Find the areas of the sectors formed by ∠DFE. Round your answers to the nearest hundredth.

Find The Areas Of The Sectors Formed By DFE. Round Your Answers To The Nearest Hundredth.

Answers

Answer 1

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = [tex]\frac{\theta}{360}(\pi )(r)^2[/tex]

Area of the sector shaded in blue = [tex]\frac{256}{360}(\pi )(14)^2[/tex]

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = [tex]\frac{104}{360}(\pi )(14)^2[/tex]

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²


Related Questions

The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?

Answers

Answer:

$16

Step-by-step explanation:

First subtract $351 from $895 to find the dollar amount we're considering.

($895 - $351 = $544)

Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged.  ($544 / 34 = $16)

A store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford

Answers

Answer: P ≤ $10

Step-by-step explanation:

You have $18

You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10

This means that we the range of prices P that you can afford is:

P ≤ $10

This means that the price of the jeans can be, at maximum, 10 dollars.

Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15.

Answers

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Given the range {-1, 5, 9), what is the domain for the relation y = x + 3?

Answers

Answer:

yes

Step-by-step explanation:

because it happens that way that it wants

Answer:

The answer is {-4,2,6}

Step-by-step explanation:

I am sorry if i had more time i would explain but i gotta go.

This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar

Answers

Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar

Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5

250 * 4/5 = 200 grams

1.2* 4/5 = 0.96 liters

90* 4/5 = 72 grams

Which of the following is Th e equation of the boundary line shown in the following inequality?


a. y = -x + 3/5

b. y= -x + 5/3

c. y= 3/5x - 1

d. y= 5/3x - 1

Answers

Answer:

The answer is C.

Step-by-step explanation:

Mark me brainiiest.✌✌

*I WILL MARK YOU BRAINLIEST!!!!!*

Answers

Answer:

-3

Explanation:

Rate of change in the interval

X=0 to X=3 is given by,

[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]

What is the value of x?

Answers

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

solve the system of equations using elimination 3c - 8d =7 and c + 2d = -7

Answers

Answer:

d=-2 c=-3

Step-by-step explanation:

3c-8d=7

4(c+2d=-7)

3c-8d=7

4c+8d=-28

4c+3c-8d+8d=7-28

7c=-21

c=-3

c+2d=-7

-3+2d=-7

2d=-4

d=-2

Given.

[tex](3c-8d=7)=(c+2d=-7)[/tex]

Multiply 4 to the second equation.

[tex]4(c+2d=-7)[/tex]

[tex]3c+8d=-28[/tex]

Compare the like terms.

[tex]4c+3c-8d+8d=7-28[/tex]

Solve.

[tex]7c=-21[/tex]

Divide 7 to both sides

[tex]\frac{7c}{7}=\frac{-21}{7}[/tex]

[tex]c=-3[/tex]

Substitute (-3) for c into the original second equation.

[tex]c+2d=-7[/tex]

[tex]-3+2d=-7[/tex]

Add (3) to both sides.

[tex](-3+2d=-7)+3[/tex]

[tex]2d=-4[/tex]

Divide (2) to both sides.

[tex]\frac{2d}{2}=\frac{-4}{2}[/tex]

[tex]d=-2[/tex]

Check your work.

[tex]3(-3)-8(-2)=7[/tex]

[tex]-9+16=7[/tex]

[tex]7=7[/tex]

[tex]c+2d=-7[/tex]

[tex]-3+2(-2)=-7[/tex]

[tex]-3-4=-7[/tex]

[tex]-7=-7[/tex]

Therefore your answer is.

[tex]c=-3\\d=-2[/tex]

C. Courtney got a remote control car for her birthday. It is a metallic
purple with chrome wheels that are 1 1/2 inches in diameter. She said to
her friend, Dylan, “My remote control car goes faster than my mom's
car on the freeway.” “No way,” said Dylan. Courtney said, “I will prove it to
you.” Courtney measured off a distance of 115 inches. Dylan said, “Okay, I
will time how long it takes your car to travel that distance. I have a stopwatch
feature on my watch.” Courtney raced her remote control car over the
115-inch distance. Dylan said, “Wow, that only took 3.21 seconds. That seems
really fast.” “See, I told you,” said Courtney. “But really how fast is it going?”
answered Dylan. Determine the speed of Courtney's remote control car and
compare its speed to that of a regular car traveling on the freeway. Explain
how you found your solution. Why might the manufacturer get away with
advertising that the remote control car Travels Faster Than Life?


please help!!!!

