3. Find the sector area of the circle. Use 3.14 for the value of Round your answer to the nearest tenth.
11 ft
150°

Answers

Answer 1

Answer:

a = 158.3 units²

Step-by-step explanation:

a = (∅/360) * πr²

using 11 ft as the radius

a = (150/360) * 3.14 * 11²

a = 158.3 units²


Related Questions

Use your graph to find estimates of the solutions to the equation x^2-x-6=-2

Answers

9514 1404 393

Answer:

  x ≈ -1.5 or 2.6

Step-by-step explanation:

It appears as though your graph crosses the line y = -2 at approximately x = -1.5 and also at x = 2.6.

These are estimates of the solutions to the equation.

  x ≈ {-1.5, 2.6}

Answer:

-2 and 3

Step-by-step explanation:

From the graph, the solution is the points where the curve cuts the x axis. From the graph, you can see that the equation cuts the x axis at two points that is at x=-2 and 3.

Hence the solutions to the equation is -2 and 3

A website posts evaluations on airlines. It posts the most positive and the most negative comments for each airline. Discuss the usefulness of this feedback for a reader wanting to know about the airline.

choose the correct statement below. SELECT ALL THAT APPLY:

A. The reader can accurately assess the airline based on the posted evaluations.

B. the reader cannot accurately assess the airline because the evaluations are not necessarily representative of all evaluations.

C. the reader cannot accurately assess the airline because the method of choosing the sample is unclear.

D. the reader cannot accurately assess the airline without reading all the evaluations. ​

Answers

Answer:

B. the reader cannot accurately assess the airline because the evaluations are not necessarily representative of all evaluations.D. the reader cannot accurately assess the airline without reading all the evaluations.

Step-by-step explanation:

Using the most positive and the most negative comments to evaluate the airlines will not be an accurate measure of the airline because these are not a good enough sample. The opinions of those who fall in-between the most positive and negative should also be included as they could have some vital details as well.

Also, in order to be completely accurate, all the comments of the airline should have been posted because this would represent the entire population of comments and so would give the best assessment.

Use the given values to complete each table.
PLEASE HELP.

Answers

Number 5. Is 15, 19, 23
Number 6. Is 1, 6, 13

Number 7 is: Rosa’s horse is 60in tall.

What is the slope of the line through (-5, -10) and (-1, 5)

Answers

Answer:

Slope = 15/4

Step-by-step explanation:

Use the slope formula and you'll get the same answer.

Hope this helps:)

Small circular disks are being cut from thin sheets of steel. The steel weighs 1.6 grams per square centimeter. The disks need to have a diameter of 5 centimeters.

(A) find the area of the disk to the nearest hundredth of a square centimeter. Show the steps in your calculation.

Answers

Answer:

[tex]A = 19.63cm^2[/tex]

Step-by-step explanation:

Given

[tex]d =5cm[/tex]

[tex]Weight = 1.6g/cm^2[/tex]

Required

The area (A) of the disk

This is calculated as:

[tex]A = \frac{\pi * d^2}{4}[/tex]

So, we have:

[tex]A = \frac{3.14 * 5^2}{4}[/tex]

[tex]A = \frac{3.14 * 25}{4}[/tex]

[tex]A = \frac{78.5}{4}[/tex]

[tex]A = 19.625[/tex]

[tex]A = 19.63cm^2[/tex] --- approximated

Find the value of the polynomial when x=1 and y=-2

Answers

Answer:

the answer is : ................

5

The answer is 5 I think



Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.

Answers

Answer: Hello the system of equations and other data required are missing attached below are the missing data

answer :

attached below

Step-by-step explanation:

1st system of equations ( top left ) = Image number 8

system of equation ( Image 10 ) = Image 4

system of equation ( Image 9 ) = Image 6

system of equations ( Image 7 ) = Image 2

attached below is a pictorial representation of the solution

If x = -2, y = 3 and t = 2 then (x/y)t =

Answers

Answer:

-4/3

Step-by-step explanation:

2(-2/3)

= -4/3

Answer:

[tex]( \frac{x}{y} ) \times t \\ \frac{ - 2}{3} \times 2 \\ = \frac{ - 4}{3} [/tex]

Use the net to find the surface area of the regular pyramid.

