A door is fixed at the point O. Ben opened it by an angle of 30°. The area swept by the door was {25}{12}\pi\

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

Area swept by the floor will be the area ofd a sector

Area of a sector = theta/2π * πr²

We are to find the radius r

Given

Area=  25π/12

theta = 30° = π/6

Substitute

25π/12 = 30/360 * πr²

25π/12 = 1/12 * πr²

25/12 = r²/12

r² = 25

r = √25

r = 5

Hence the radius od the part swept by the door is 5 units


Related Questions

Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following:

What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?

A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3; 2/9

Step-by-step explanation:

A truck produces 22 pounds of carbon dioxide for every gallon of diesel fuel burned. The fuel economy of the truck is 18 miles per gallon. Write and graph a function that describes the relationship between carbon dioxide produced and distance traveled.

Answers

Answer:

22 pounds of carbon dioxide

18 miles per gallon

What side lengths form a right triangle?

Answers

Answer:

6, 8, and 10

Step-by-step explanation:

For a set to represent the side lenghts of a right triangle, square value of hypotenus must be equal to sum of square value of other two side lenghts

the set that meet these requirment is

10^ = 6^2+8^2

100 = 36 + 64

Answer:

its 2,3 and 4 its the correct answer

#CARRY ON LEARNING

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5} 5 2 ​ start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8} 8 3 ​ start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?

Answers

Answer:

2/5*0=0

Step-by-step explanation:

i did it on khan

What is the measure (in radians) of central angle o in the circle below? 4 cm o 6 cm​

Answers

Answer:

the answer it will be 4cm

Answer: 1.5

Step-by-step explanation:

Khan academy

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 15
Green 6
Yellow 5
Purple 8
Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.

Answers

Answer:

The probability that the next spin will land on blue is 0.12.Step-by-step explanation:

The result of the several spins are as follows:

Color           Frequency

Red                  18

Blue                   9

Green               18

Yellow              19

Purple               12

TOTAL             76

Compute the probability that the next spin will land on blue as follows:

Thus, the probability that the next spin will land on blue is 0.12.

Addison made some chilli with 3/4 of a can of black beans and 5/8 of a can of pinto beans. How many cans of beans did addison use in all?​

Answers

Answer:

1 3/8 Cans

Step-by-step explanation:

When you have unlike denominators, Find the Least Common Denominator.

LCD: 8

Multiplying numerators and denominators to get the LCD in all fraction denominators

3 x 2

____             +  5/8

4 x 2

Then you need to re-write the equation with the equivalent fractions.

6/8 + 5/8

Simplify your answer

11/8 = 1 3/8

Someone answer this please

Answers

Answer:

The answer is -72/5.... also as 14.4

Answer:

Step-by-step explanation: first put in the value for x, 8(-6) -5y=24

Then solve from there, 8x-6= -48

-48-5y=24

-5y=24+48 ( becomes pos when transferred to this side, since it turns to the opposite direction )

Now, -5y=72

Decide both sides by -5 and then

Y = -14.4 or -14 2/5

What is the result of 36 divided by 9? Use the number line to find the answer.

A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line.
3
4
6
12

Answers

Answer:

4!

Step-by-step explanation:

Answer:

4 is your answer

Step-by-step explanation:

7 Simplify the expressionby
combining like terms

3g+ 21439 +40 +41 =

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{3g + 21,439 + 40 + 41}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{(21,439 + 40 + 41) + (3g) }[/tex]

[tex]\large\textsf{21,439 + 40 + 41}\\\large\textsf{21,439 + 40 = \bf 21, 479}\\\large\textsf{21,479 + 41}\\\large\textsf{= \bf 21,520}[/tex]

[tex]\large\textsf{3g = \bf 3g}[/tex]

[tex]\large\textsf{= \bf 3g + 21, 520}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 3g + 21,520}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help! For math.

