Find the length of the arc . Round your answer to the nearest hundredth

Find The Length Of The Arc . Round Your Answer To The Nearest Hundredth

Answers

Answer 1

Answer:

Step-by-step explanation:

Because angle NRM is vertical to angle QRP, they are congruent. That means that arc NM is congruent to arc PQ, making arc MQ and arc NP congruent. That means that arc NP is also 162. Since the outside of a circle measures 360 regardless of how big or small the circle is, we can find the measures of arcs MN and PQ by doing some simple math.

Arc MN = Arc PQ = 360 - 162 - 162 = 36 and divide that in half to get

Arc MN = Arc PQ = 18°. As we all know, the measure of a central angle is congruent to the measure of the arc it intercepts, so the measure of angle NRM is 18°. That gives us the angle we need for the formula:

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the measure of the central angle, 18°:

[tex]AL=\frac{18}{360}(3.1415)(8)[/tex] which gives us

AL = 1.26 feet (Note: arc length is in distance measures, like feet, inches, meters, etc., while arc measure will always be in degrees!)


Related Questions

Guys i need a little help pls ( 10 points )

Answers

Answer:

A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.

Step-by-step explanation:

10÷50=.20

what is 5 to the 4th power

Answers

Answer:

625

Step-by-step explanation:

5 times 5 is 25. 25 times 5 is 125. 125 times 5 is 625. Notice how I multiplied 5 repeatedly 4 times.

Answer:

625

Step-by-step explanation:

5 x 5 (=25) x 5 (=125) x 5 = 625

Hope this helps :)

A banquet room is being carpeted. A floor plan of the room is shown below. Each unit represents 1 yard. The carpet costs $23.50 per square yard. How
much will is cost to carpet the room?
Area of the parallelogram -
square yards
Area of the rectangle =
square yards
Are of the triangle =
square yards
Area of the floor
square yards
Total cost of the carpet = 5

Answers

Answer: $775.50

explanation: I just looked it up and another website had the same question but also had the answer

UV has a midpoint at M(6, 3). Point U is at (3, 8). Find the coordinates of point V.

Answers

Answer:

V(9, -2)

Step-by-step explanation:

U (3,8); M(6,3); V(?,?)

To go from point U to point M we went down 8-3=5 units, and to the right from 3 to 6 so 6-3=3 units. Here we got half way of the line UV so continue 5 units down and 3units right to get to V(9, -2)

U (3, 8); M(3+3= 6, 8-5= 3); V(6+3 =9, 3-5= -2)

Find the area of the figure.
15.2 ft
11.4 ft
7.6 ft
19 ft
The area is
square feet.

*help fast

Answers

Answer:

231.04 ft²

Step-by-step explanation:

Area triangle = 1/2( 11.4 * 15.2)

Area triangle = 1/2( 173.28 )

Area triangle = 86.64 ft²

Area rectangle = 19 x 7.6

Area rectangle = 144.4 ft²

Area total = 86.64 ft² + 144.4 ft² = 231.04 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the answer to this question

Answers

Answer:

y = 1/4x

Step-by-step explanation:

answer please help please

Answers

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

Simplify the radical expression.

Answers

Answer:

[tex]xy^3 \sqrt[4]{y^3}[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^b+a^c=a^{(b+c)}[/tex].

We can use this property to break the problem down:

[tex]\sqrt[4]{x^4y^{15}}=\sqrt[4]{x\cdot x\cdot x\cdot x\cdot y^3\cdot y^3\cdot y^3\cdot y^3\cdot y^3}=\boxed{xy^3 \sqrt[4]{y^3}}[/tex]

Answer:

[tex]xy^3\sqrt[4]{y^3}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{x^4y^{15}} =\sqrt[4]{x^4}*\sqrt[4]{y^{15}}\\\\=x\sqrt[4]{y^{15}}\\\\=x(\sqrt[4]{y^{12}} *\sqrt[4]{y^3})\\\\=xy^3\sqrt[4]{y^3}\\\\\\\sqrt[4]{y^{12}} =y^{12/4}=y^3 \\\\\sqrt[4]{x^4} =x^{4/4}=x[/tex]

What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169
A (2, 7)
B (-2, -7)
C (2, -7)
D (-2, 7)

Answers

Answer:

The center is (2, -7)

Step-by-step explanation:

A circle is given by

(x-h)^2 + (y-k)^2 = r^2

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y -  -7)^2 =13^2

The center is (2, -7) and the radius is 13

What is the equation of a circle with a center (7, -3) and radius 4?

