In circle P diameter QS measures 30 cm.

What is the approximate length of arc QR? Round to the nearest tenth of a centimeter

a. 7.2 cm
b. 25.8 cm
c. 94.2 cm
d. 14.4 cm

PLEASE HURRY!! I HAVE LIMITED TIME!! :)

In Circle P Diameter QS Measures 30 Cm.What Is The Approximate Length Of Arc QR? Round To The Nearest

Answers

Answer 1

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

[tex]\angle QPR + \angle RPS=180^{\circ}[/tex]

Substituting the values, we have;

[tex]\angle QPR + 125^{\circ}=180^{\circ}[/tex]

          [tex]\angle QPR =55^{\circ}[/tex]

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

[tex]Arc \ length =(\frac{\theta}{360})2 \pi r[/tex]

Substituting [tex]\theta=55[/tex] and r =15, we get;

[tex]Arc \ length =(\frac{55}{360})2 (3.14)(15)[/tex]

[tex]Arc\ length = \frac{5181}{360}[/tex]

[tex]Arc \ length =14.4 \ cm[/tex]

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.


Related Questions

• Each number on a number cube is a possible result, or _______________, of rolling the cube.

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Ratio or outcome maybe?

Determine the slope of the line below.

A. -3 B. 3 C. 1/3 D. -1/3

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The answer is c. 1/3
The answer is C. 1/3

HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP

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Answer:

The first relationship have a zero slope.

Step-by-step explanation:

Because if the y-axis is the same number and that's what makes the first choice the right answer.

pls help me give u a brainlest

Answers

Answer:

uhmm. lemme remember how to do that

Answer:

30 in

Step-by-step explanation:

V=Bh

Find the area of the triangle then multiply it by the height of the prism.

An object is launched at 29.4 meters per
second (m/s) from a 34.3-meter tall
platform. The equation for the object's
height s at time x seconds after launch is
f(x) = -4.9x2 + 29.4x+ 34.3, where y is in
meters. What is the initial height of the
object?

29.4 meters
78.4 meters
34.3 meters
3 meters

Answers

Answer:

34.3 meters

Step-by-step explanation:

The generic equation for a movement with constant acceleration is:

S = So + Vo*t + (a*t^2)/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

If we compare with our equation (where x is the time and f(x) is the final distance), we have that:

So = 34.3

Vo = 29.4

a = -9.8

So we have that the inicial position (So) of the object is 34.3 meters

Can someone help me out

Answers

Answer:

m= -5/8

Step-by-step explanation:

Slope of a line containing the points,

[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]

where, m is the slope

Here,

[tex]m = \frac{7 - 2}{4 - 12} = \frac{ 5}{ - 8} = \frac{ - 5}{8} [/tex]

The answer is M= -5/8



A. (7, -2), (4, -1), (3, 0), (4, 1), (7,2)

B. (-2, 1), (-1, 2), (0, 3), (1, 4) (2, 7)

C. (-2, 7), (-1, 4) (0, 3) (1, 4), (2, 7)

D. (1, -2), (2, -1), (3, 0), (4, 1), (7, 2)

Answers

Answer:

the answer is c

all work is pictured

oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many miles would he ride all together?

Answers

Answer:

36 miles

Step-by-step explanation:

(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)

The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5.    [tex]3^{2} + 4^{2} = 5^{2}[/tex]  

9 is 3x3, 12 is 3x4 so the remaining side would be 3x5  15

Add those 3 sides to get the total distance, 36 miles.

Answer:

36

Step-by-step explanation:

Recent statistics state that the average life expectancy for an American is a little over 78 years.
The sentence above refers to
factors that can affect family responsibilities​

Answers

Answer:

189

Step-by-step explanation: cause i had dis question before in england

189 I believe
Step-by-step explanation

What is the unit rate for sukis scrumptious sushi?


A. $4.50 for 1 sushi roll
B. $9.00 for 1 sushi roll
C. $9.00 for 2 sushi rolls
D. $2.00 for 9 sushi rolls

Answers

a. 4.50 for 1 sushi roll
A. 4.50 { 1 sushi roll}

The coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (2, ___). (1 point)

Answers

Answer:

(2,5)

Step-by-step explanation:

If you are flipping a point over the x-axis, multiply the y coordinate by -1, if you are flipping something over the y-axis, multiply the x coordinate by -1.