Answers

Answer:

Soln:

x=64(vertically opposite angle)

x=64

Now,

y=18(vertically opposite angle)

y=18

Again,

y+z+x=180(being straight angle)

or,18+z+64=180

or,82+z=180

or,z=180-82

orz=98

Hence the value of x=64, y=18and z=98.

Ike's igloo sold 501 ice cream cones today.They sold half as many chocolate ice cream cone as vanilla ones. How many of each were sold?

Answers

Answer:

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Step-by-step explanation:

Let

The number of Chocolate cones = x

Vanilla cones = y

Ike's igloo sold 501 ice cream cones today.

x + y = 501.... Equation 1

They sold half as many chocolate ice cream cone as vanilla ones.

x = 1/2y

x = y/2

Cross multiply

y = 2x

We substitute 2x for y in Equation 1

x + 2x = 501

3x = 501

x = 501/3

x = 167

Solving for y

y = 2x

y = 2 × 167

y = 334

Therefore,

The number of

Chocolate cones = x = 167 cones

Vanilla cones = y = 334 cones

Solve For X. Helppp!

Answers

Answer:

x = 64

Step-by-step explanation:

The 3 angles on the right lie on a straight line and sum to 180° , that is

90 + x + 26 = 180

x + 116 = 180 ( subtract 116 from both sides )

x = 64

Answer:

64

Step-by-step explanation:

You have to do 90 - 26, which will then give you the answer 64

Double check it: 26 + 64 = 90.

Ke'Andre joined the swim team. His high dive jump is modeled by the following equation: f(x) = -16x² + 24x +6.​

Answers

answer

46x^

I HOPE IT'S HELP

What is the y-Intercept of this graph?
y
12
8
4
0
х
0
4 8 12
оо
O 2
O
4
O 8

Answers

Answer: 0

Step-by-step explanation: the graph intercepts the y axis at the vertex of this specific graph which is (0,0)

Answer:

ok

Step-by-step explanation:

Give two real world examples of a "sector" of a circle.

Answers

Answer : One of the most common real-life examples of the area of a sector is a slice of a pizza. The shape of slices of a circular pizza is like a sector. A pizza of 7 inches radius is sectioned into 6 equal slices as shown in the below figure. Each slice is a sector.

Step-by-step explanation:

module 7 lesson 14 quiz

Answers

Answer:

whats the question?

Step-by-step explanation:

theres no question-

simplify this for me please!! Thanks

Answers

I think I can get the answer but I’ll leave this here so I can comment it

Answer: [tex]3^{9}[/tex]

Explanation:

When the base is the same and the terms are being divided, you subtract the exponents and leave the base as it is:

12 - 3 = 9

[tex]3^{9}[/tex]

1/5 + 1/6 in fraction formm

Answers

11/30 because you do it yeah totally

An angle measures 46°. What is the measure of its complement?


(b) An angle measures 82°. What is the measure of its supplement?

Answers

Answer:

The complement of 46° = 44°

The supplement of 82° = 98°

Step-by-step explanation:

Complement means 90° - the angle (46°).

So, 90° - 46° = 44°

Supplement means 180° - the angle (82°)

So, 180° - 82° = 98°

The complement of 46° = 44°

The supplement of 82° = 98°

Complementary angles

Complementary angles are two angles that have a sum of 90°.

Supplementary angles

Supplementary angles are two angles that have a sum of 180°.

According to the question

a. An angle measures 46°.

The measure of its complement :

The meaning of complementary angle is two angles that add up to 90 degrees.

Complementary angles = sum of two angles = 90 degrees.

x° = y° + z°

90° =  y° + z°

Given y° = 46°

z° = 90° -  y°

z° = 90° -  46°

z° = 44°

The measure of its complement is 44°.

b. An angle measures 82°.

The meaning of supplementary angle is two angles that add up to 180 degrees.

Supplementary angles = sum of two angles = 180 degrees.

a° = b° + c°

180° =  b° + c°

Given  b° =  82°

c° = 180° -  b°

z° = 180° -  82°

z° = 98°

The measure of its supplement is 98°.

