What is the approximate area of a 120° sector of a circle whose radius is 6 ft? Use 3.14 for π . 37.68 ​ ft2 ​ ​​6.28 ft2 ​​ ​​20 ​ ft2 ​ 33.6 ​ ft2 ​

Answers

Answer 1
The area of the sector is 12π units².
Answer 2
The answer to the question is 12 pi

Related Questions

Which expression is equivalent to 0.2n+2n+4

Answers

Not sure if there was supposed to be a list, but here is one expression that is equivalent. 2.2n+4. Since all I did was add like terms, I can come upon an equivalent expression.

Answer: The expression that is quivalent to to 0.2n + 2n + 4 is

2.2n +4

Hope this helped! -mojo jojo x

A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.   Living room Kitchen Office Bedroom Bedroom Bathroom Actual l w (ft.) 20 8 16 16 8 16 8 16 20 20 6 8 Blueprint l w (in.)

Answers

we know that
scale------------> 1 in/4 ft
[blueprint]=scale*[actual]

Part 1)  Living room 
lenght (20 ft)  -------------> [blueprint]=(1/4)*20=5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

Part 2) Kitchen   
length (16 ft)  -------------> [blueprint]=(1/4)*16=4 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 3) Office   
length (8 ft)  -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 4) Bedroom 1   
length (8 ft)  -------------> [blueprint]=(1/4)*8=2 in
width (16 ft) ----------------> [blueprint]=(1/4)*16=4 in

Part 5) Bedroom 2   
length (20 ft)  -------------> [blueprint]=(1/4)*20=5 in
width (20 ft) ----------------> [blueprint]=(1/4)*20=5 in

Part 6) Bathroom   
length (6 ft)  -------------> [blueprint]=(1/4)*6=1.5 in
width (8 ft) ----------------> [blueprint]=(1/4)*8=2 in

see the attached figure to view the table

The dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

  Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

  Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).

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How can I write an expression for: susan has 10 apples and 6 oranges. How many pieces of fruit does she have?

Answers

You could let apples equal a and oranges equal o. Then it would be 10a+6o

Simon sold bottles of water at the marathon on Saturday for $0.75 per bottle. He sold 43 bottles. How much money did he earn?

Answers

.75 × 43=32.25
.75 is the price per bottle and Simon sold 43

A right triangle ABC is shown below:



The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide.

Answers

Each diagonal divides the rectangle divides it into two congruentright triangles so the area of the triangle will equal one half of a rectangle that is 5 units long and 2 units wide

Hello, I need help with my geometry homework. It has to do with simplifying radicals and sin,cos, and tan. Thank you for your time and consideration.

Answers

the height is probably 10.

To make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city. The scale used was 1 inch = 15 feet. The actor is 60 inches tall. How tall does the monster appear in the movie?

Answers

The answer is 60*15, or 900 feet.
Hey Friend!

To get your answer, you can simply do 60*15.
Which comes out to a product of 900 inches tall.

So for your answer you can put either 60*15, or 900 feet.

Hope I helped, and good luck!

~Vinny


Helen's Shop is 60 meters wide and 80 meters long. The parking lot in front of Helen's Shop is twice as long as it is wide and is 50 meters wide. What is the sum of the area of Helen's Shop and the parking lot? _____ square meters

Answers

The area of Helen's shop is 4800 meters squared because 60 times 80 is equaled to 4800.
If the parking lot is two times long as it is wide and has a width of 50 meters, we should know that if we multiply 50 times two we should get the length of the parking lot which is 100 meters.
We then need to multiply 100 times 50 to find the area of the parking lot. 100 times 50 equals 5000. So, the area of the parking lot is 5000 meters squared.
To find the total of the store's area plus that parking lots area, add the area we got for the store to the area we got for the parking lot. When you add 4800 plus 5000 you should get 9800 meters.
So, the sum of the area of Helen's shop and the parking lot is 9800 meters squared.

how do i solve log (×)6=4

Answers

Re-write the question like this

6 = [tex] x^{4} [/tex]
x = [tex] \sqrt[4]{6} [/tex]
x = 1.565

In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.

Answers

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

[tex] \frac{zw}{6}= \frac{18}{24}\\ \\ ZW=6*\frac{18}{24}\\ \\ ZW=\frac{18}{4}\\ \\ ZW=4.5\\ [/tex]

Hence ZW=4.5 Inches.

Answer:

4.5

Explanation:

Got it right on Imagine math.

Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost?

