27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.
e=\frac{4}{3}, r \cos \theta=-3

Answers

Answer 1

The polar equation will be  [tex]r=\dfrac{4}{1+cos\theta}[/tex]

What is the polar equation?

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The  Eccentricity: e = 1

The  Directrix is   y = 4

Generally, the polar equation for e =  1  and y  =  + c is mathematically represented as

[tex]r =\dfrac{e\times c}{1+ecos\theta}[/tex]

[tex]r =\dfrac{1\times 4}{1+1\times cos\theta}[/tex]  

 [tex]r=\dfrac{4}{1+cos\theta}[/tex]

 

Therefore the polar equation will be  [tex]r=\dfrac{4}{1+cos\theta}[/tex]

To know more about the polar equation follow

https://brainly.com/question/9363127

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Related Questions

The figure below shows a rectangular prism with a height of h inches.

Answers

Answer:

the answer is d

Step-by-step explanation:

your welcome

GRAPHING COORDINATES (additional instructions in photo)
I really need help please once I get this done I’ll be able to go to a concert I’ve always wanted to go to I’m just so confused with this please help!!!

Please help!!!! I just NEED to get this done! Read my profile picture so hopefully you can understand my desperation!

(Btw if you help with this question go answer this same question there’s 2 others for more points!)

Answers

Answer: The answers are in the screenshots

Step-by-step explanation:

For the first one you have to find the points first then multiply each of the points by 2 because it is dilated by 2, then you will get the answers of the two windows.


For the second one you have to -10 for the y axis, then you will have to make all the x values negative, then you will get the points for the door. (I did not do the doorknob, you can try doing it)

If you need help search the formula for dilation, translation, reflection and more.


Hope this helps

Please help me with this I would give you 50 points.
FEET 1 4 5
INCHES 24 36

Answers

Answer: feet: 1, 2, 3, 4, 5

          inches: 12, 24, 36, 48, 60

Step-by-step explanation:

There are 12 inches in a foot, therefore if you have 1 foot you have 12 inches, if you have 2 feet you have 24 inches becauase 2*12 = 24 and so on...

There are 12 inches in 1 foot. Therefore, 1 ft = 12 inches, 2ft=24 inches 3ft =36inches, and so on.
To find how many inches = the amount of feet you would simply multiply the number of feet by 12.
For example 4ft would be 4x12=48. Or 5ft would be 5x12=60
Therefore 4ft =48inches. And 5ft =60inches
If u are given an amount in inches to determine feet you would divide by 12
For example
84 inches into feet would be solved by dividing 84by 12
84/12=7
you now know that 84inches =7feet

Select the equivalent expression. (3² - 5)³ =?​

Answers

Answer:

(9 - 5)^3 = ?

or

9^3 - 5^3 = ?

Answer:

64

Step-by-step explanation:

The computation inside the parentheses must be done first according to Order of Operations rules:

(3² - 5)³  =  (9 - 5)³  =  4³  =  64

Rewrite 6 3/5 as an improper fraction.

Answers

Answer:

33/5

Step-by-step explanation:

the answer is 33/5

multiply 5 and 6 then subtract by 3.

1. A coin is flipped 100 times. The results are 42 heads and 58 tails. What is the relative frequency of getting heads?
A. 56%
B. 50%
C. 58%
D. 42%
----------------------------------------------------------------------------------------------------------------------------
This table shows the results of rolling a standard number cube.
What is the approximate experimental probability of rolling a number less than 3?
Answer choices:
19%
17%
26%
33%

Answers

1) Correct option is C)

A fair coin is tossed 100 times and the head occurs 58 times and tail 42 times.

The experimental probability of getting a head is :

P(E)=

Total outcomes divided  by Number of head

58/100 = 29/50 (29/50x100) = 58% (C)

2) 19%​

Answer:

1. 42%

2. 33%

Step-by-step explanation:

1. Relative frequency = Number of successful trials ÷ Total number of trials

plug the numbers in and we get 42/100. 42/100 = 0.42 = 42%

2. Experimental probability = Number of in which the outcome occurs ÷ Total number of trials

plug the numbers in and we get 2/6 = 1/3 = 33%

pls help me no links

Answers

1/2*base*height

=1/2*10*24
=1/2*240
=120units sq

Step-by-step explanation:

The semi-perimeter is:

s = (a + b + c) / 2

= (10 + 24 + 26) / 2

= 47

We will find the area of the triangle using the Heron's formula.

A = √[s (s - a) (s - b) (s - c)]

= √[47 (47 - 10) (47- 24) (47 - 26)]

= √10 × 37 × 23 × 21

= √ 56513

237

Problem-solving: Comparing Strategies

Answers

Didn’t do 1. 2 is 12. 3 is 112.5. And 4 is 2.

