In circle XX, m\angle YXZ=100^\circ∠YXZ=100

and the length of \overset{\LARGE\frown}{YZ} = 5\pi
YZ

=5π. Find the length of \overline{XY}
XY

delta math

Answers

Answer 1

The length XY of the circle X is the radius of the circle

The length of XY is 9 units

How to determine the length of XY?

The parameters are given as:

Length of arc, YZ = 5πCentral angle, YXZ = 100°

The length of arc is calculated using:

L = Ф/360 * 2πr

Where:

L = YZ = 5πФ = YXZ = 100°Radius, r = XY

So, we have:

5π = 100/360 * 2πr

Evaluate the quotient

5π = 5/9 * πr

Divide both sides by 5π

1 = 1/9 * r

Multiply both sides by 9

r = 9

This means that

XY = r = 9

Hence, the length of XY is 9 units

Read more about arc lengths at:

https://brainly.com/question/23865630


Related Questions

What is the length of segment NS?

1 unit
2 units
4 units
6 units

Answers

Answer:

4 units yan po sana makatulong

To feed his plants logan creates a mixture that requires 3/8 cup of plant food for every gallon of water. If he uses 10 1/2 gallons of. Water what is the total amount of. Plant food he needa

Answers

Answer:

[tex]3\ \frac{15}{16}[/tex]

Step-by-step explanation:

The mixture  requires 3/8 cup of plant food for every gallon of water

Then it requires (10 1/2)×(3/8) cup of plant food for 10 1/2 gallons of water

Now we have to calculate (10 1/2)×(3/8)

[tex]10\ \frac{1}{2} \ =\ \frac{10\times 2}{2} +\frac{1}{2} \ =\frac{20+1}{2} =\frac{21}{2}[/tex]

[tex]\frac{21}{2} \times \frac{3}{8} =\frac{63}{16} =3\ \frac{15}{16}[/tex]

then he needs :

[tex]\frac{63}{16}\ \ \text (cup\ of\ plant\ food)[/tex]

7. If 60 gal. of oil flows through a pipe in 15 min., how long will it take to fill up
500 gal. tank? Answer in hours/min/sec.

Answers

Answer: 2 hours and 5 minutes .

Step-by-step explanation:60 divided by 3 is 20 and 20 gal= 5 minutes .

500 divided by 20 is 25 .25 times 5 minutes is 2 hours and 5 minutes

What is the interquartile range of the data represented in the box plot below??

A.30
B.50
C.60
D.70

Answers

Option A: 30.

Step-by-step explanation:

Hope this helped.

1. P= 17 and t=25
2. T= 15 and a=9
3. P=10 and < A=50°
4. A=13 AND < A=37°
5. T=20 and < P=66°​

Answers

Step-by-step explanation:

MARK A BRAIN LESS

CARRY ON LEARNING

In a certain Algebra 2 class of 21 students, 12 of them play basketball and 14 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student is chosen randomly from the class plays both basketball and baseball is 4/21

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

If the total number of people in the class is 21 students, hence the total outcome is 21

Get the number of students that plays both basketball and baseball

n(U) = n(B)only + n(Ba)only + n(BnBa) + n(BuBa)'

21 = 6-x + 14-x + x + 5

21 = 25 -x

x = 25 - 21

x = 4

Hence 4 students play both basketball and baseball

Pr(basketball and baseball) = 4/21

Hence the probability that a student chosen randomly from the class plays both basketball and baseball is 4/21

Learn more on probability here; https://brainly.com/question/13604758

If $300 is invested at an interest rate of 3.5% per year , find the amount of the investment at the end of 15 years for the following compounding methods

Answers

52.5%. In 15 years.
You need to multiply 3.5 x 15 = 52.5%

multiply then elimination
2x+y=3
-x+3y=-12​

Answers

Answer:

X = 3

Y = -3

Step-by-step explanation:

Find the perimeter and area of the shaded region.

Answers

Answer:

1. 144 m; 2. 720m²;

Step-by-step explanation:

1.

First we need to know how much edges are of the figure. Since there is 12, we need to multiple the length of an edge to how many of them are:

12 • 12 = 144 m

2.

Since one edge is 12 m, first calculate the plot of a little square (as there are 5 in the pic):

12 • 12 = 144 m² (one square)

Now we know that one square's plot is 144 m².

Since there is 5 of them, we need to multiply the plot 5 times, since there are five mini squares:

144 • 5 = 720 m²

Now we know the plot of the full figure.

Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?

Answers

Answer:

answer below

Step-by-step explanation:

alice- no

bob- no

christy- yes

you just gotta find the area

The calculations for standard structural shapes are based on​

Answers

Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees

tep explanation:

What is 34107.12 to the nearest half centimeters? 

Answers

Answer:

34107cm

Step-by-step explanation:

Help???? i’m not good w Algebra

Answers

Answer:

Answer A

Step-by-step explanation:

All equations except A end up as no solutions when put in an Algebra calculator

The tubing was 146 feet long if each piece of tubing was cut so that it was 6 feet long how many six-foot pieces could be made from the tubing

Answers

24 you need to divide 146 by 6 which gives you 24.333 but it will only make 6 foot tubing

3. Prove that the associative property holds true for (7/8 + 2/5) + 8/3​

Answers

Answer:

(7/2+2/5)+8/3

=(3.5+0.4)+2.66

=(3.9)+2.66

=6.56

so its 6.56

Step-by-step explanation:

30 POINTS
How many cubic feet of water canthi in-ground swimming pool design below hold?
A) 520 ft3
B) 528 ft3
D) 548 ft3
C) 550 ft3

Answers

Answer:

B.