Answers

Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.

Step-by-step explanation:

[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]

Speed of Courtney's remote control car is: 2 mph

Courtney's remote control car is slower than an average freeway car  since averagely the speed of a car on the freeway is usually 60 mph.

Given that:

Distance covered by Courtney's car = 115 inches

Time taken to cover that distance = 3.21 seconds

Converting inches to miles and seconds to hours:

[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]

Thus speed of Courtney's car can be calculated as

[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]

Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.

Learn more here:

https://brainly.com/question/11583742

How do I find the arc of a circle?\

Answers

Answer:

google

Step-by-step explanation:

Step-by-steP

LA FÓRMULA ES:

arc = πrΘ/180

what is the sum of (2x−6)+4(x−3)

Answers

Answer:

6x - 18

Step-by-step explanation:

2x-6 + 4x-12

6x - 18

Answer:

6x - 18

Step-by-step explanation:

(2x−6)+4(x−3)

Distribute

2x -6 + 4x - 12

Combine like terms

6x - 18

A SSS
B AAA
C SSA
D None of the choices are correct ​

Answers

Answer:

B

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

We see that three set of angles are the same in the different triangle hence

It is congruent by Angle Angle Angle AAA

<UST = <QSR

<UTS = < QRS

<TUS = < SQR

Which of the following is a quadratic function?

in photo..

Answers

Answer:

[tex]f(x)=-3x^2[/tex]

Step-by-step explanation:

A quadratic function is a function in which its degree (Highest power of the variable) is 2.

[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.

how many inches in 85937392 metres?​

Answers

Answer:

3383361889.8

Step-by-step explanation:

1 meter = 39.3701 inches

85937392 x 39.3701 = 3383361889.8

Answer:

3,383,361,889.76 inches

Step-by-step explanation:

1 meter = 39.37 inches

multiply 85937392 by 39.37

answer is 3383361889.76

Find the equation of the circle whose center and radius are given. center ( 5, 6), radius=3

Answers

Answer:

(x-5)^2 + (y-6)^2 = 9

Step-by-step explanation:

The equation of 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-5)^2 + (y-6)^2 = 3^2

(x-5)^2 + (y-6)^2 = 9

INEED YOUR HELP ASAP!!! For the expression 6 − y + 3, determine the coefficient for the variable term.

Answers

Answer:

[tex]-1[/tex]

Step-by-step explanation:

[tex]6 - y + 3[/tex]

[tex]-y+3+6[/tex]

[tex]-y+9[/tex]

A coefficient is a number that is used to multiply with a variable.

[tex]-y=-1y[/tex]

[tex]-1y+9[/tex]

What is the inverse of the function f(x) = x + 3?

Answers

Answer:

[tex]h(x)=x-3[/tex]

Answer:

h(x) = x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

Subtract 3 from each side

x-3 = y+3-3

x-3 =y

The inverse is x-3

What’s the answer I need help plssssssssss

Answers

Answer:

[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

So A is the answer

Step-by-step explanation:

[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

What is the 5th term of the linear sequence below?

-5,-2,1,4,7,

Answers

Answer:

The sequence has '+3' each time, so the next will be 10

Step-by-step explanation:

it is 10 cuz it goes from -5 adding 3

Find the surface area of the prism. PLZ HELP

Answers

Answer:

180 cm

Step-by-step explanation:

Surface Area = 2(length * width + length * height + width * height)

S.A. = 2(8 * 3 + 8 * 6 + 3 * 6)

S.A. = 180 cm.

If 153 = 2 (z +z)n, then what is the value of 4nz + 20

Answers

Answer:

The value of 4 n z + 20 = 173

Step-by-step explanation:

Explanation:-

Given  153 = 2 (z +z )n

          2 ( z + z) n = 153

         2 ( 2 z ) n = 153

          4 z n = 153

Adding '20' on both sides , we get

         4 z n + 20 = 153 + 20

         4 z n + 20 = 173

Final answer:-

The value of 4 n z + 20 = 173

rewrite 5√4 * √2 as a single radical.