Answers

Answer:

D

Step-by-step explanation:

Base perimeter = side x 5 = 8 x 5 = 40 cm

LA = (base perimeter x slant height)/2 = (40 x 9)/2 = 180 cm^2

SA  = base area + lateral area = 110.1 + 180 = 290.1 cm^2

Tom has a steel box that has a capacity of 5 gallons. What is the maximum amount of fluid, in quarts, that this box can hold?
A. 10 qt.
B. 15 qt.
C. 18 qt.
D. 20 qt.

Answers

Answer:

d. 20 qt.

Step-by-step explanation:

4 quarts to a gallon so 4x5= 20

The answer is D

If 4 quarts = 1 gallon, then 5 gallons = 20 quarts
For example, 1/4 = 5/20

A cone-shaped paper drinking cup is to be made to hold 24 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.)

Answers

Answer:

I. Radius, r = 2.90 cm

II. Height, h = 4.10 cm

Step-by-step explanation:

Given the following data;

Volume of cone = 24 cm³

To find the height and radius of the cup that will use the smallest amount of paper;

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]  ......equation 1

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the formula, we have;

[tex] 36 = \frac{1}{3} \pi r^{2}h[/tex]

Multiplying both sides by 3, we have;

[tex] 108 = \pi r^{2}h[/tex]

Making radius, r the subject of formula, we have;

[tex] r^{2} = \frac {108}{ \pi h} [/tex]

Taking the square root of both sides, we have;

[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]

Mathematically, the lateral surface area of a cone is given by the formula;

[tex] LSA = \pi rl [/tex]  ......equation 2

Where;

r is the radius of a cone

l is the slant height of a cone.

To find the slant height, we would apply the Pythagorean' theorem;

[tex] l = \sqrt {r^{2} + h^{2}} [/tex]

Substituting r into the above equation, we have;

[tex] l = \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]

Substituting the values of r and l into eqn 2, we have;

[tex] LSA = \pi * \sqrt { \frac {108}{ \pi h}} * \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]

Simplifying further, we have;

[tex] LSA = \sqrt {108} * \sqrt { \frac {\pi h^{3} + 108}{\pi h}} [/tex]

[tex] LSA = \sqrt {108} * \sqrt { \frac {108}{ h^{2}} + \pi h}} [/tex]

Next, to find the value of h, we differentiate the above mathematical equation with respect to h;

[tex] \frac {dS}{dh} = \sqrt {108} * (\pi - \frac {216}{h^{3}}) * (\pi h + \frac {108}{h^{2}}) [/tex]

Limiting [tex] \frac {dS}{dh} [/tex] w.r.t 0;

[tex] \frac {dS}{dh} = 0 [/tex]

[tex] (\pi - \frac {216}{h^{3}}) = 0 [/tex]

Rearranging the equation, we have;

[tex] \pi = \frac {216}{h^{3}} [/tex]

We know that π = 3.142

[tex] 3.142 = \frac {216}{h^{3}} [/tex]

Cross-multiplying, we have;

[tex] 3.142h^{3} = 216 [/tex]

[tex] h^{3} = \frac {216}{3.142} [/tex]

[tex] h^{3} = 68.75 [/tex]

Taking the cube root of both sides, we have;

Height, h = 4.10 cm

Lastly, we find the value of r;

[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]

[tex] r = \sqrt { \frac {108}{3.142 * 4.10}} [/tex]

[tex] r = \sqrt { \frac {108}{12.88}} [/tex]

[tex] r = \sqrt {8.39} [/tex]

Radius, r = 2.90 cm

The height and radius of the cup that will use the smallest amount of paper is;

Radius = 2.52 cm

Radius = 2.52 cmHeight = 3.58 cm

Let us first state some relevant formulas;

Volume of a cone is;

V = ⅓πr²h

Surface area of a cone is;

S = πrL

Where L is Slant height and has a formula;

L = √(h² + r²)

