A kite's symmetrical structure typically forms isosceles triangles due to equal side lengths. Asymmetrical kites generate scalene triangles with varying side lengths, influencing triangle types and angles within based on side intersections.
A kite, with its distinct shape formed by two pairs of adjacent congruent sides, generates triangles within. These triangles can exhibit various properties based on the kite's symmetry. If the kite is symmetrical, the triangles formed tend to be isosceles due to the equal side lengths.
However, asymmetrical kites can yield scalene triangles with sides of varying lengths. The relationship between the kite's structure and the triangle types arises from the lengths and intersections of its sides.
Symmetry tends to create similar or congruent triangles, while asymmetry leads to triangles with differing side lengths. Consequently, the angles within these triangles vary based on the intersection of the kite's sides, resulting in a mix of acute, obtuse, or right angles.
complete the question
What are the possible types of triangles formed within a kite, and how do their properties relate to the structure of the kite? Discuss the potential combinations of isosceles, equilateral, and scalene triangles within a kite, considering the lengths of the sides and the angles formed by the kite's structure."
Choose some numbers to compare to 55 use = and <,> WHAT NUMBERS COMPARE TO 55
There's literally unlimited answers but here are some simple ones.
5 x 11 = 55
55 = 55
55 > 54
1 < 55
3 x 2 < 55
To compare numbers to 55, choose numbers less than, greater than, or equal to 55 and use the appropriate comparison operator. Examples include 50 < 55 (less than), 55 = 55 (equal to), and 60 > 55 (greater than).
To compare numbers with 55 using the comparison operators >, <, and =, we must choose numbers that are either greater than, less than, or equal to 55. For example:
50 < 55 - Here, 50 is less than 55.55 = 55 - Here, 55 is equal to 55.60 > 55 - Here, 60 is greater than 55.When you are comparing numbers, always remember that a number is greater than another if it represents a larger quantity, and it is less than another if it represents a smaller quantity. The equal sign is used when the quantities are identical.
During ___________, reproductive organs start to become mature and secondary growth occurs in males and females due to the release of hormones. A) puberty B) adulthood C) late childhood D) early childhood Eli
During PUBERTY, reproductive organs start to become mature and secondary growth occurs in males and females due to the release of hormones.
Answer= A
During this period, both male and females experience rapid changes.
In males:
• Testes produce sperm and sex hormones (testosterone)
• Height increases rapidly
• Shoulders widen, body becomes more muscular and penis enlarges
• Facial hair grows on chest, in armpits and in pubic regions
• Voice deepens as voice box enlarges
In females:
• Ovaries release mature eggs and produce sex hormones (oestrogen and progesterone)
• Height increases rapidly
• Breasts grow larger, and hips become wider and rounder
• Hair grows in the armpits and pubic regions
• Menstruation starts
Use a composite figure to estimate the area of the figure. The grid has squares with side lengths of 1.5 cm.
Answer:
about [tex]49.1\ cm^{2}[/tex]
Step-by-step explanation:
The area of the composite figure is approximate to the area of the rectangle plus the area of the semicircle at the top of the rectangle plus the semicircle at the right of the rectangle
Find the area of the rectangle
[tex]A=(3*1.5)(4*1.5)=27\ cm^{2}[/tex]
Find the area of the semicircle at the top of the rectangle
[tex]A=\frac{1}{2}\pi (2*1.5)^{2}=4.5 \pi\ cm^{2}[/tex]
Find the area of the semicircle at the right of the rectangle
[tex]A=\frac{1}{2}\pi (1.5*1.5)^{2}=2.53 \pi\ cm^{2}[/tex]
The area of the composite figure is
[tex]27\ cm^{2}+4.5 \pi\ cm^{2}+2.53 \pi\ cm^{2}=(27+7.03 \pi)\ cm^{2}[/tex]
use [tex]\pi=3.14[/tex]
[tex](27+7.03(3.14))=49.1\ cm^{2}[/tex]
A rectangular field has side lengths that measure 5/6 mile and 1/3 mile. What is the area of the field?
Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar completely melt. The table shows the height of the liquid in each jar as it relates to the original depth of snow in the jar.
Which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? Check all that apply.