I need help its due today lol

Answers

Answer:

7= 120 8= 175

Step-by-step explanation:

all you have to do is times the numbers

Answer: the answer to number 7  is 17  answer to number 8 is 24

Step-by-step explanation:

Use the pythagorean theorem

a^2  + b^2 = c^2

PLEASE HELP !!!!!!

find the missing number on the number line

Answers

Answer:
The answer is 1
Step-by-step explanation:
The number line is in the negatives until it hits the ? so it's 1
the answer is one. count the halfs and lines and you will get 1

which graph represent the liner function y= 1/3 x -4?

Answers

The answer would be this graph.

Answer:

Graph 3

Step-by-step explanation:

equation: y = mx + b → y = 1/3x - 4

- m is the slope (slope = rise / run):

- b is the y intercept (when x = 0): -4

Graph 1 is incorrect because the y-intercept is 1.5 on this graph when the equation is -4

Graph 2 is incorrect because the slope is 3 / 1, the rise is 3 and the run is 1

the correct equation for this graph is y = 3x - 4

Graph 3 is correct because the slope is 1/3, the rise is 1 and the run is 3

and the y intercept is -4

Graph 4 is incorrect because the y-intercept is not even shown

Select the equivalent expression.​

Answers

Answer:

3¹²/7⁹

Step-by-step explanation:

(3⁴/7³)³
3¹²/7⁹ (Exponents multiply when a number with a exponent is kept inside a bracket with another exponent outside)

A, 4 x 3= 12, and 3 x 3= 9 so those are equivalent

HELP PLEASE GIVING AWAY 30 POINTS

Answers

Answer:

48 inches.

Step-by-step explanation:

The triangle is an isoscele triangle.

An isosceles triangle is a triangle with two sides of the same length.

h is opposite of the other side of 48 inches and judging by the picture, it looks exactly the same, therefore the answer is 48 inches.

Answer:

48 inches

Step-by-step explanation:

the guy a bouve me is right

Find n. 16/64 n/8 please :)

Answers

n = 2 because thats what you whet when yiou simplify it

64 divided by 8 is 8
16 divided by 8 is 2 so the answer is 2

Please help me with this I would give you 50 points.

Answers

i’m pretty sure that it is 81.25$
I think the answer is $81.25

Calculate the areas of these shapes. Show your work.

Answers

The area of a triangle is b + h divided by 2.
5 is the base 4 is the height so, 4x5=20 and 20/2 =10
so 10 is the answer.
Triangle:half of base x height which is 10
Parallelogram: base x height which is 54
Trapezoid: half of base1 + base2 x height which is 17.25

Owen has monthly expenses that total $3189 what is the hourly wage working 40 hours per week needed to pay for his expenses assume there are 4 weeks in one month
A. $39.86
B. $72.73
C. $18.11
D. $19.93

Answers

Answer:

D

Step-by-step explanation:

4 times 40 is 160 and 3189 divided by 160 is 19.93

have a great day

The answer is d, 4 weeks timed 40 hours is 160 and 3180/ 160 is 19.93

Write and solve a proportion to answer the question. (Skills Review Handbook) 22. 30 is 15% of what number?

Answers

Answer:

The answer is 148.6666667

Step-by-step explanation:

1) Set a linear quation

[tex] \frac{22.30}{x} = \frac{15}{100} [/tex]

2) Cross multiply

[tex]15x = 22.30 \times 100[/tex]

3) Multiple the right side

[tex]15x = 2230[/tex]

4) Divide both side by 15

[tex] \frac{15x}{15} = \frac{2230}{15} [/tex]

5) Solve the linear equation

[tex]x = 148.6666667[/tex]

Which of the following fractions is equivalent to 9/15?

Answers

Answer:

B.) 36/60

Step-by-step explanation:

some

equivalent fractions of 9/15:

3/5 = 6/10 = 9/15 = 12/20 = 15/25 = 18/30 = 21/35 = 24/40 = 27/45 = 30/50 = 33/55 = 36/60

Answer:

36/60

Step-by-step explanation:

Either Cross Multiply or Turn into decimal to find the following answer.

For this question I suggest to turn into decimal.

Cross multiply would take longer time, but if you wish you could use both ways to check your answer.

I will be turn into decimal:

Main Fraction: 9/15 ⇒ 0.6

3/10 ⇒ 0.3

36/60 ⇒ 0.6

27/35 ⇒ 0.77142857142

20/30 ⇒ 0.66666666666

As you can see out of all the fractions:

36/60 is equal to 9/15

Kavinsky

4. IN YOUR OWN WORDS How can you find the area of a composite figure?

Answers

The given area of any composite figure can be subdivided into triangles, rectangles, squares, trapezoids and lastly semi circle and with the given question calculate their areas and combine them together.

please help me guys.......