We are told that the cone is to hold 24 cm³. Thus; V = 24 cm³

24 = ⅓πr²h

πr²h = 72

r = √(72/πh)

Putting √(72/πh) for r in the Slant height equation gives;

L = √(h² + (72/πh))

Thus;

S = π × √(72/πh) × √(h² + (72/πh))

Differentiating with respect to h gives;

dS/dh = √72 × (π - 144/h³) × 1/√(πh + 72/h²)

At dS/dh = 0,we will have;

(π - 144/h³) = 0

Thus;

h³ = 144/π

h = 3.58 cm

Thus, from r = √(72/πh);

r = √(72/(π × 3.58))

r = 2.52 cm

Read more at; https://brainly.com/question/4405937

Solve the inequality 0>_3x-2x

Answers

Answer:

x<0

Step-by-step explanation:

See image below:)

What is the equation of the line that is perpendicular to the line y= 3/5x+10 and passes through the point (15,5)?

Answers

Answer:

Step-by-step explanation:

This is really super super simple as long as you know the rules for finding a perpedicular slope from a given line. The perpendicular slope of a line is the opposite reciprocal of the given slope. Our given slope is 3/5, therefore, the perpendicular slope is -5/3. There's only one line with that exact slope, so the choice is the last one. (BTW, check the coordinate you gave. It should be

(15, -5), not (15, 5)!)

Why are unit fractions important?

Answers

Answer:

Unit fractions play an important role in modular arithmetic, as they may be used to reduce modular division to the calculation of greatest common divisors. Specifically, suppose that we wish to perform divisions by a value x, modulo y. In order for division by x to be well defined modulo y, x and y must be relatively prime.

Step-by-step explanation:

To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:

Percentile (mg/d)
Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th
84.2 31 43 47 60 79 103 126 141 180

Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean (±0.01) and standard deviation (±0.01) of this distribution assuming that the distribution is Normal.

μ = _________
σ = _________

Answers

Answer:

[tex]Mean=79[/tex]

[tex]\sigma=30.3951.[/tex]

Step-by-step explanation:

From the question we are told that:

[tex]Age Bracket :19-20[/tex]

[tex]5th\ percentile = 42[/tex]  

[tex]50th\ percentile = 79[/tex]  

[tex]95th\ percentile = 142.[/tex]

Generally the mean Median and mode of the 50th percentile is are all equal

[tex]Mean=Median=Mode[/tex]

Therefore

[tex]Mean=79[/tex]

Generally for Normal distribution

[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]  

[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]

Therefore

[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]

[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]

[tex]\sigma=\frac{142-42}{3.29}[/tex]

[tex]\sigma=30.3951.[/tex]

what is the ratio of 20cm to 1m​

Answers

9514 1404 393

Answer:

  1 to 5

Step-by-step explanation:

20 cm to 1 m = 20 cm to 100 cm = 20 to 100 = 1 to 5

1 ÷ 7


pls help me
hi)

Answers

Answer:

7 lol

Step-by-step explanation:

self explanatory-

but you divide 1 by 7 you get 7

The height ofthe saddle ofa horse above the base ofa carousel can be modeled 4t by the equation f-rr) : 12 sin ^ r 42, where I represents seconds after the ride started. I How much time does to take for the horse to complete one cycle of motion and return to its starting height. What is the maximum height and the minimum height ofthe horse's saddle above the base ofthe carousel

Answers

Answer:

(a) The time to complete 1 cycle and return is 16/3

(b) The minimum height is 30 inches and the maximum is 54 inches

Step-by-step explanation:

Given

[tex]f(t)=12\sin(\frac{3\pi}{8}t) + 42[/tex]

Solving (a): Time to complete 1 cycle and return

This implies that we calculate the period.

