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]
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4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.
x^{2}=-3 y
Answer:
vertex - (0,0)
focus - (0, 3/4)
directrix - 3/4
parabola- x^2=-3y
graph of equation:
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Which ratios are equivalent to the given ratio?
3 to 2
Select each correct answer.
1510
23
4:12
6 to 4
18:12
13.33:
For a set of ten numbers, removing the largest number decreases the average by 1. Removing the smallest number increases the average by 2 . What is the positive difference between the largest and the smallest of these ten numbers?
Hint: Sometimes thinking of the average of a list of numbers as "balancing" the list helps solve problems.
Hint: How far must the largest number be from the average of the origiNl list?
Answer: The mean will have a higher value than the median. A data set distribution that is skewed right is asymmetrical and has a large number.
Step-by-step explanation:
given the function f(x) = x2 - 4 + 3, what is the output of f(-3)?
x2(second power)
A). 24
B). 21
C). 0
D) -3
Answer: 0
Step-by-step explanation:
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PLEASE ANSWER ASAP ^^
Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden?
Answer:
12.5 unit square
Step-by-step explanation:
The area of a trapezoid is calculated with the following formula:
(b1 + b2)*h/2 (b1: base, b2: base, h: height)
(4+6)*(2.5)*2 = 12.5
2. The lengths of three rods are $6 cm, 10 cm, and 11 cm. How can you use these rods to measure a length of 15 cm ?
26cm 10cm 11cm
Step-by-step explanation:
help me please thank u
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]
The table below shows the price, y, of ground beef based on weight, x. Given that y is proportional to x, what would be the price of 3 pounds of meat?
please help me with this square!
Answer:
EF
Step-by-step explanation:
its EF because its on the same corresponding side as LM
BRAINIEST PLS MY LADY
Answer:EF
Step-by-step explanation:
corresponds means having a close similarity; match or agree almost exactly. and by looking at the graph EF corresponds with LM meaning that EF is the answer.
Hope this helps, have a good day/night!
Helppppp
I summon fieryanswererft :D
:DDDDD
Answer:
5446 cm²
Explanation:
Area of triangular prism = Base × Height + Length × (perimeter of base)
Here given:
Base: 24Height: 35Length: 47 cmPerimeter of Base: (37 + 24 + 37) = 98 cm==========================================
Solve for Surface Area = 24 × 35 + 47 × (98) = 5446 cm²
A recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. Jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple juice.
Which recipe will have the stronger pineapple taste?
which irrational number is the GREATEST?
Answer:
None
Step-by-step explanation:
Irrational numbers are numbers that go on and on. Since none of them ever end, there cant be a greatest irrational number.
Can someone answer this
Answer:
C
Step-by-step explanation:
Snow because the temperature is below freezing and the previous days forcast had clouds that indicated at least rain which would turn to snow
Answer:
Snow
Step-by-step explanation:
If the temp is below 30 degrees which is freezing, and it is going to percipitate ( i.e. rain, snow, sleet, hail,) it will be either snow sleet or hail because the rain will freeze due to the cold temperatures.
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Answer:
D
Step-by-step explanation:
D is correct because the graph shows books' thickness starting at 1 1/2 inches thick and it fits. C would not fit because it is a simple answer rather than showing an entire graph. Sorry if this is wrong. I'm almost positive this is right though. Have a good day/night! :D
Writing a Complex Number in Standard Form In Exercises 11-22, write the complex number in standard form.
11. 8+\sqrt{-25}
Answer:
Step-by-step explanation:
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What is the interquartile range of this data set?
{18, 17, 10, 25, 20, 20, 30, 18, 18, 30, 25}
Enter the answer in the box.
Answer:
7
Step-by-step explanation:
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 70 feet. His back yard has a length of 10 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase?
The first thing we must do for this case is to calculate the area of both yards.