Answers

Answer:

the 2nd

Step-by-step explanation:

[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]

Answer:

The next answer is 6x^4

Step-by-step explanation:

Someone tell me answer!!!

Answers

Answer:

X=70

Step-by-step explanation:

180-120=60

60 + 50=110

180-110=70

Answer:70°

Step-by-step explanation:

missing angle- 180°-120°= 60

a total triangle= 180°

so x = 180-(50+60)

=180-110

x=70°

Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185

Answers

Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

Can someone help me simplify these expressions

Answers

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?

Answers

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.

Answers

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

1. 3x + 5 = 5x -9


2. 2x + 5 = 3x - 3


3. 3x + 2 = 5x - 16


Pls again answer equation questions find x, I can do this but I am so exhausted.​

Answers

Answer:

1)7

2)8

3)9

Step-by-step explanation:

1)3x+5=5x-9

3x-5x=-9-5

-2x=-14

x=7

2)2x+5=3x-3

2x-3x=-3-5

-1x=-8

x=8

3)3x+2=5x-16

3x-5x=-16-2

-2x=-18

x=9

Hope I am correct and if I am not I will edit my answer

Answer:

1. x= 7

2. x= 8

3. x= 9

Step-by-step explanation:

1. 3x+5= 5x-9       2. 2x+5= 3x-3       3. 3x+2 = 5x-16

3x-5x= -9-5           2x-3x = -3-5           3x-5x = -16-2

-2x= -14                         -x = -8               -2x = -18

x= -14/-2                           x = -8/-1              x = -18/-2

x = 7                                       x = 8                   x = 9

Other Questions
Read this adapted excerpt from "The Third Philippic," written by Demosthenes in 342 B.C.: It is this fate, I solemnly assure you, that I dread for you, when the time comes that you make your reckoning, and realize that there is no longer anything that can be done. May you never find yourselves, men of Athens, in such a position! Yet in any case, it were better to suffer greatly, than to do anything out of servility towards Philip [or to sacrifice any of those who speak for your good]. A noble recompense did the people in Oreus receive, for entrusting themselves to Philips friends, and thrusting Euphraeus aside! And a noble recompense the democracy of Eretria, for driving away your envoys, and surrendering to Cleitarchus! A noble clemency did he show to the Olynthians, who elected Lasthenes to command the cavalry, and banished Apollonides! It is folly, and it is cowardice, to cherish hopes like these, to give way to evil counsels, to refuse to do anything that you should do, to listen to the advocates of the enemys cause, and to fancy that you dwell in so great a city that, whatever happens, you will not suffer any harm. In which point of view is this excerpt written? A. first person B. second person C. third-person limited D. third-person omniscient a newborn calf weighs 40 kilograms. Each week its weight increases by 5%. Let W be the weigh in kilograms of the calf after t weeks ScratchpadThe value of b when solving the equation 2 (b+12)=16 Read the scenario.Madison received $100 as a holiday gift. She used it to buy 50 mineral infused candles for $2each. Then, she walked around the neighborhood and sold the candles for $4 each.RWhat factors of production did Madison use? Jordan's grandmother uses the juice from squeezed lemons to remove stains from his shirt. He hypothesizes that the juice is the only part of the lemon that is effective at removing the stains, because its an acid. Which two steps would help Jordan determine whether his hypothesis is scientifically supported? Hurricane Katrina and Hurricane Rita are similar in what way? Whats the correct answer for this? In which space, outdoors or in your classroom, would it be easier to hear a musician? Explain Strontium, a group 2 element with an electron configuration of 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^10 4p^6 5s^2 , will form a _____ ion in a chemical bond.+1+2-1-2 Using the order of operations, what should be done first when evaluating this expression?-1/2 divided by 2(9+3)-4-3/4(8) Events A and B are overlapping.P(A) = 4/11; P(B) = 3/11, P(A and B) =2/11 .Find P(A or B). 11 2x = -7 There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxes of apples. Each box has three dozen apples inside. Does the school have enough apples for all the students in grade 2 ? simplify 17+(-4)-(-16)-2 A right triangle has an area of 50 square inches. Part 1 out of 2 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle? The length of each leg is____ inches. The Perfect square numbers between 100 and 200 are ____Pls help. What is the height of this isosceles triangle? Please helpppppp, Im tryna passss :( What role does supply and demand play in distribution? I need help ty i only need the answer