Answers

Answer:

see screenshot

general formula is

r² = (x - x-center)² + (y - y-center)²

Please I need help ASAP

Answers

Answer:

78.54

Step-by-step explanation:

[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]

1. Write down the 3D shape each net make.

D to g.​

Answers

Answer:

Step-by-step explanation:

D) Has a five sided shape as a base so its a pentagon-based pyramid

E)Two pentagons and retangular sides Pentagonal Prism

F)All sides and bases are rectangular so Rectangular Prism

G) Eight sided base and triangle shaped sides, Octogon-based Cone

pls help in the middle of my final lol

Answers

Answer:

b) 2

Step-by-step explanation:

both angles have the same values, they are technically opposites.

Set your formula up as

130 = 66x - 2

130 + 2 = 66x

132/66 = x

2 = x

PLEASE HELP ME ASAP THANK YOU

EXPLANATION = BRAINLIEST

A pyramid has a base that is a right triangle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.

The volume of the pyramid is ___ cubic cm.

Answers

Answer:

[tex]V=210\ cm^3[/tex]

Step-by-step explanation:

The legs measuring 10 cm and 14 cm.

The height of the pyramid is 9 cm.

We need to find the volume of the pyramid. The formula for the volume of a right pyramid is given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Where

B is area of base,

[tex]B=\dfrac{1}{2}\times 10\times 14=70\ cm^2[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 70\times 9\\\\V=210\ cm^3[/tex]

So, the volume of the right pyramid is equal to [tex]210\ cm^3[/tex].

Seven times a number minus the number is -48. Find the number.

Answers

Answer:

-8

Step-by-step explanation:

(7)*(-8) = -56

(-56) - (-8) = -48

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The trapezoid is enlarged by a scale factor of 3, what is the area of the scaled copy?

Answers

Answer:

Step-by-step explanation:

After enlargement,

Parallel  sides are: 6*3 = 18 cm  & 10*3 = 30cm

Altitude = 5 *3 = 15 cm

Area =[ (sum of the length of parallel sides)*height] ÷2

      [tex]= \frac{(18+30)*15}{2}\\= \frac{48*15}{2}\\\\= 24 *15\\\\= 360[/tex]

Answer:

360 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 5 , b₁ = 10, b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (10 + 6) = 2.5 × 16 = 40 cm²

Enlarging by a scale factor of 3 means the area is increased by a factor

3² = 9

area of scaled copy = 9 × 40 cm² = 360 cm²

what is the equation of the line that is perpendicular to the line y = − x / 5 + 4 / 5 and passes through the point ( − 3, 4 )?
pls answer quickly.

Answers

line y = − x / 5 + 4 / 5

slope( m1) = -1/5

Slope of required line( m2) = 5

[as it is perpendicular to given eqn of line

m1×m2= -1

m2=1/m1= 5]

y-4= 5(x+3)

y-4=5x+15

y=5x+19

-2/3 × -7/5
please answer... i will follow the person who hives the ryt answer ​

Answers

Answer:

14/15 :]

Step-by-step explanation:

you dont have to follow me buts its appreciated!

What is the quotient of Negative StartFraction 3 over 8 EndFraction and Negative one-third?

Answers

Answer:

6

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

I took the test :)

Can someone help me figure out what goes in the blank squares

Answers

Answer: ik the second one

Step-by-step explanation: every month you have to add 500 dollars .

Amount of money owed

1 = 500

2 = 1000

3 = 1500

etc

Which expression is equivalent to this expression?
11
6
613
610
616
619

Answers

Answer:

6^10

Step-by-step explanation:

6^2 * 6^11

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

6^3

First simplify the numerator.  We know a^b*a^c = a^(b+c)

6^(2+11)

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

6^3

6^(13)

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

6^3

Then a^b / a^c = a^(b-c)

6^(13-3) = 6^10

Answer:

6^10

Step-by-step explanation:

To solve this you need to remember 2 things.

First off, multipication is addition with exponents.

And secondly, division is subtraction with expoinents.

So on the top we have 6^2*6^11

So this is really 6^11+2

=

6^13

Now we need to divide by 6^3:

6^13/6^3

And this would tecnically be:

6^13-3

=

6^10

So the expression 6^10 is your answer.