Find out more information about complementary and supplementary angles here

brainly.com/question/2882938

#SPJ2

find the solution of given expression

[tex] \sqrt{100 \times 16} [/tex]

Answers

Answer:

[tex] \sqrt{100 \times 16} [/tex]=[tex] \sqrt{10² \times 4²} [/tex]=±(10×4)=±40 is your answer

1.9h + 42.9 > 65.7
solve for h

Answers

Answer:

h > 12

Step-by-step explanation:

have a good day!! :)

Answer:

H>12

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "65.7" was replaced by "(657/10)". 3 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               (19/10)*(h)+(429/10)-((657/10))>0

Step by step solution :

STEP

1

:

           657

Simplify   ———

           10

Equation at the end of step

1

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

2

:

           429

Simplify   ———

           10

Equation at the end of step

2

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

3

:

           19

Simplify   ——

           10

Equation at the end of step

3

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

4

:

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

19h + 429     19h + 429

—————————  =  —————————

   10            10    

Equation at the end of step

4

:

 (19h + 429)    657

 ——————————— -  ———  > 0

     10         10

STEP

5

:

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(19h+429) - (657)     19h - 228

—————————————————  =  —————————

       10                10    

STEP

6

:

Pulling out like terms :

6.1     Pull out like factors :

  19h - 228  =   19 • (h - 12)

Equation at the end of step

6

:

 19 • (h - 12)

 —————————————  > 0

      10      

STEP

7

:

7.1    Multiply both sides by  10

7.2    Divide both sides by  19

Solve Basic Inequality :

7.3      Add  12  to both sides

            h > 12

Inequality Plot :

7.4      Inequality plot for

        1.900 X  - 22.800  >  0

 

Find the first four terms of the sequence, an = 4 − 2n

Answers

Answer:

2, 0, -2, -4

Step-by-step explanation:

an = 4 − 2n

a1 = 4 - 2(1) = 2

a2 = 4 - 2(2) = 0

a3 = 4 - 2(3) = -2

a4 = 4 - 2(4) = -4

Answer:

(2, 0, -2, -4)

Step-by-step explanation:

a(1) = 4 - 2(1)

= 4 - 2

= 2

a(2) = 4 - 2(2)

= 4 - 4

= 0

a(3) = 4 - 2(3)

= 4 - 6

= -2

a(4) = 4 - 4(4)

= 4 - 8

= -4

y= -5x +10
y= -2x-2
solve by substituions

Answers

Answer:

x = 4, y = -10

Step-by-step explanation:

if both expressions equal 'y' then you can solve by setting them equal to each other:

-5x + 10 = -2x - 2

-3x + 10 = -2

-3x = -12

x = 4

find 'y':

y = -5(4)+10

y = -20 + 10

y = -10

What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)

Answers

the answer is 7.536 cm

13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)

Answers

Answer:

i dont know the language  .................

Step-by-step explanation:

DONT SEND LINKS Find the value of y given the value of x:


Y=7x, x=-5

Answers

Answer:   x = -5

Step-by-step explanation:

Solve equation [2] for the variable  x

Plug this in for variable  x  in

Solve equation [1] for the variable  y  

The answer is -35. To find this, just multiply -5 and 7.

Please help me with this one!!

Answers

Answer:

1/18 simplified or in this case 2/36 (The first option)

Step-by-step explanation:

Well there are 36 outcomes of 2 dice rolls. Only 2 of them will get you 3, 1 and 2 and 2 and 1. So 2/36

What is the slope of a line perpendicular to the line with equation y = 5x – 2?


5


−15


–2


–5

Answers

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

Please help with this question.

Answers

Answer:

45 in³

Step-by-step explanation:

LxWxH = V

length x width x height = Volume

5 x 3 x 3 = 45

Answer:

45 inches

Step-by-step explanation:

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