Step-by-step explanation:

1) the volume can be calculated as sum:
V=V₁+V₂;

2) V₁=6*8*8=384 [ft³];

3) V₂=0.5*6*6*8=144 [ft³];

4) the required volume:

V=384+144=528 [ft³]

ASAP PLEASE
Which statement below compares the decimals correctly?
NO LINKS PLEASE
A. 0.94 = 0.74
B. 0.74 > 0.94
C. 0.94 < 0.74
D. 0.74 < 0.94

Answers

Answer:

D. 0.74 < 0.94

Step-by-step explanation:

0.74 is less than 0.94 because 7 is less than 9. Plus that's just how math works

Find the area of the figure​

Answers

Answer:

132cm^2

Step-by-step explanation:

to solve for the area of this we can split it into smaller shapes and sum the areas afterward-

the top rectangle has an area equal to Length x Width

4x7 = 28cm^2

the centre rectangle is done similarly-

7x8 = 56cm^2

lastly the two triangles which are solved with base x height divided by two

now since we know that the centre piece is 7cm across, and that the two side triangles are equal in size, that means that we know the base to be 19-7 divided by 2 which gives 6 each-

[tex]\frac{(6)(8)}{2}[/tex] (2) = (6)(8) = 48cm

now summing them we have 28 + 56 + 48 = 132cm^2

132 cm^2
You do the part separately then add it together in the end

PLEASEEEE 100 POINTS AND BRAINLIEST PLEASEE HELPP ASAPPPPPPPPP!!!!! THANKS <3333

Answers

Answer:

2 5 7

Step-by-step explanation:

hopefully it helps sorry if it wrong

Answer:

here is your answer

Step-by-step explanation:

Today when the dwarf planet Ceres is furthest from Earth, it is 564 million km away. 233 days from now, it will be at its closest average distance of 264 million km away. Using this information, formulate a sinusoidal function that models Ceres's distance from Earth.

Answers

Answer:

currently 464,833,060 kilometers, equivalent to 3.107217 Astronomical Units. Light takes 25 minutes

47 pts )Is this proportional or non- proportional a glacier
48/32 and 42/48
What’s the answer proportional or non proportional?

Answers

Let's simplify

48/32

Take 16

3/2

And

42/48

Take 6

7/8

No they are non proportional

What is the total length of border needed in feet and
inches?

Answers

The total length of the border needed is 41 feet and 8 inches

Probability which can be classified as an event

Answers

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.

hope it helps...!!!

What is the area of the figure?

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

One ticket from New York City to Paris cost $1,572. How much would it cost a family of 8 to fly from New York City to Paris?

Answers

Answer:

It's simple number of family here is 8 x the coast of 1 ticket

Step-by-step explanation:

1572 x 8 =12576

Answer:

$12,576

Step-by-step explanation:

You just have to multipy the cost of one ticket by 8.

Students in Mrs. Curry's class recorded the amount of snowfall in January and February.

Snowfall in January (inches)
5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8
Snowfall in February (inches)
8, 4, 2, 6, 6, 3, 8
The class then made line plots of this data, but they made some mistakes. Which of the following are mistakes that the students made? Select all that apply.

A line plot named Please dont delete im having issues in my school please answer

Answers

Answer:

A and C

Step-by-step explanation:

If a permutation is chosen at random what is the probability that it begins with at least two A's

Answers

Answer:

Starting with AT LEAST 2 A's means starting with 3 A's, or starting with 2 A's with some different letter third.

P(AAA...) = (3/9)(2/8)(1/7) = 1/84

Step-by-step explanation:

What is the value of digit 3 in 659.13 in words?

Answers

The value is three hundredths

Geometry. please help. image is attached. will give brainliest

Answers

Answer:

B (x= 14/3 , y= -5/3)

Step-by-step explanation:

A (x= 6, y= 1) and C (x= 2, y = -7)

On x-axis between A and C are 6 -2 = 4 units

On y-axis between A and C are 1 + 7 = 8 units

AB = (1/3) BC

Divide the distance between AC in 3 pieces

On x-axis will have 4/3 units on each piece

On y-axis will have 8/3 units on each piece

Now move away from A the 1/3 distance

A (x= 6, y= 1)

B (x= 6 -(4/3) , y= 1 -(8/3))

B (x= (18- 4)/3) , y= (3-8)/3))

B (x= 14/3 , y= -5/3)

What is the slope of the line shown below?
(-4, 3)
(3, 1)
0 0
7
A. - 23
B.
c.
D-3

Answers

take two points  : (-4, 3), (3, 1)

[tex]\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]            where (x1, y1), (x2, y2)

Insert the following values

[tex]\hookrightarrow \sf \dfrac{1-3}{3-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{-2}{3+4}[/tex]

[tex]\hookrightarrow \sf -\dfrac{2}{7}[/tex]

(-4,3)(3,1)

slope:-

m=1-3/3-(-4)m=-2/3+4m=-2/7
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