Mathematics College

5. (09.06 MC)
The graphs of the polar curves r = sin e-2 and r = cos(20 + 3) are shown.
Find the area of R, which is the region inside r = sin 6-2, but outside r = cos(20 + 3). (10 points)
31.416
12.566
15.708
0 25.133

5. (09.06 MC)The Graphs Of The Polar Curves R = Sin E-2 And R = Cos(20 + 3) Are Shown.Find The Area Of

Answers

Answer 1

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

Related Questions

Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!

(calculators are allowed)

Answers

Answer:

1. 1,246

2. 0,545

3. 0,9539

Step-by-step explanation:

semoga membantu :)

Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).

Answers

Answer:

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

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]y = 4 - 3x\\y = -3x+4[/tex]

Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,5) and solve for b:

[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:

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

I hope this helps!

Going into the final​ exam, which will count as two​ tests, has test scores of 77 , 82, 72 , 63 and 92 What score does need on the final in order to have an average score of​ 80?

Answers

Answer:

you either need to score a perfect on one exam and get a 80 on the second or get two 90s on both exams.

Step-by-step explanation:

4x-2=18x+5
Show ur work

Answers

x = -½

Step-by-step explanation:

[tex]4x - 2 = 18x + 5[/tex]

Collect like terms and simplify

[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]

Divide both sides of the equation by 14

[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]

Answer:

x = -1/2

Step-by-step explanation:

4x-2=18x+5

-2-5=18x-4x

-7=14x

-7/14=14/14x

-1/2=x

a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?

Answers

Answer:

it will be 736 speed faster than

Could use help on this math problem ​

Answers

Answer:

78

90

86

96

09

Step-by-step explanation:

80

90

90

OK LA sir I will complete my work as soon as possible LA thank you la madam My name is now signing off

can anyone help me out with this one?

Answers

a(n)=a1 + (n-1)d
a1=12
d=5-12=-7
a(n) = 12+(n-1)(-7)


Solve for x.
(2x - 5°
(5x + 10)
B

Answers

i think the answer is x=25. if not then it’s x=-5

Will mark as brainliest!

Answers

Answer:

[tex]f=12-\frac{t}{20}[/tex]

Step-by-step explanation:

State the gradient of the line 2y = 3 – 2x.

Answers

Answer:

Step-by-step explanation:

2y = 3-2x

y = -x + 3/2

Slope of line = coefficient of x = -1

A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be

Answers

Answer:

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

Please help due tomorrow

Answers

the scale factor is 3. all of them are 3.

The scaled factor is 3 for all of them.

enter the range of values for x:

Answers

12x because you multiply it

Which of the h values are solutions to the following equation?
h^2=0.36
Choose all answers that apply:

A: h= square root of 0.6
B: h = square root of -0.6
C: h = 0.18
D:h = -0.18
E: None of the above

Answers

Answer:

a:h=square root of 0.6

Step-by-step explanation:

thank you for your time today

Answer:

none of the above

Step-by-step explanation:

KHAN

What is the value of (-1/4 - 1/2) ÷ (-4/7)

Answers

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

Please help solve please

Answers

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^

The answer is -12
The picture below explains it

(x3)(x-5)
Fududeey
X=2

Answers

Answer:

-18 is the right answer..

The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day​

Answers

Answer:

45000rupees

Step-by-step explanation:

cost of 1 litre of petrol=60rupees

cost of 750 litres of petrol=750×60rupees

=45000rupees

Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.

Answers

Step-by-step explanation:

your answer

mark me a brainlist

One number exceeds another by 12 and their sum is 44 find the two numbers you

Answers

Answer:

Step-by-step explanation:

x - first

x + 12 - second

x + (x + 12) = 44

2x=44-12

x=16

first number is 16

second number is 16+12=28

two numbers are 16 and 28

16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44

One number exceeds another by 12 and their sum is 44

We need to find the two numbers

What is equation?

Two expressions with equal sign is called equation.

Let x be the first number

x + 12 be the  second number

x + (x + 12) = 44

2x=44-12

x=16

Therefore first number is 16

second number is 16+12=28

To learn more about solving equation click here: https://brainly.com/question/24638714

#SPJ2

Jungwon has $15. Notepads cost $2.50 each. How many notepads can Jungwon buy?​

Answers

15 divided by 2.50 is 6
So Jungwon has $15 and each notepad costs $2.50. We need to find out how many notepads Jungwon can buy with $15. Simply take $15 and divide that by $2.50, you get 6. Jungwon can buy 6 notepads with $15.

Someone please help me with 13 and 14 I’m really struggling

Answers

Answer:

Step-by-step explanation:

PLZ HELP WITH BOTHHHHH

Answers

Answer:

(5,2)

(6,-6)

Step-by-step explanation:

What number should be added to 2/8 to -1/12 get ?​

Answers

Answer:

-1/3

Step-by-step explanation:

this is the best answer

What is this number sentence equal to?

If you could help, thank you so much!