Answers

$54.48 because 24 x 2.27 = 54.48

A certain human red blood cell has a diameter of 0.000007 meters.Write an expression that represents this diameter, in meters in scientific notation. Equation

Answers

By definition we have to:
 Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large or too small to be written in a conventional manner.
 The use of this notation is based on powers of base 10.
  A number written in scientific notation follows the following pattern:
 [tex]m * 10 ^ e [/tex]
 The number m is called "mantissa" and e the "order of magnitude"
 For this case we have:
 0.000007
 Using the definition, we have that the measure of the diameter in scientific notation is:
 [tex]0.000007 = 7 * 10 ^ {-6} [/tex]
 Answer:
 
An expression that represents this diameter, in meters in scientific notation is:
 
[tex] 7 * 10 ^ {-6}[/tex]

dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, jake. while playing, Jake lost two marbles and has only 7 marbles at present. find how many marbles did Dalai have in all

Answers

Answer:

Dalai have 45 marbles.

Step-by-step explanation:

Consider the provided information.

Dalai bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. while playing, Jake lost two marbles and has only 7 marbles at present.

Let x is the number of marbles Dalai have.

She divide x number of marbles into 5 equal part (Four of friend and her brother)

That means each of them have [tex]\frac{x}{5}[/tex] marbles.

Jake lost two marbles out of [tex]\frac{x}{5}[/tex] and now he has only 7 marbles,

This can be represented as:

[tex]\frac{x}{5}-2=7[/tex]

Solve the equation for x.

[tex]\frac{x}{5}=7+2[/tex]

[tex]\frac{x}{5}=9[/tex]

[tex]x=45[/tex]

Hence, Dalai have 45 marbles.

bailey and ella are employees for a company. bailey is making a salary or $22,776. bailey is earning a salary this is 48% lower that the salary of ella. what salary is ella earning?

Answers

 100% - 48% = 52% 
52% = 22776
1% = 438
100% = 438 x100 = $43800

h + j (j - h); use h=2, and j=6

Answers

First plug in all the numbers: 2+6 (6-2)
Then do the stuff in the parentheses: 6-2=4
All you have left to do is 2+6+4=12
Answer: 26

Remember: PEMDAS
arenthesis 
xponents
ultiplication (left to right)
ivision (left to right)
ddition (left to right)
ubtraction (left to right)


h + j(j - h)              Substitution
2 + 6(6 - 2)           Parenthesis         
2 + 6(4)                 Multiplication
2 + 24                   Addition
26                         Answer!

Which division expression is equivalent to

Answers

Hi Swaggsville, 

(4 1 / 3) / (- 5 / 6)
= (4 x 3 / 3 + 1 / 3) / (- 5 / 6)
= (12 / 3 + 1 / 3) / (- 5 / 6)
= (13 / 3) / (- 5 / 6)

ANSWER = A

Answer:

the answer would be A

Step-by-step explanation:

I hope  this is helpful

Max has 3/4 of a pitcher filled with fertilizer. If it takes 1/8 of a pitcher of fertilizer to cover a rose garden, how many rose gardens can Max cover?

Answers

The best way to solve equations with fractions is to get a common denominator. So, 3/4 will become 6/8 and 1/8 will stay. Now we can solve: when dividing fractions with common denominators, it is easy to just find how many times the smaller one fits into the larger one. So, 1/8 goes into 6/8 six times. In conclusion, the answer is 6 rose gardens.
6 is the answer to the question you gave.


match the following Match the inequality to its graph. 20 points and brainiest.

Answers

6)C
7)A
8)D
9)B
explanation is ready if necessary

The following inequality are matched with their graphical solution;

6. 4y + 3 ≤ y + 6. graph C

7. -2y > 2. graph A

8. y/3 < -1. graph D

9. 3y < 2y + 3. graph B

How to solve inequality?

6.

4y + 3 ≤ y + 6

Combine like terms

4y - y ≤ 6 - 3

3y ≤ 3

Divide both sides by 3

y ≤ 3/3

y ≤ 1

7.

-2y > 2

Divide both sides by -2

y < 2/-2

y < -1

8.

y/3 < -1

cross product

y < -1 × 3

y < -3

9.

3y < 2y + 3

Subtract 2y from both sides

3y - 2y < 3

y < 3

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At a health club, 60% of the members are men and 40% of the members are women. The average age of the men is 32 years. The average age of the women is 28 years.

What is the average age of all the members of the health club?