This is calculated using:

[tex]T = \frac{2\pi}{w}[/tex]

Where:

[tex]w = \frac{3\pi}{8}[/tex]

So, we have:

[tex]T = \frac{2\pi}{3\pi/8}[/tex]

Rewrite as:

[tex]T = \frac{8*2\pi}{3\pi}[/tex]

[tex]T = \frac{16}{3}[/tex]

Solving (b): The maximum and the minimum height

To do this, we have:

[tex]-1 \le \sin(\theta) \le 1[/tex]

Which means:

[tex]-1 \le \sin(\frac{3\pi}{8}) \le 1[/tex]

So, the maximum and the minimum of [tex]\sin(\frac{3\pi}{8})[/tex] are:

[tex]\sin(\frac{3\pi}{8}) = -1[/tex] --- minimum

[tex]\sin(\frac{3\pi}{8}) = 1[/tex] --- maximum

Given that:

[tex]f(t)=12\sin(\frac{3\pi}{8}t) + 42[/tex]

So, the minimum height is:

[tex]h_{min} = 12 * -1 + 42 = 30[/tex]

The maximum is:

[tex]h_{max} = 12 * 1 + 42 = 54[/tex]

which statement is true?

Answers

Answer:

The y-intercept of function a is greater than the y intercept of function b

Step-by-step explanation:

function a:

y = 4x + 2

function b:

y = 2x + 1

Find the value of x to the nearest tenth. 2 4 x 8

Answers

192 because if you put 24 into 8 groups there are 192

What is the value of h(2)?
0 -2
0 -11
ОО
O 3

Need help fast!!!

Answers

-2 the point is being plot at -2

HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION​

Answers

Answer:

2,4,6,8,10,12,14,16,18,20

Answer:

How do you make the number 7 an even number without addition, subtraction or multiplication?

Ad by IQ Test Institute

How high is your IQ?

Answer 20 questions to find out! Get a 44-page IQ performance report & more! 132,933 users this month.

Start Now

22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)

Answered 4 years ago

You can remove alphabet S from SEVEN.

You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.

Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.

Introducing a new number system and interchange position of 7 with an even number.

If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.

These are some genuine ways rather than dividing.

ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .

Use two equations in two variables to solve the problem.
A merchant wants to mix peanuts and cashews, as shown in the illustration, to get 42 pounds of mixed nuts that will be sold at $6 per pound. How many pounds of each should the merchant use?

Answers

Answer:

   

Step-by-step explanation:

Giải các phương trình sau
√3x-√3=√3

Answers

Answer:

2

Step-by-step explanation:

√3x=√3+√3=2√3⇒x=2

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = 2}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{3} x - \sqrt{3} = \sqrt{3} [/tex]

➺ [tex] \: \sqrt{3} x = \sqrt{3} + \sqrt{3} [/tex]

➺ [tex] \: \sqrt{3} x = 2 \sqrt{3} [/tex]

➺ [tex] \: x = \frac{2 \sqrt{3} }{ \sqrt{3} } [/tex]

➺ [tex] \: x = 2[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]

(120+2x)+(70+2x)=15,000
not angles, area. also foiling

Answers

Answer:

x =3702.5

Step-by-step explanation:

Given data

(120+2x)+(70+2x)=15,000

Let us open the bracket

120+2x+70+2x=15,000

Collect like terms

120+70+2x+2x=15,000

190+4x=15000

4x=15000-190

4x= 14810

Divide both sides by 4

x=14810/4

x= 3702.5

Hence the value of x =3702.5

If each 2 cm on the scale drawing below equals 9 feet, what is the actual area of the shape in square units?

Answers

Answer: 18 cm

Step-by-step explanation: 9 feet x 2

Find the missing length indicated

Answers

Answer:

D) 20

Step-by-step explanation:

Answer:

D) 20

Step-by-step explanation:

they are asking for the longest length of the triangle. as you can see, 20 is just over 15, and from the diagram, the missing length is just over 15 so we can apply our knowledge to come to the answer of 20.

HELP QUICK I NEED ANSWER

Answers

Answer:

The answer is 23

Step-by-step explanation:

Answer:

the answer of the question is 23

Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50

Answers

Answer:

The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

Step-by-step explanation:

Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:

5X + 7 x (X + 8.50) = 245.50

5X + 7X + 59.50 = 245.50

12X + 59.50 = 245.50

12X = 245.50 - 59.50

12X = 186

X = 186/12

X = 15.50

Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.

