Given a circle with a radius of 7 inches and a central angle of 140°, find the area of the sector.

Answers

Answer 1

Answer: 343pi/18

Step-by-step explanation:

Given A Circle With A Radius Of 7 Inches And A Central Angle Of 140, Find The Area Of The Sector.

Related Questions

the first day of shooting a movie, a director uses 30% of a film reel. The strip of
film used was 90 meters long.
What is the standard length on a film reel?

Answers

Answer:

27

Step-by-step explanation:

30% of 90 can be written as 30% × 90

= 30/100 × 90

= 27

Solve the equation k^2-6k=11 by completing the square

Answers

Answer:

k = ±2√5 + 3

Step-by-step explanation:

k² - 6k + 9 = 11 + 9(k - 3)² = 20k - 3 = √20k - 3 = ±2√5k = ±2√5 + 3
Answer:

[tex]k=3+2\sqrt5\ or\ k=3-2\sqrt5[/tex]

Step-by-step explanation:

[tex]k^2-6k=11[/tex]

_______________________________________________

Add one term in order to complete the square

[tex]k^2-6k+(6\times\frac{1}{2})^2=11+(6\times\frac{1}{2})^2[/tex]

________________________________________________

Calculate

[tex]k^2-6k+3^2=11+3^2[/tex]

_________________________________________________

Factor the expression using [tex]a^2\pm 2ab+b^2=(a\pm b)^2[/tex]

[tex](k-3)^2=11+3^2[/tex]

__________________________________________________

Calculate the power

[tex](k-3)^2=11+9[/tex]

___________________________________________________

Calculate the sum or difference

[tex](k-3)^2=20[/tex]

______________________________________________________

Split into two equations

[tex]k-3=\sqrt{20}\ or\ k-3=-\sqrt{20}[/tex]

________________________________________________________

Move variables to the left side of the equation:

                                 [tex](k-3=\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=2\sqrt{5}+3[/tex]

____________________________________________________

Move variables to the left side of the equation:

                               [tex](k-3=-\sqrt{20})[/tex]

[tex]k=\sqrt{20}+3\\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

So far:

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

Find the union of the solutions

[tex]k=2\sqrt{5}+3\ or\ k=-2\sqrt{5}+3[/tex]

_____________________________________________________

I hope this helps you

:)

2/5 10+36-6 ................... HELP PLEASE

Answers

Answer:

if it is just the 10+36-6 then that is 40 but then if it is 2/5 10+36-6 then that would be 16

Step-by-step explanation:

add 10 and 36 which is 46 then subtract 6 which is 40 then get the 2/5 which would be 16 hope this helps you

A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?

Answers

Answer:

872 square in.

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

[tex]A=2(wl*wh*lh)[/tex]

Where w is the width of the prism, l s the length of the prism, h is the height of the prism, and A is the surface area.

Plugging in the numbers given, you get the following equation:

[tex]A=2((20*18)*(20*2)*(18*2))[/tex]

Which when calculated out, is 872 square in.

help me!!!!Determine the value of each car after 5 years.

Answers

I believe it would be $1458


In 2010 Elmbrook Middle School had 100 students in the eighth grade. In 2011 the number of eighth
graders decreased by 10%. The 2012 eighth grade Class increased in size by 10% from 2011. How many
eighth grade students were enrolled at Elmbrook Middle School in 2011

Answers

Answer:

90 students

Step-by-step explanation:

So, if you have 100 students to start and it decreases by 10% then take the 100 and multiply it by .10. You should get 10. Then, subtract 10 from 100 and you end up with 90.

Answer:

hello

2010 = 100 students

2011 = 100 x 0.9 = 90

2012 =  90 x 1.1 =  99  

Step-by-step explanation:

Maria wants to determine which students is favored for president of the student council. Which of the following samples are biased and not freedom? Select all that apply.
O Surveying the boys in the freshman class.
O Surveying every other student in the cafeteria.
O Surveying all the students in her math class.
O Surveying 20 students from each grade at random.
O Surveying the students in the chess club.