Hope this helps!

find x answer fast please

Answers

Answer:

x=20

Step-by-step explanation:

Since AB is a line it forms 180,

Set your formula up as

180=60+4x+40

180-60-40=4x

80=4x

80/4=x

20

Divide: (12x - 6) by 3 go​

Answers

Answer:

Step-by-step explanation:

12x-6/3

=12x/3 - 6/3

=4x-2

or

12x-6/3

take 6 common

6(2x-1)/3

2(2x-1)

4x-2

Answer:

4x -2

Step-by-step explanation:

(12x - 6) / 3

= 6 common

= 6(2x-1)/3

= 2(2x-1)

= 4x-2

Hope this answer helps you :)

Have a great day

Mark brainliest

What is the area of the figure ? Round to the nearest whole number.

A. 72 in.2
B. 55 in.2
C. 60 in.2
D. 42 in 2


Correct answer will get 50 points Please answer ASAP!!

Answers

Answer:

55 sq. in.

Step-by-step explanation:

Area of figure

= area of triangle + area of rectangle

height of triangle = 6 in.

base of triangle = 6/(sqrt(3)/3) = 18/sqrt(3)

Area of triangle = 6*18/sqrt(3) /2 = 54/sqrt(3) = 31.18 sq. in.

Area of rectangle = 6 * 4 = 24 sq. in

Area of figure = 31.18+24 = 55.18 sq. in

[tex]55[/tex]

The answer is b

RAMS SALARY IS 20% MORE THAN MOHAN'S. IF MOHAN'S SALARY IS Rs. 200 THEN WHAT IS THE SALARY OF RAM?
a. Rs.180
b. Rs.240
c. Rs.220
d. Rs.320​

Answers

Step-by-step explanation:

RAMS SALARY=RS.200×20%

=40+200

=RS.240.00

ANSWER IS OPTION B

Eliana travels at an average speed of 50 mph for 60 miles. Without stopping, Eliana then travels 130 miles in 2.5 hours. Find her average speed for the entire journey to 2 dp.

Answers

Answer:

102 mph

Step-by-step explanation:

Eliana travels at an average speed of 50 mph for 60 miles.

Without stopping, Eliana then travels 130 miles in 2.5 hours.

We calculate the speed here

Speed = Distance in miles /Time in hours

Speed = 130 miles/2.5 hours

= 52 miles per hour

Hence, her average speed for the entire journey is calculated as:

50 mph + 52 mph

= 102 mph

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form. The probability is .

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

As the six-sided number cube had six sides, there are six events which could occur. There is only one interger less than 2 (1), therefore the probability of rolling a number less than 2 is [tex]\frac{1}{6}[/tex].

There are two events which could occur when flipping a coin. This means the probability of flipping heads is [tex]\frac{1}{2}[/tex].

To find the probability of both of these happening, you must multiply the fractions together by multiplying together both the denominators and numerators, therefore:

[tex]\frac{1}{6}[/tex] ×  [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{18}[/tex]

Answer:

1/12

Step-by-step explanation:

There is only one number less than two, which is 1, so you have 1/6 chance of getting a number less than two

Since a coin has two sides, you have 1/2, or 50% chance of landing on heads

If you multiply both of them, which is 1/6 times 1/2, you will get 1/12, since 1 times 1 is still 1, and 6 times 2 is 12.

the diameter of a circle is 20 meters . What is the area ?

Answers

Answer:

40m

Step-by-step explanation:

if 20 it the diameter then the daius is 10 which is multiplied by 4

Answer:

100pi m or approximately 314 m^2

Step-by-step explanation:

We need to find the radius to find the area

r = d/2 = 20/2 = 10

The area of a circle is

A = pi r^2

A = pi (10)^2

A = 100 pi  m^2

If we approximate pi by 3.14

A = 100*3.14

A = 314 m^2

Please help! Need answer asap

Answers

Answer:

h > 2                   or  h < 1

Step-by-step explanation:

|2h-3| >1

Solve 2 inequalities

2h-3 > 1  or 2h-3 < -1  (remembering to flip the inequality for the negative solution)

2h-3 > 1      or 2h-3 < -1

Add 3 to each side

2h-3+3 > 1+3  or 2h-3+3 < -1+3

2h>4              or    2h < 2

Divide by 2

2h/2>4/2              or    2h/2 < 2/2

h > 2                   or  h < 1

In the diagram below, lines h and s are parallel. If the m∠2 = 70°, what is the angle measurement of m∠3?
A. 70
B. 130
C. 7
D. 110

Answers

Answer:

A

Step-by-step explanation:

Geometry

The answer is A, due to 3 and 2 being vertical.

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