The coordinates of point B are (2,5)

How does reflection across axis work?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Given that  coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B.

Since flipping a point over the x-axis, then we have to multiply the y coordinate by -1,

And ifyou are flipping something over the y-axis, then we have to multiply the x coordinate by -1.

Therefore, the point B are (2, _5_).

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You randomly draw a marble out of a bag that contains 20 total marbles. 12
What is P (draw a blue marble)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:

The probability of drawing a blue marble is 1 IN 4

Step-by-step explanation:

factor completely 36x2 – 1.

Answers

Answer:

(6x - 1)(6x + 1)

Step-by-step explanation:

36x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

36x² - 1

= (6x)² - 1²

= (6x - 1)(6x + 1)

What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?

Answers

Answer:

8

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

2 times 4 times 8 = 64

What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1

Answers

Answer:

The area is 3.14

Step-by-step explanation:

Get the radius and times it by itself then multiply it by pie and you get 3.14

Which sphere has a volume of 0.288Pi in.3?
A sphere with radius 0.4 inches.
A sphere with radius 0.5 inches.
A sphere with radius 0.6 inches.
A sphere with radius 0.7 inches.

Answers

Answer:

Step-by-step explanation:

Answer in the photo

A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

Volume of a sphere

The volume of a sphere is described as follows:

volume of sphere  = 4 / 3 πr³

where

r = radius of the sphere

Therefore,

volume = 0.288π inches cube

Hence, the radius can be calculated as follows;

0.288π  =  4 / 3 πr³

divide both side by π

0.288 = 4 / 3r³

cross multiply

0.288 × 3 = 4r³

0.864 = 4r³

divide both sides by 4

r³ = 0.864 / 4

r = ∛0.216

r  = 0.6 inches

Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

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What is the f?
f/5 - (-13) = 12

Answers

Step-by-step explanation:

[tex] \frac{f}{5} - ( - 13) = 12[/tex]

[tex] \frac{f}{5} + 13 = 12[/tex]

[tex] \frac{f}{5} = 12 - 13[/tex]

[tex] \frac{f}{5} = - 1 [/tex]

Now cross multiply

Therefore f = -5

Answer:

f= -5

Step-by-step explanation:

f/5-(-13)=12

remove the parenthesis and replace the negative with a positive.

f/5+13=12

multiply all by 5

f+65=60

move constant to the right

f=60-65

subtract 60 to 65

-----------------

f= -5

-----------------

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?

Answers

Answer:

26 miles farther from her trainer

Step-by-step explanation:

She starts her journey at health club,

Ran 24 miles south and then 10 miles west.

The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.

X² = y² + z²

X = her end point

Z = distance between health club 24 miles south. = 24miles

Y = 10 miles distance from the 24 miles south. = 10 miles.

(See attachment for better illustration.)

X² = 24² + 10²

X² = 576 + 100

X² = 676

X = √(676)

X = 26 miles

Jane was 26 miles farther from her trainer

Write (p^3)^2 without exponents

Answers

Answer:

(p³)² is p⁶, which is p·p·p·p·p·p

Hope this helps!

(edit: nevermind, this was in April of 2020)

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the given expression (p³)² can be rewritten as,

(p³)²

= p⁶

= p × p × p × p × p × p

Hence, The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.

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what is a number that when you multiply it by 4 and add 15 to the product you get 28? show your work please

Answers

Answer:2

Step-by-step explanation:

2) A band played an encore at 4 of its last 14 shows. What is the
experimental probability that the band will play an encore at its next
show?
a.2/7
b.3/7
c.4/7
d.5/7​

Answers

Answer:

a. 2/7

Step-by-step explanation:

Please kindly go through the attached file for explanation

Art and PE

--------- Art No Art Total
PE A B C
No PE D E F
Total G H J

300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?

A) 50
B) 75
C) 100
D) 125

Answers

Answer:

A) 50

Step-by-step explanation:

D: Art & No PE

Art - Art&PE

300 - 250

50

Answer:

Answer is 50

Step-by-step explanation:

I just did the test on usatestprep

Thomas wants To find out which sport the entire 8th grade cloth on his school likes best

Answers

Answer:

Ok what are his options?

