreases from 5.63 to 1.85, which means a graph of the values is less spread out without the outlier.

The standard deviation increases from 1.85 to 5.63, which means a graph of the values is more spread out without the outlier.

Answers

Ok I also need help with this can you help???? I will try helping you with that homework

Answer:

C. The standard deviation decreases from 5.63 to 1.85, which means a graph of the values is less spread out without the outlier.

Step-by-step explanation:

I just took the test and got it right! I hope this helps <3

pls help me there isn’t really a question its just like a picture but if you understand please help.

Answers

Answer: The dots are representing the students and the numbers are the number of siblings so " 1 student has 5 siblings in Ms.White's class." and its the same for the other class

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Area = 1/2*(19+4)*4

= 46cm²

Step-by-step explanation:

Hope it helps you!

Answer:

19 + 4 = 23

23 x 4 = 92

92 divided by 2 = 46

Step-by-step explanation:

Formula of a trapezoid:

B1 (base 1) + B2 (base 2) x height x 1/2 (basically dividing by 2)

NO FILES OR LINKS, PLS HELP ITS TIMED
I will report if u send links or files​

Answers

We know the solutions of x because we know the 2 x intercepts which are (0,0) and (5,0).
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