What’s the standard form for 1,000,000+80,000+30+3

Answers

Answer:

1080033

Step-by-step explanation:

Answer:  1,080,033

=========================================

Explanation:

1,000,000 = 1 million

80,000 = 80 thousand

Adding those two would get us

1,000,000+80,000 = 1,080,000

Then we change those last two zeros at the end of "1,080,000" to 33 instead to get the final answer  1,080,033. This is done because we're adding 30+3 = 33 at the end.

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

Extra info:

The number 1,080,033 is slightly over 1.08 million1,080,033 = 1 million, 80 thousand, 331,080,033 = one million, eighty thousand, thirty-threeThe use of commas between the words is optional. It's to give a sense of the pacing or pauses when reading out the number.
Other Questions
For each of the following scenarios, indicate if it would necessarily lead to crowding out or not, and explain your reasoning. Assume a closed economy.Assume that fiscal receipts equal outlays when the Federal Reserve increases the discount rate. Is baking soda pure or impure What protects the living organisms on the earth from extreme heat and extreme cold? Liam is single. He has no children and an adjusted income of $26,700. Last year, his employer held $172 from each monthly paycheck. He used the standard deduction when filing. Find the amount of income tax due to the IRS or the amount overpaid.A Liam owes the IRS $91B The IRS owes Liam $91C The IRS owes Liam $329D Liam owes the IRS $329 What statement best describes why Napoleon chose to invade Russia?a. Russia continued to sell weapons to England violating the Continental Systemb. Russia continued to sell grain to Spain violating the Continental Systemc. Russia entered the Peninsula War on behalf of Spain and it was paybackd. All choices describe Napoleon's thinking Kadeesha has a point card for a movie theater. She receives 50 rewards points just for signing up she earns 12.5 points for each visit to the movie theater she needs at least 210 points for a free movie ticket right and solve for an inequality the number of visits kadeesha can make to earn her first free movie ticket Palabra con descriptionEnsayoLos retosDetalles How does Quarterman use music to tell his story? against thelation you have chosen Describe TWO ways in which the above law protects citizens against humanright violationsHow can discussions, projects camnain PLEASE HELP AS SOON AS YOU CAN!!!! Una opinin personal es un juicio o valoracin que tiene alguien acerca de un acontecimiento, una experiencia o un tema en concreto. Read the excerpt from Flannery O'Connor's "The Life You Save May Be Your Own." The ugly words settled in Mr. Shiftlet's head like a group of buzzards in the top of a tree. The simile in this excerpt compares Mr. Shiftlet to a group of buzzards. the ugly words to the top of the tree. a group of buzzards to the top of a tree. the ugly words to a group of buzzards. Choose the synonym that best clarifies the meaning of the underlined word in this sentence:The kids wanted to keep the lost dog safe, so they quickly gathered supplies to build a makeshift doghouse.expedientprovisionalslapdashtemporary which sentence is mostly informative rather than arugumentative 56:47 If you wanted to increase your muscular endurance, it would be important to participate in activities that __________. A. increase the size of the muscle cells and the amount of blood that is delivered to the muscle B. decrease the amount of fuel that the muscle can store and increase the time it takes for the muscle to contract C. increase the number of muscles and decrease the size of the muscle cells D. decrease the length of the muscle and increase the thickness of the muscle Which statement best describes urban areas during the late 1800s? Please give me the answer and show me how you solved it In Plessy v. Ferguson, Homer Plessy claimed that separate but equal violated his rights under theFirst Amendment.Thirteenth Amendment.Fourteenth Amendment.Fifteenth Amendment. Which sentence is an example of a concrete st What are some of the argument's weaknesses? Do these weaknesses involve logical fallacies, misuse of evidence, lack of evidence, poor consideration of the needs of the audience, or something else? What are some examples? What property can be easily measured in solids, liquids, and gases? (2 points)Group of answer choicesThe temperature of solids, liquids, and gases can be easily measured.The texture of solids, liquids, and gases can be easily measured.The color of solids, liquids, and gases can be easily observed.The texture and temperature can be easily measured for solids, liquids, and gases.