Enter your answer as a decimal in the box.


_ years

Answers

60% of the members are men and average age of men is 32 years old.
⇒ 60% of the members are 32 years old.

40% of the members are women and the average age of women is 28 years old.
⇒ 40% of the members are 28 years old.

Average age = 0.6 x 32 + 0.4 x 28 
Average age = 19.2 + 11.2
Average age = 30.4

Answer:

The average age is 30.4.

Step-by-step explanation:

A 6- foot tall man is standing near a tree on level ground as shown if tha man is shadow is 4 feet how many feet tall man

Answers

Is this like a trick question it clearly tells u he's 6 foot tall

Can someone please help me with number 35

Answers

Using the properties of exponents, the expression is simplified as (4/3)x⁵y².

What is the simplification of the expression?

To simplify the given expression, we need to use properties of exponents

Taking the numerator;

[(2x³y)⁴] = (2⁴)(x³)⁴(y)⁴ = 16x¹²y⁴

Next, let's simplify the denominator:

3x²(4x⁵y²) = 3 * 4 * x² * x⁵ * y² = 12x⁷y²

This can be expressed as;

[(2x³y)⁴] / [3x²(4x⁵y²)] = (16x¹²y⁴) / (12x⁷y²)

Take the common factors and divide both of them;

(16x¹²y⁴) / (12x⁷y²) = (4/3)(x¹² / x⁷)(y⁴ / y²) = (4/3)x¹²⁻⁷y⁴⁻² = (4/3)x⁵y²

Therefore, the simplified expression is (4/3)x⁵y².

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Question 1
7.5 meters

9.5 meters


19.1 meters


30.0 meters

Question 2 (2 points)

8.64 inches


5.94 inches
Question 3
 (2 points)
 A pond is shaped like a circle. The diameter of the pond is 100 yards.Mary ran along the edge of the pond to the opposite side.Chuck swam straight across the pond to the opposite side.

Which statement best compares the distances Mary and Chuck moved?

Question 3 options:Mary ran about 6 times the distance Chuck swam.Mary ran about the same distance as Chuck swam.Mary ran about 3 times the distance Chuck swam.  Mary ran about 1.5 times the distance Chuck swam.  Save


8.80 inches


4.32 inches

Question 4

127.2 centimeters


28.3 centimeters


14.1 centimeters


63.6 centimeters
Question 5 (2 points) 

The circumference of a circular tabletop is 72 π π inches. What is the area, in square inches, of the tabletop?

Question 5 options:1296144π{36π{5185 π

Answers

Hello,
Please, see the detailed solution in the attached files.
Thanks.

How many kiloliters are in 32,500 centiliters

Answers

0.325 Kiloliters

(Sorry If It's Wrong!)
KL = cl / 100000

KL = 32500 / 100000

KL = .325

What value would make lines l and m parallel

Answers

In order for l and m to be parallel, x° must be the supplement to the sum of 50° and 55°.

x° = 180° -50° -55°
x° = 75°

The 1st choice is appropriate.
From vertical angles, we know that the angle directly opposite from the 50 degrees is equal to 50 degrees.
55+50=105
x and 105 and supplementary angles because they are corresponding angles.
x+105=180
x=75

75 degrees

ASAP WILL GIVE BRAINIEST


Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice, how much sugar should she use?

Answers

3 cups of lemon juice is 3/4 of the recipe
sugar = 3/4 x 3 =  2 1/4

 2 1/4 cups of sugar is needed

A bookcase measures 13 feet wide and 24 feet tall wat wood the bookcases measurements be on the scale drawing using the scale 3cm:2 ft

Answers

Measurement of the bookcase on the scale drawing using the scale 3cm:2 feet is width =19.5 cm and height = 36 cm

What is Scaling?

Scaling an object means multiplying every linear dimension of it by the same factor

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

Width of the bookcase = 13 feet

Height of the bookcase = 24 feet

Given scale is 3cm : 2 feet

Therefore for 1 feet = 1.5 cm

Then,

Width of the bookcase = 13×1.5= 19.5 cm

Height of the bookcase = 24×1.5= 36 cm

Hence, the measurements of the bookcase after scaling is width =19.5 cm and height = 36 cm

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Explain and justify which plan would best suit her needs.
a.
Samantha should not switch to the interval use plan, which would cost $126.00 more per month.
b.
Samantha should switch to the interval use plan, which would save her $126.00 per month.
c.
Samantha should switch to the interval use plan, which would save her $35.50 per month.
d.
Samantha should not switch to the interval use plan, which would cost $35.50 more per month.