The points on a graph representing the relationship lie on a line.
There is 0.4 inch of water to every 1 inch of snow.
A line through the points will pass through (0, 0).
The function relating snow depth to water depth is quadratic.
The data can be represented by f(x) = 0.2x.
Answer:
A, C, E
Step-by-step explanation:
From the table you can see that the water depth cahnges
[tex]0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in[/tex]
for every
[tex]4-2=6-4=8-6=10-8=2\ in[/tex] of snow (option B is false).
This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be [tex]y=ax+b.[/tex] Then
[tex]0.4=2a+b,\\ \\0.8=4a+b.[/tex]
Subtract these two equations:
[tex]2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.[/tex]
Hence,
[tex]b=0.4-2\cdot 0.2=0.[/tex]
The equation of the straight line (the graph of linear function) is [tex]y=0.2x.[/tex] (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).
Answer:
A and C
Step-by-step explanation:
Ok listen here. The guy from the other thing said ACE however thats so wrong that I can't explain how wrong that is. how is it wrong you might ask. Well if you can READ the question you know that you should select 2 options
second of all f(x)=0.2^x is saying that if x equals 2 then y is 0.2*0.2 which is 0.04 which is not the result.
I hope this helps more than whatever answer the other answer was. If not then you gotta figure it out yourself
What is the solution to the equation 1 over 6 multiplied by n equals 2 ? (5 points) n = 3 n = 4 n = 12 n = 36
Answer:
C. [tex]n=12[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{1}{6}n=2[/tex]. We are asked to solve our given equation.
To solve for n, we will multiply both sides of our equation by 6 as:
[tex]6\times \frac{1}{6}n=6\times2[/tex]
[tex]n=12[/tex]
Therefore, the solution for our given equation is [tex]n=12[/tex] and option C is the correct choice.
Answer:
C, n = 12
Step-by-step explanation:
I did the test and got it right, and if you doubt my memory I literally just did it and re=checked to make sure it was right. Good luck FLVS student
(Not to mention the other guy with his answer explains why)
What is the value of x? (Only type the numerical value. Do not type x= before your answer)
ANSWER
12
EXPLANATION
Two expressions for the angles in terms of x are given,
The first one is (10x-20)°
The second one is (6x+8)°
The two angles are angles on a straight line.
The sum of angles on a straight line is 180°.
This implies that,
[tex](10x - 20) \degree + (6x + 8) \degree = 180 \degree[/tex]
Group similar terms,
[tex]10x + 6x= 180 + 20 - 8[/tex]
Combine like terms:
[tex]16x=192[/tex]
[tex]x = \frac{192}{16} = 12[/tex]
Therefore the value of x is 12
The value of x is 12°
AngleAngle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Given
The angles are (10x - 20)° and (6x + 8)°.
To findThe value of x.
How to find the value of x?The angles are (10x - 20)° and (6x + 8)°.
We know that the sum of the angles of the line is 180°. then
(10x - 20)° + (6x + 8)° = 180°
Then simplify the equation, we have
10x - 20 + 6x + 8 = 180
16x - 12 = 180
16x = 180 + 12
16x = 192
x = 12°
Thus, the value of x is 12°.
More about the angles link is given below.
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(Q2) Decide if the function is an exponential function. If it is, state the initial value and the base. y=5^x
Answer:
B
Step-by-step explanation:
We can figure out the initial value and base of an exponential function if the function is written in the form [tex]y=a*b^x[/tex] where
a is the initial value, and
b is the base
Note: a ≠ 0 and b ≠ 1
Our equation given can be written in this form by writing it like [tex]y=5^x\\y=1*5^x[/tex]
Thus, this is an exponential function. The initial value is 1 and the base is 5.
The correct answer is B
Answer:
b
Step-by-step explanation:
Enlarge the shapes using the scale factor 1:2
Answer:
the picture is correct
Step-by-step explanation:
Each square on the original shape becomes 2 squares on the enlarged shape, just as you have drawn.
Enlarging shapes using a scale factor of 1:2 involves multiplying each side length by 2.