Step-by-step explanation:

Answer:

Ping Pong

Step-by-step explanation:

dunno

PLEASE HELP!!!!!!
Look at the figure. Find the value of x.


A.) 90


B.) 30


C.) 15


D.) 45

Answers

That is an isosceles triangle, therefore the missing angles equal each other.
The equation to find the value of x is...

3x = 5x - 30
-2x = -30
X = 15

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Answers

Answer:

 The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?

The correct answer is:

The difference is about [tex]\frac{1}{2}[/tex] times the range of the data shown for Johnstown,and about [tex]\frac{3}{8}[/tex] times the range of data for Martinville. (D)

Step-by-step explanation:

From the box plot, it is seen that the following data can be gotten:

Cities                          Range                                    Midian (mid-point)

Johnston                  140 - 80 = 60                                  110

Martinville                 120 - 40 = 80                                  80

Difference in medians = 110 - 80 = 30

now comparing the difference between the median and the ranges of each city, we observe that:

range for Johnston = 60 ; median difference = 30

hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2

hence difference of medians is [tex]\frac{1}{2}[/tex] times the range of Johnston.

Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8

hence the difference of medians is [tex]\frac{3}{8}[/tex] times the range of Martinville.

Answer:  The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:

These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville

Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?

The correct answer is:

The difference is about  times the range of the data shown for Johnstown,and about  times the range of data for Martinville. (D)

Step-by-step explanation:

From the box plot, it is seen that the following data can be gotten:

Cities                          Range                                    Midian (mid-point)

Johnston                  140 - 80 = 60                                  110

Martinville                 120 - 40 = 80                                  80

Difference in medians = 110 - 80 = 30

now comparing the difference between the median and the ranges of each city, we observe that:

range for Johnston = 60 ; median difference = 30

hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2

hence difference of medians is  times the range of Johnston.

Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8

hence the difference of medians is  times the range of Martinville.

Step-by-step explanation:

i need help with this question asap pleaseeeeee

Answers

Answer:

y = 3[tex]\sqrt{7}[/tex]

Step-by-step explanation:

The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = [tex]\sqrt{63}[/tex] = [tex]\sqrt{9(7)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex] = 3[tex]\sqrt{7}[/tex]

You can use the pythagorian theorem here:
The corner on the top side is 90 degrees too. So that means (9+7)^2 = A^2 + B^2. The two triangles against each other are the same, but bigger. That means that the left side is 9/16 out of the whole and the right side is 7/16 out of the whole So back to the pythagorean theorem (9+7)^2 = 256. Multiply that number by one of the two numbers before. I will take 9/16, the left side. 256x9/16 = 144. Take the square root of that, 12, and then you have the length of that side. Then use pythagorean theorem again. C^2 = 9^2 + 12^2
C^2 = 225.
C= 15
Seen as C stands for y, there is your answer

Finish the sentence....

FTC Flight team____________?

Answers

FTC Flight team stand up!

Answer:

Step-by-step explanation:

What it do Flight Crew FTC Flight Team Stand UPPPPPP


Mrs. Hanson bought 1.6 pounds of grapes. The grapes cost $2.50 per pound. How much did
she pay for the grapes?

Answers

Answer:

$4.00

Step-by-step explanation:

Multiply the 1.6 pounds of grapes by the $2.50 per pound.

Answer:

4$

Step-by-step explanation:

Multiply 2.50$ with 1.6 pounds.

You get 4$

It won't cost more than 5$ because there are less than 2 pounds of grapes.

solve for x. 1/15+x=3/10

Answers

Answer:

x=7/30

Step-by-step explanation:

3/10-1/15

Which of these situations could be written as an equation with one variable?

A
Penny picked 35 apples, Ben picked 22 and Sam picked 17. They picked 74 apples all together. Who picked the most apples?

B
Harriet and Lea found 9 four-leaf clovers on the baseball field in all. Harriet found 5 of them. How many clovers did Leah find?

C
There were 45 doughnuts at the snack table today. Tanisha brought 33 of them, and Doug brought 12. Where did Tanisha buy her doughnuts?

D
Lori bought the most T-shirts of anyone in her family. She bought 1 more T-shirt than Thea and 3 more than Pino. How many shirts did Lori buy?

BACK

Answers

Answer:

b

Step-by-step explanation:

Because i dont know I just need points bro

It would be B becuase 9-x=5

P.S x=4

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