We have then:
front yard:
A1 = (50) * (80)
A1 = 4000 feet ^ 2
Back yard:
A2 = (10) * (30)
A2 = 300 feet ^ 2
"Jayden wants to lay sod on his front yard and on half of his back yard"
Then, the total amount will be:
A = A1 + (1/2) A2
Substituting:
A = 4000 + (1/2) (300)
A = 4000 + 150
A = 4150 feet ^ 2
Answer:
jayden needs to purchase 4150 square feet of sodd
Answer:
Its an area equation. Area is length times width.
So to start, he needs 50 x 80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.
Now for the easy part. Take the 4000 and add 200. Answer? 4,200.
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Answer:
the answer is 15
Step-by-step explanation:
hope i helped :)
Brainliest! Please help me
Answer:
the answer should be 4/8 hopefully because first of all you need to use a method that can help you save your life which is cross multiplying.
_1_= __?_
2 8
you multiplied first 1 times 8 and then divide by 2 in which you will get an answer of 4/8 and to check it you divide 1/2 which gives you 0.5 and then divide 4/8 to see if it is an equivalent fraction and it will give you 0.5 in which yes sir its an equivalent fraction so 4/8 is the correct answer and have a great day.
Step-by-step explanation:
A rectangular prism is 15 centimeters long, 33 centimeters wide, and 29 centimeters high. What is the surface area of the rectangular prism?
Help!
Answer:
hey!!!
3774 is the answer
please read the explanation... it always helps!!!
Step-by-step explanation:
okay i want you to imagine a tissue box... there are six sides... 4 that are equal in measure and the other two that are equal in measure... (i hope that was helpful and not confusing!! lol)
2 (15*33 + 15*29 + 33*29) = 3774
3774 cm squared
Answer:
total surface area = 3774 cm2
lateral surface area = 2784 cm2
top surface area = 495 cm2
bottom surface area = 495 cm2
Step-by-step explanation:
I just multiplied the dimensions given in question...
hope this helps! :D
PLEASE HELP!!
What is the surface area of the triangular prism shown?
Answer:
volume v: 3494.8 cm²
Step-by-step explanation:
I think I am not sure
Answer: 1008
Step-by-step explanation:
Brainly patrol please don’t delete
In the figure below, the m∠2 is 50°.
∠1 and ∠3 are a pair of ? angles.
Answer:
adjacent
Step-by-step explanation:
Please help me everything you need to know is in the picture
Answer:15,005 or 23.2
Step-by-step explanation:
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.
Answer:
Refer to image below
Step-by-step explanation:
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Answer:
A = 54 units²
Step-by-step explanation:
Area of triangle
[tex]A = \frac{1}{2} \times \text{base} \times \text{perpendicular height}[/tex]
You can read the lengths of the base and the height from the graph. Base is 12 units and height is 9 units. (Count the squares. Or 12 = 13 - 1 and 9 = 14 - 5)
[tex]A = \frac{1}{2} \times 12 \times 9\\A = 54 \text{ units}^2[/tex]
Rewrite 6 3/5 as an improper fraction.
Answer:
33/5
Step-by-step explanation:
On a DVD, information is stored on bumps that spiral around the disk. There are 73,000 ridges (with bumps) and 73,000 valleys (without bumps) across the diameter of the DVD. What is the diameter of the DVD in centimeters? Round your answer to the nearest whole number.
Answer:
I pretty sure it's 8cm.
Step-by-step explanation:
I multiplied 73,000 by 0.000074, which resulted in 5.402.
Then, I multiplied 73,000 by 0.000032, which resulted in 2.336.
I added the products together, which gave a sum of 7.738.
Then I rounded to the nearest whole number, which is 8, because the tenth in the decimal (.7) rounds up because it is >4.
500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.
If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Answer:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
Step-by-step explanation:
The percentage of those people who preferred red is 20%.
What is a percentage?
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).
This means,
Total percentage.
= (13 + 4 + 5 + 15 + 16 + 12)
= 65%
Now,
The percentage of those people preferred red.
= 13%/65% x 100 %
= 13/65 x 100
= 20%
Thus,
The percentage of those people who preferred red is 20%.
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