Answers

Answer:

C

Step-by-step explanation:

Edge 2021

a jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30 east of north. how far is he from his house after running 8 miles?

Answers

Final answer:

The jogger is approximately 7 miles from his house after running 3 miles east and then 5 miles at a 30° angle east of north, calculated using trigonometric functions and the Pythagorean theorem.

Explanation:

The question asks how far a jogger is from his house after running a total of 8 miles, initially 3 miles due east and then 5 miles at a 30° angle east of north. To solve this, we can use trigonometric functions to find the resultant displacement. The first leg of the journey is straightforward, 3 miles directly east. The second leg can be broken into its northward and eastward components using sine and cosine functions, with the length of the leg being the hypotenuse.

Northward component: 5 miles × cos(30°) = 4.33 miles

Eastward component: 3 miles (initial) + (5 miles × sin(30°)) = 3 + 2.5 = 5.5 miles

To find the total displacement, we calculate the straight-line distance from the starting point to the end point using the Pythagorean theorem.

Displacement = √(northward component² + eastward component²) = √(4.33² + 5.5²) = √(18.7489 + 30.25) = √(48.9989) = 7 miles approximately.

Therefore, the jogger is approximately 7 miles from his house.

Final answer:

To find the distance and direction from the starting point after the jogger's two separate runs, we apply vector addition by decomposing the second leg into its components with trigonometry and then use the Pythagorean theorem and arctangent function to find the resultant magnitude and direction.

Explanation:

The question involves determining the distance from the starting point after a two-leg journey with given directions and distances. To solve this, we need to apply principles of vector addition to combine the two displacements into one resultant displacement. The first displacement is due east, and can be represented as a straight line on a horizontal axis. The second displacement, at a 30° angle east of north, requires us to decompose it into its northward and eastward components. These components are found using trigonometry: by multiplying the distance by the cosine (for the eastward part) and sine (for the northward part) of the angle.

After computing the respective components of the second displacement, we add both eastward displacements together and both northward displacements together to find the total displacement in the east and north directions. The final step is to use the Pythagorean theorem to determine the magnitude of the resultant vector, and trigonometry (specifically, the arctangent function) to find the direction of the resultant vector from the origin, which provides the required distance and direction from the jogger's house after running.

A Metal worker traced a triangular piece of sheet metal on a coordinate plane as shown

Answers

The coordinates of vertices of the triangle can be seen from the graph. Using these vertices we can find out the length of sides and hence we can find the longest side of the triangle.

The triangle is a Right Angled Triangle. In a right angled triangle the length of hypotenuse is always larger than the base and perpendicular. The end points of the hypotenuse are (2,4) and (-3,-2). Using the distance formula, we can find the length of hypotenuse:

[tex] \sqrt{ (-3-2)^{2} + (-2-4)^{2} } \\ \\ = \sqrt{ (-5)^{2} + (-6)^{2} } \\ \\ = \sqrt{25+36} \\ \\ = \sqrt{61} \\ \\ =7.8 [/tex]

Thus the length of longest side of the metal triangle is 7.8 inches, rounded to nearest tenth of an inch.

Ed spoke to his cousin in Australia, who told him it was 28 degrees C that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit. What is the temperature in degrees Fahrenheit? Use the formula, F=9/5 C+32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
A)48 Degrees F
B)50 Degrees F
C)82 Degrees F
D)108 Degrees F

Answers

Answer:

C)82 Degrees F

Step-by-step explanation:

The formula we have is F = 9/5C + 32.  Substituting the value for Celsius, 28, into the formula,

F = 9/5(28) + 32

F = 1.8(28) + 32

F = 50.4 + 32

F = 82.4

To the nearest whole number, this is 82 degrees.

The converted temperature in degrees Fahrenheit is 82 Degrees F

What is temperature conversion?

Temperature conversion is the process of changing the value of temperature from one unit to another. We measure temperature on scales like Kelvin, Celsius, and Fahrenheit, etc.

Given that, the temperature in Australia, is 28 degrees C, Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit.

We know that,

The formula to convert the temperature into Fahrenheit is:

F = 9/5C + 32.  

Substituting the value for Celsius, 28, into the formula,

F = 9/5(28) + 32

F = 1.8(28) + 32

F = 50.4 + 32

F = 82.4

Hence, the converted temperature in degrees Fahrenheit is 82 Degrees F

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