To enlarge a shape using a scale factor of 1:2, each side length of the shape needs to be multiplied by 2. For example, if a square has sides of length 4 cm, when enlarged with a scale factor of 1:2, each side will become 8 cm. This is because multiplying 4 by 2 gives us 8.
Similarly, if a triangle has side lengths of 6 cm, 8 cm, and 10 cm, when enlarged with a scale factor of 1:2, the new side lengths will be 12 cm, 16 cm, and 20 cm. Each side length is multiplied by 2
Remember, the scale factor tells you how many times larger the new shape will be compared to the original shape. In this case, every length of the shape is being doubled.
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PLEASE HELP QUICK. I'M OFFERING 10PTS (Its only worth 2) AND BRAINLIEST ANSWER
The graph of f(x) = 7x is shifted 6 units to the right. What is the equation of the new graph?
A. g(x) = 7x + 6
B. g(x) = 7(x - 6)
C. g(x) = 7(x + 6)
D. g(x) = 7x - 6
the correct answer choice is B.
The equation of the graph for the function f(x) = 7x after being shifted 6 units to the right is g(x) = 7(x - 6), which is option B.
Explanation:When a graph of the form f(x) = mx is shifted horizontally, this is represented in the equation by manipulating the x variable within the function. A shift to the right by 6 units results in the input value being decreased by 6 before it is multiplied by the slope (in this case, 7). Therefore, the new equation reflecting a horizontal shift to the right is g(x) = 7(x - 6), which corresponds to option B.
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(Q3) Which of the following functions decreases, going downwards from left to right?
Answer: third option
Step-by-step explanation:
By definition, for the function [tex]y=b^x[/tex] if 0<b<1 then the function decreases from left to right
Therefore, it cannot be the options 1 or the option 2.
As the function given in the third option of problem has a negative coefficient (which is -2) and b=0.3 (0<b<1)
[tex]y=-2*0.3^x[/tex]
Then, each ouput value wil be negative.
Therefore, you can conclude that the function [tex]y=-2*0.3^x[/tex] decreases and going downwards from left to right.
Answer:
The answer is B.
Step-by-step explanation:
got it right on edge.
Sal conducted an online survey to find out which kind of music people like best. The circle graph displays the results. If 250 people responded to the survey, how many people chose rap as their favorite kind of music?
A. 24
B. 54
C. 60
D. 76
Answer:
Hence, the total number of people who chose rap as their favorite kind of music is:
60 people
Step-by-step explanation:
The percentage of people who like different kind of music are given by:
Music Percent
Rock 'n' Roll 28%
Rap 24%
Hip Hop 20%
Jazz 18%
Other 10%
Total number of people who responded to survey=250
Hence, the number of people who chose rap as their favorite music is:
24% of 250
i.e. 24%×250
= 0.24×250
=60
Hence, people who chose rap are:
60 people.
Thomas hiked 6 miles on Monday 10 miles on Tuesday and 8 miles on Wednesday which value is closest to the mean number of miles he hiked over the three day period
Answer:
8 miles
Step-by-step explanation:
6 + 10 + 8 = 24
24/3 = 8
Answer:
8 miles
Step-by-step explanation:
because im not d∪mb⇔π⊄⊅⇅
Find the volume of each cylinder. Round your answers to the nearest tenth if necessary. Use 3.14
Answer:
I need to see the diagram
Step-by-step explanation:
Determine whether the following statement is true or false. Explain. When obtaining a stratified sample, the number of individuals included within each stratum must be equal. Choose the correct answer below. A. False. A stratified sample is constructed by successively selecting a stratum at random and then selecting a random individual from within that stratum. With this process, it is unlikely that all strata will be sampled from the same number of times. B. False. Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population. C. True. Sampling the same number of people from each stratum will result in a sample that is representative of the population at a lower cost than a simple random sample. D. False. When taking a stratified sample, a simple random sample is drawn from one stratum at random. All other strata will not be included in the sample.
Answer:
B. False. Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.
Step-by-step explanation:
In a stratified sample, each stratum should be proportional to that category of the population. This means that each stratum would potentially have a different number of elements in it.
The statement is false. Stratified sampling does not require the number of individuals to be equal within each stratum.