Answers

the answer is 18.63 :)

Answer:

18.63

Step-by-step explanation:

[tex] \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03[/tex]

[tex]10 + 8 + 0.6 + 0.03 = 18.63[/tex]

A coin is flipped two times and the number of heads is counted. Which of the following is a valid assignment
of probabilities for the number of heads observed in two flips?
8.
Number of heads
Probability
0
1/10
1
5/10
2
4/10
b.
Number of heads
0
1
2
Probability
1/4
2/4
1/4
C.
0
1
Number of heads
Probability
2
1/3
1/3
1/3
d. All answer options are correct

Answers

Answer:

5/10, 1, 2/4,

Step-by-step explanation:

Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?

Answers

Answer:

Answer = he made 7,000 in July and sold 10 cars in august.

Step-by-step explanation:

How would you write 5x5x5x5x5x5 in exponential form

Answers

Answer:

5^6

Step-by-step explanation:

This is because the exponent is how many numbers are in the multiplication equation, in this case, five. Because there are six five's being multiplied together, our exponent is six.

Is [tex]2 \frac{2}{3} [/tex]
a rational number​

Answers

Yes it’s a rational number.

i’m genuinely confused, please help

Answers

Answer:

2x + 3 + 3x +12 + 90 = 180 (degree )

5x +105=180 (degree )

5x= 180-105 (degree )

5x = 75 (degree )

x = 75/5 (degree )

x = 15 #

therefore, 2x + 3= 2*15 + 3

=30+3

= 33#

3x + 12 = 3*15+12

= 45 +12

= 57#

Other Questions
Find the value of this expression if x - -7.x2 - 1x+4Enter the correct answer How do you define federal election in australia? have you ever given a gift to anyone? What did you give and how did you feel? hey please help ill give brain How is written prose more complex than informal speech? Simplify: 2(a-4)+15=13 the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way Density and Years: What do you know?Objectives: determine and compare density of pennies to assess composition. Procedure:1. Read the directions and create a data table accordingly.2. Place 15-20 pennies in order of consecutive dates. Find the mass of each penny and record.3. Find the volume of all 5 pennies by water displacement and record in your data table. Record the volume adding 5 more pennies at a time until you have measured them all (15-20).a. Find the average volume of 1 penny.4. Calculate the density of each penny and graph according to the year.5. If the density of copper is 8.96 g/cm3 what would the mass of a pure copper penny be?6. Draw a conclusion.7. How might this relate to a real world example? 4. Complete the following explanation to show that the sum of two rational numbers arational number.Let a,b,c and d be integers. Let x and y be rational numbers. Consider the followingexpression:* = and y =The above expressions represent theIf x + y = y + xrepresents thethen, we can use theto show that x +y = 3+. Using the rule for addition offractions to write an equivalent expression for x + y = 4+we obtainThe product of two integers results in an integer, so bd, ad and cb are all integers. Also.since the sum of two integers results in an integer, ad + cb is an integer. Therefore,xty is Which of the following sentences with a parenthetical expression is punctuated correctly?Of course the girls couldn't wait, to jump in the pool on such a hot day.Of course, the girls couldn't wait to jump in the pool on such a hot day.Of course the girls, couldn't wait to jump in the pool, on such a hot day.Of course the girls couldn't wait to jump in the pool, on such a hot day. How does Macbeth relate to Shakespeare's background and how is it appropriate what is the definition of Concentration Gradient? Which statement is true?A. When a gas condenses to a liquid, it absorbs energy.B. When water boils, it releases energy.C. When ice melts, it absorbs energy.D. When water freezes, it absorbs energy. 7x-5y Joe was driving on the highway a car ahead of him was driving far below the speed limit so he decided to pass. In the first second he gained(gained means to get nearer to something you are chasing) 5m on the car and as he accelerated he gained 1.5 times as much distance in each second as he had the second before. If there was 30 m between joe and the car he was passing then how long did it take him to pass AAAAAAAAAAHHHHHHHHHHHH !!DUE TODAY, NEED HELP ASAP!!A student measured the masses of some aluminum and copper cylinders of different volumes. The data is displayed below:Aluminum: Copper: Volume (mL)Mass (g)Volume (mL)Mass (g)3.79.991.816.02616.22.320.478.522.993.531.1510.74294.237.381540.55.851.62On graph paper graph the data above on ONE graph. Use the graph paper so the longer side is your y-axis.Use up the majority of the graph paper. Do not make a small graph!Use a ruler/straight edge so you graph is neat.You will need to plot the points for each substance and create a double line graph. When connecting your points for each substance, continue the lines past the plotted points. Be sure to include a key to identify the substances. Make your X-axis volume(mL) and your Y-axis mass(g)Look at the numbers for both substances when creating your scales. You will most likely have a different scale for mass and volume. What is the lowest number? What is the highest number? What does it make sense to go by? Calculate the density of each metal. Aluminum:_________________________ Copper:________________________What happens to the mass of the copper at the volume increases from 6 to 8mL?Which sample is more dense? How does the graph show you this? please help easy maths Mrs. Richards had a coupon for one-third off her total bill at the localgrocery store. She bought 2 boxes of cereal for $3.49 each, three cartonsof ice-cream for $2.99 each, and a six pack of soda for $1.99. How muchwas her bill with the discount? in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill