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

PLEASEEEEEE HEELLLPPP MEEEE!!!!

Answers

Answer:

the top one is posable oucomes and the the bottom is the other on

Step-by-step explanation:

Answer:

1 fav

2. possible

Step-by-step explanation:

2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm

Answers

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

PLZ HELP! BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!

Answers

-97.7-36.50.06

.. .. ..

Answers:

-97.7-36.50.06

Hope this helps!

--Applepi101

o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл​

Answers

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

What the Sum of Adding the Polynomials.

Answers

Bbb hunk. Junk. Jensen the nonsense

Which fractions are equivalent to the fraction below? Check all that apply.
9/21
A.3/22
B.18/42
C.3/7
D.3/28

Answers

Answer:
B. 18/42
C. 3/7

-2 log5 (7x) = 2........

Answers

Answer:

Answer is x= 1/35

Step-by-step explanation:

......

Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28

Answers

Answer:

3.3 = [tex]3^{2}[/tex] = 9

Step-by-step explanation:

3.3=32=9 is the answer

A number is added to ⅔ of itself.
If the same number is doubled,
write down the final expression.​

Answers

Answer:

4/3

Step-by-step explanation:

⅔ + ⅔ = 4/3

please help me solve 8x+2y=32 and 10x-5y=-20

its solve by subsitution
please include steps and answers

Answers

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

The steps are shown in the picture

PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

HELPPP PLS what is the circumference of 11 , 8 ,and 6 !

Answers

Answer:

C≈34.56, C≈25.13 and C≈18.85

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·11≈34.55752

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·6≈18.84956

Which job here requires the least amount of training and education

A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant

Answers

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

36^x-2=6 solve for x

Answers

Answer:

x = [tex]\frac{in (8)}{in (36)}[/tex]  if you consider doing decimal form x = 0.58027921. . .

Step-by-step explanation:

Take logarithm of both sides of the equation to remove the variable from the exponent.

Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest

Answers

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

y < -23

Notice the change in signs.

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

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!

Which in the following terms mean addition

Answers

Answer:

I think total of is right answer

total of
“of” usually means multiplication

find the area and the circumference of the circle round your answers to the nearest hundredth​

Answers

Answer:

Circumference= 50.27

Area= 201.06

What is the median value of the data set shown on the line plot?

HELP ASAP

Answers

Answer:

Median: 6

Step-by-step explanation:

1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11

half of 22 (total numbers) is 11, on the 11th spot it is 6

What is the slope of the line through (–5,2) and (6,7) in the standard (x,y) coordinate plane?

9
9

5
5

-5
-5

5
11
5 over 11


5
11

Answers

Step-by-step explanation:

[tex]slope = \frac{\triangle \: y}{\triangle \: x} \\ = \frac{(7 - 2)}{(6 - ( - 5))} \\ = \frac{5}{11} \\ slope = (5 ,11)[/tex]

x=5 so what is (x+3)² =​

Answers

(3+x)²

(5+3)²=

8²=

64

.

.

.

.

Answer:

64

Step-by-step explanation:

Since x=5

(5+3)^2

(8)^2= 64

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

Answers

Step-by-step explanation:

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

also

6300

8400

= B= 14056

Answer:

5

Step-by-step explanation:

Calculate the slope , rate of change m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)

m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5

Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96

Answers

664.80
- 200
= 444.80

444.80/5 months = A) 88.96

answer this MATH question thank you :)

Answers

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

Answer:

post a new question so we can talk

Step-by-step explanation:

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:

Answers

Answer:

Total number of candies:

6 + 3 + 5 + 2 = 16

Q1

P(2 red) = 3/16*3/16 = 9/256

Q2

P(a yellow and a blue) = 2/16 * 6/16 = 3/64

Q3

P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.

Answers

Answer:

3rd Answer =Option A is the Correct Answer

Step-by-step explanation:

Hi!

3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.

4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.

Hope this helps! I would appreciate brainliest, if not that's okay!!

Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing? a) Ja’quan read the thermometer wrong b) He must have observed hail falling from thunder clouds c) It was cold enough to allow solid precipitation to fall d) Children were most likely throwing ice Reasoning (explain your answer using science facts) _________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Answer:

b

Step-by-step explanation:

hail can occur at temperatures not too cold and not too hot. since he checked his thermometer and it was warm, it is certainly possible that he saw hail

An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).

Answers

Answer:

Step-by-step explanation:

Putting value of n = 12

f(12) = 128 + 15(12 - 1)

= 128 + 180 - 15

= 293

A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x

Answers

Consider the below figure attached with this question.

Given:

A, B & C lie on a straight line. D, C & E lie on a different straight line.

[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]

To find:

The value of x.

Solution:

A, B & C lie on a straight line.

[tex]m\angle ABD+m\angle DBC=180^\circ[/tex]    (Linear pair)

[tex]y+m\angle DBC=180^\circ[/tex]

[tex]m\angle DBC=180^\circ-y[/tex]

According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex]        (Exterior angle theorem)

[tex]180^\circ-y+z=x[/tex]

[tex]180^\circ-117^\circ +63^\circ =x[/tex]

[tex]126^\circ =x[/tex]

Therefore, the value of x is 126 degrees.

Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).

Answers

Answer:

0.068% or 6.8% this will be your final answer

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