Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 5θ

Answers

Answer 1

Answer: Short answer. X axis. This is a teaching lesson intended to show you what the odd and even graphs look like.
Remark
You should always try to draw these kinds of questions using a graphing calculator or some sort of program on the internet that imitates a graphing calculator. Begin by looking at the diagram on the left. Are there any clues which one you should pick?

There are. Notice the "leaf" that's on the plus x axis. It looks the same on both sides of the x axis.

There are 4 other leaves. Do they confirm your suspicion? They should. The next leaf counter clockwise above the one on the x axis is the mirror image of the leaf that is next clockwise to the one symmetrical about the x axis. Those two are mirror images.

Comment
What would happen if you were give an even number of leaves? Try 4.
r = 5*cos(4 theta). Notice that 2n leaves are produced (2*4 = 8 in this case). Notice also that you have a symmetry for the origin.

Finally
If the topic interests you, go to desmos and try r = 5*sin(4*theta) and r = sin(5*theta). Are there any differences?

Remember to be working in polar coordinates in desmos.

Answer 2

Answer:

Answer:

x-axis

Step-by-step explanation:

r=4 cos⁡5θ

∙Subsitute (r,-θ)in the given function

4 cos⁡〖5θ=4 cos⁡5(-θ) 〗,then r(θ)=r(π-θ)

∴Thus,it is symmetric about x-axis.

Since

4 cos⁡〖5θ≠-4 cos⁡5(π-θ) 〗

∴Thus,it is not symmetric about y-axis.

∙Since

4 cos⁡〖5θ≠-4 cos⁡5(π+θ) 〗

∴Thus,it is not symmetric about the origin

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Given the point (3,4) and the slope of 6, find Y when X =27

Log11 1/121=-x-4 stupid math

Answers

$log_(11)121=-x-4\n\nlog_(11)11^2=-x-4\n\n2=-x-4\n\nx=-4-2\n\nx=-6$

$log_(11)(1)/(121)=-x-4\n \n log_(11)11^(-2)=-x-4\n \n 11^(-x-4)=11^(-2)\n \n -x-4=-2\n \n -x=-2+4\n \n -x=2\n \n \boxed{x=-2}$

Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink?

Answers

12+4+8=24.The ratio of the red balls is 8.

The ratio of the number of red balls to the number of balls that are yellow will be 2/3 and with pink will be 2.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red.

Then the number of red balls will be

⇒ 24 - 12 - 4

⇒ 24 - 16

⇒ 8

The ratio of the number of red balls to the number of balls that are yellow will be

⇒ 8 / 12

⇒ 2/3

The ratio of the number of red balls to the number of balls that are pink will be

⇒ 8 / 4

⇒ 2

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ2

On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

Answers

$(1)/(4)\ in\ on\ the\ map \ \rightarrow\ \ 12\ miles\n \nx\ \rightarrow\ 66\ miles\n \n12\cdot x= (1)/(4)\cdot 66\ /:12\n \n x= (33)/(2) \cdot (1)/(12) \n \nx= (3\cdot11)/(2\cdot3\cdot4) \n \nx= (11)/(8) \ [in]\n \nx=1.75\ [in]$

it'll be 1 $(5)/(6)$ inches on the map

since 12 miles is a quarter of an inch, we need to see how much it will be for 66 miles. we divide 66 by 12, which gives us 5 $(1)/(2)$

we multiply that by $(1)/(4)$ , which gives us thusly 1 $(5)/(6)$ of an inch = 66 miles.

A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold with a square base with edge length of 4 inches and height of 7 inches. The other friend bought a cone with a radius of 2.5 inches and the height of six inches. What is the volume of these three objects?

Answers

Answer:

cylinder — 90π in³
pyramid — 37 1/3 in³
cone — 12.5π in³

Step-by-step explanation:

The volume of a cylinder is given by ...

V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

A = s²

The area of a circle of radius r is ...

A = πr²

___

Using these formulas, the volumes of these objects are ...

cylinder: (9π in²)(10 in) = 90π in³

square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³

cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid

Answer:

12.5

Step-by-step explanation:

Hurry! You work at a campus book store and a customer needs a textbook that you do not have in stock. You can order the textbook from Campus Corner for $129.95, prior to a rebate of $9.00. Books R Us sells the same textbook for $145.00, prior to a discount of 15%. What is the percent difference in the final cost of the two items?

O 0.018%

O 0.019%

O 1.87%

O 1.90%

O 2.10%

Answers

Answer:

.187

Step-by-step explanation:

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track answer

Answers

Let's take full circular length is M
Time taken to reach M/3 is 1min and 45 seconds which is 105 seconds.

Time taken to reach full M
105 seconds / (1/3)
105*3
315 seconds
5 min 15 seconds

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