Answers

- Surveying the boys in the freshman class is biased. It doesn’t take a sample from all of the school, it is from only one grade and one gender.

-Surveying every other student in the cafeteria would be biased IF only a certain grade was in there at a certain time. If every student was in the cafeteria at the same time, it would be non biased.

-Students in her math class is biased- it only considers those in a certain class, not everyone.

-20 from each grade at random is NOT biased, it considers every grade and 20 random students.

-Chess club is biased. Only students in one particular group get to answer. Hope this helps!

Answer:

A, C, E,

Step-by-step explanation:

A)Surveying the boys in the freshman class.

C)Surveying all the students in her math class.

E)Surveying the students in the chess club.

Select all ordered pairs that could be added to this relationship and keep it a function:

(-2, -5) (0, -1) (1, 1) (4, 7)

Answers

Answer:

that's 4 and 7 .............

The owner of a music store ordered new compact disks. Of the new compact disks ordered,1/4 are Jazz, 2/7 are Classical, and the rest of the compact disks are Soft Rock. What fraction of the compact disks ordered are Soft Rock? ​

Answers

The fraction of the compact disks ordered  by the owner of the music store that are Soft Rock is 13/28.

What are fractions?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above while the denominator is the number below.

What fraction is Soft Rock?

1 - (1/4 + 2/7)

1 -[ (7 + 8) /28]

1 - 15/28 = 13/28

What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55

Answers

Answer:

5

Step-by-step explanation:

Answer:

The mean absolute deviation would be 10.

Step-by-step explanation:

I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.

Calculate the capacitance between two parallel plates of area s and separation of d

Answers

What do you mean I don’t understand

The capacitance between two parallel plates of area s and separation of d is;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

What is capacitance?

Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.

The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.

The capacitance between two parallel plates of area s and separation of d is given by the following formula;

[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]

The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.

According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.

To know more about capacitance click the link given below.

https://brainly.com/question/14746225

#SPJ4

1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
How much plywood will it take to build the garbage bin?

Answers

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

How to find the surface area of a rectangular prism

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

l = lengthw = widthh = height

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:https://brainly.com/question/27161212

find the value of x in the triangle shown below

Answers

the answer is c (x=15)...

[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

Here,

Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

[tex]\rm{↠Substituting \: values }[/tex]

[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]

Option C ✓

[tex] \underline{\rule{100mm}{3.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

What percent represents the shaded part of the hundredths grid shown? Please help asap!

Answers

Answer:

C. 5%

Step-by-step explanation:

if u count the shaded part it is 5 shaded out of 100 so that fraction is 5/100 which is .05 as a decimal and 5% as a percent

I think of a number multiply it by 2, subtract 3 and multiply by 4

Answers

Step-by-step explanation:

(2x - 3)×4

random number multiplied by 2, then minus 3 from that result, and multiply that result by 4.

This is getting more difficult!

Answers

The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation

The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)

How to determine the vertex?

The equation is given as:-

[tex]y = x^2 - 8x + 3[/tex]

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

By comparison, we have:

a = 1; b = -8; c = 3

The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]

So, we have:

[tex]x = \frac 8{2*1}[/tex]

[tex]x = 4[/tex]

Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]

[tex]y = 4^2 - 8 * 4 + 3[/tex]

[tex]y = -13[/tex]

When x = 2 and 3, we have:

[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]

[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]

When x = 5 and 6, we have:

[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]

[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]

So, the table of values is:

x       y

2      -9

3      -12

4      -13

5      -12

6      -9

Read more about quadratic functions at:

https://brainly.com/question/18797214

find the value of x in the triangle shown below

Answers

Answer:

D

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of thesquares on the other two sides, that is

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = [tex]\sqrt{17}[/tex]

Answer:

√17 (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be BC, where BC is the Perpendicular.

8 be AB, where AB is the Base.