Answers

Answer:

9

Step-by-step explanation:

9+9= 18

Pretty sure its +9 cuz if you add 9 to all of the in put they come out as the out put

Do 16/22 and 24/33 have the same value? Explain your answer in complete sentences.

Answers

Answer:

Yes,

Step-by-step explanation:

16/22 = 0.72727272727

24/33 = 0.72727272727

When translated into decimals, they both equal 0.72 reoccurring.

x = 0.72727272727...

10x = 7.2727272...

100x = 72.727272727...

100x - x = 90x = [tex]\frac{72}{90}[/tex] which can be translated/simplified into [tex]\frac{16}{22}[/tex] and [tex]\frac{24}{33}[/tex]

pls give brainliest if this helped !!

please help
Find the volume of the triangular prism.
I only have a few min

Answers

Answer:

18 +2 + 2.5 + 3 = 25.5

Step-by-step explanation:

just add

18+2+2.5+3
=25.5 this is the answer

The width of a rectangle is four units less that its length. Write an expression for the perimeter of the rectangle

Answers

(2w-8)+2L because there are 2 sides for the width 2*4=8 so 2w -8 plus 2L

Please help me with this I would give you 50 points. Mrs. Hall's sixth-graders walk laps every day on the school track. the following are the numbers of laps the class competed in that lasted 12 weeks

15,18,20,20,10,22,14,7,18,19,15,23

create a box plot of the data.

Answers

Answer:

Refer to image below

Step-by-step explanation:

The length of a shoe is 25 centimeters. How long is the shoe in meters?
(1 meter = 100 centimeters)
-2500 meters
-2.5 meters
-0.25 meters
-250 meters

Answers

Answer:

it is .25 meters

Step-by-step explanation:

It is .25 meters because 25 is a quarter of 100.

please help 50 point will be given!!

Answers

Answer:

12

Step-by-step explanation:

Count how many there are per meat mixed with all three different veggies, sounds weird in writing but makes sense if clarified by speech. anyways hope this helped have a great night!

9
beef spinach, beef broccoli, beef carrots

chicken spinach, chicken broccoli, chicken carrots

fish you get it

help me please thank u

Answers

Answer:

[tex]225 {m}^{3} [/tex]

Step-by-step explanation:

To find the volume of the shape first we have to split the shape into two rectangles; a large one at the bottom and a small one at the top. The formula to find volume of a rectangle is

[tex]v = length \times width \times height[/tex]

note that after both volumes are found they should be added to determine the volume of the entire shape*

The length of the large rectangle is 5m, the width is 7m, and the height is 6m. Therefore the volume is

[tex]v = l \times w \times h \\ v = 5 \times 7 \times 6 \\ v = 210 {m}^{3} [/tex]

The length of the small rectangle is 5m, the width is 3m, and the height is 1m. Therefore the volume is

[tex]v = l \times w \times h \\ v = 5 \times 3 \times 1 \\ v = 15 {m}^{3} [/tex]

[tex]210 {m}^{3} + 15 {m}^{3} = 225 {m}^{3} \\ therefore \: the \: volume \: of \: the \: \\ entire \: shape \: is: \\ 225 {m}^{3} [/tex]

Answer:

[tex]V_{\ total}=225\ m^3[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the big box

[tex]V_{\ big} = l * w * h[/tex]

[tex]V_{\ big} = 7\ m * 5\ m * 6\ m[/tex]

[tex]V_{\ big} = 210\ m^3[/tex]

Step 2:  Find the volume of the small box

[tex]V_{\ small} = l * w * h[/tex]

[tex]V_{\ small} = 3\ m * 5\ m * (7\ m - 6\ m)[/tex]

[tex]V_{\ small} = 3\ m * 5\ m * 1\ m[/tex]

[tex]V_{\ small} = 15\ m^3[/tex]

Step 3:  Combine the volumes

[tex]V_{\ total}=V_{\ big} + V_{\ small}[/tex]

[tex]V_{\ total}=210\ m^3 + 15\ m^3[/tex]

[tex]V_{\ total}=225\ m^3[/tex]

Answer: [tex]V_{\ total}=225\ m^3[/tex]

savannah works as a sales rep and receives $23.80 for every $140 she sells. what is her rate of commission?

Answers

Answer:

23.80/140 = 0.17 = 17%

Step-by-step explanation:

Answer:

23.80/140 = 0.17 = 17%

Step-by-step explanation:

Please help ASAP Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.

Answers

A the top answer is it
7+(-8) is the answer so the top one
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