9 be AC, where AC is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf \qquad \: (8) {}^{2} +( x) {}^{2} = (9) {}^{2} } [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = (9) {}^{2} - (8) {}^{2}} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 81 - 64} [/tex]

[tex]{ \longrightarrow \sf \qquad \: ( x) {}^{2} = 17} [/tex]

[tex]{ \longrightarrow \it \qquad \pmb {x = \sqrt{17 \: \: } } }[/tex]

Therefore,

The value of x is √17 .

A stained glass window has the dimensions shown. What is the perimeter of the hole that should be cut in the wall in order for the window to be installed?

Answers

Answer:  She observed older fossils that contained many of the same minerals as the newer ones

Step-by-step explanation:

Answer:

chaupapi

\\

Step-by-step explanation:

what is 60 divided by 4?

Answers

Answer:

The answer is 15

Step-by-step explanation:

17. Billy purchased 100 shirts at a cost of $15 each and planned to resell them. The first
week he sold some of them for $25 each. The second week he sold the rest for $20 each.
If his total profit was $600, how many shirts did he sell the first week?

Answers

Answer:

2100

Step-by-step explanation:

The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?

Answers

Answer:

606 MPH

Step-by-step explanation:

4848/8=606

Answer:

606 mph

Step-by-step explanation:

i did 4848 divided by 8

Solve 7x -4 = 5x + 15 for x.

19/12

11/2

19/2

Answers

Answer:

Third option

Step-by-step explanation:

Given the following question:

[tex]7x-4=5x+15[/tex]

To find the answer we need to use inverse of operations to simplify the equation in till we isolate the variable and find the value of x.

[tex]7x-4=5x+15[/tex]
[tex]-4+4=0[/tex]
[tex]15+4=19[/tex]
[tex]7x=5x+19[/tex]
[tex]5x-5x=0[/tex]
[tex]7x-5x=2x[/tex]
[tex]2x=19[/tex]
[tex]2x\div2=x[/tex]
[tex]19\div2=\frac{19}{2}[/tex]
[tex]=\frac{19}{2}[/tex]

Your answer is the third option or "19/2."

Hope this helps.

A skydiver in a computer game free-falls from a height of 3000 meters at a
rate of 55 meters per second. Which equation can be used to find the
height of the skydiver after tseconds?

Answers

h= -55t + 3000. Hope this helps!

can someone help me with this ?

Answers

Answer:

yes I can help you with this but I don't know it

(PLS HELP QUICK POINTS)

A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.

Answers

Answer:

Step-by-step explanation:

To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.

Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.

Answers

A is the correct answer because it is adding the amount of money and pound multiplied + the other which is accurate to equal 24. the answer would be 3 x 6 + 2 x 3 = 24, 3 x 4 + 2 x 6 = 24, and etc

Help please I would appreciate ​

Answers

Answer:

66 (no other answer)

Step-by-step explanation:

The number can be divided by 2 so its even. Its a multiple of 11. It is between 20 and 79. it is a multiple of 3.

Which point on the number line is at 58/100

Answers

Answer:

R

Step-by-step explanation:

If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.

Hope this helped <3 Brainliest please :)

Constants are numbers without letters attached.
What is the constant in the equation x/2 - 3?


answers:
2
-3

Answers

Answer:

constant = - 3

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] - 3 = [tex]\frac{1}{2}[/tex] x - 3

the number without letters attached is the constant - 3

Answer:

-3

Step-by-step explanation:

The answer is -3 because 2 has a letter attached to it which is x/2 -3 is without a letter.

hope dis helps):

Regina created a playlist on her cell
phone. The playlist includes 3 pop songs, hip-hop songs, and 1 blues song. Regina will randomly choose 2 songs, without repeating a song, to play through her new earbuds. What is the probability that Regina will choose a pop song first and a hip-hop song second?

Answers

Answer: a 5/24

Step-by-step explanation:

3 + 5 + 1 = 9

First = Pop Song     P = 3/9  = 1/3

Seconed = Hip Hop Song       P2 =  5/9-1   = 5/8

So P = 1/3 x 5/8 = 5/24

So that makes A the correct answer

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