Explanation:The statement 'When obtaining a stratified sample, the number of individuals included within each stratum must be equal' is False. When using stratified sampling, the number of individuals included within each stratum does not have to be equal. In stratified sampling, the population is divided into different groups or strata based on certain characteristics, and then individuals are randomly selected from each stratum. The number of individuals selected from each stratum is often proportional to the size of the stratum in the population, which makes the sample more representative.
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Note: Figure not drawn to scale.
What is the value of a°?
A) 28°
B) 45°
C) 62°
D) 73°
Answer:
B. a° = 45°Step-by-step explanation:
Look at the pictute.
Angles 45° and a° are Alternate Interior Angles.
Alternate Interior Angles are congruent. Therefore the measures of Alternate Interior Angles are the same.
Answer:
c 62
Step-by-step explanation:
i did the usa test prep :)
The table shows Zack's daily pay with respect to the hours he works.What is the rate of change of pay,y, with respect to hours, x?
Answer:
B.
Step-by-step explanation:
63/4= 15.75
The rate of change of pay with respect to hours is $15.75 per hour.
How to find the rate of change of pay?The rate of the change by calculated by dividing the total pay by the corresponding number of hours.
We can find the rate of change of pay with respect to hours as follows:The amount of money he earns is $63 in 4 hours.
Rate of change of pay = $110.25 - $63/7 - 4 per hour
= $15.75 per hour
This is consistent with the other values in the given table.
Rate of change of pay = $141.75 - $110.25/9 - 7 per hour
= $15.75 per hour
Therefore, we have found the rate of change of pay, y, with respect to hours, x to be $15.75 per hour. The correct answer is option B.
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Can a hermaphrodite have a baby with them self..............
no a hermaphrodite can not have a baby with themselves that is not possible
Hermaphroditism varies across different species, So, some organisms may have evolved the ability to self-fertilize under certain conditions, while others may not have that capability at all.
A "hermaphrodite" is an organism that has both male and female reproductive organs. While hermaphroditic organisms have the potential to produce both sperm and eggs, self-fertilization, or the ability to fertilize their own eggs with their own sperm, is not a common occurrence in nature.
In most cases, hermaphroditic organisms still require a mate to reproduce. They can engage in a process called reciprocal fertilization, where two hermaphroditic individuals exchange gametes (sperm and eggs) to fertilize each other's eggs. This allows for genetic diversity and avoids the limitations associated with self-fertilization.
However, it's important to note that hermaphroditism varies across different species, and the reproductive mechanisms can be complex. Some hermaphroditic organisms may have evolved the ability to self-fertilize under certain conditions, while others may not have that capability at all.
In summary, while hermaphrodites have both male and female reproductive organs, self-fertilization is not a universal characteristic among them.
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Multiplication of fractions can be represented in two ways: _____________ and ____________
Answer:
Is it grouping and adding?
(This is probably wrong, sorry)
Answer:
We can multiply fractions using either a model or a paper and pencil
hopes this helps have a wonderful day
Find the absolute value of the following integers:
a. 9
b. −14
c. 0
d. −135
e. +1,408
1) 9,-9
2) 14
3) 0
4)135
5)-1408, 1408
the absolute value of 9 is 9. the absolute value of -14 is 14. the absolute value of 0 is 0. the absolute value of -135 is 135. the absolute value of 1,408 is 1,408.
Evaluate the logarithm. ln=1/√e^3
Answer:
option b
-3/2
Step-by-step explanation:
Given in the question an expression
ln[tex]\frac{1}{\sqrt{e^3} }[/tex]
First apply logarithm divide rule
[tex]ln\frac{1}{\sqrt{e^3} }[/tex] = ln1 - ln√e³
ln(1) = 0
so
ln1 - ln√e³ = 0 - ln√e³
-ln√e³ = -ln(e³)^1/2
Apply logarithm power rule
- ln(e³)^1/2 = -lne[tex]^\frac{3}{2}[/tex]
-3/2ln(e)
As we know that
ln(e) = 1
so,
-3/2(1)
-3/2
Answer:
b. [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The given logarithm is
[tex]\ln(\frac{1}{\sqrt{e^3} } )[/tex]
Use the quotient rule of logarithm; [tex]\ln(\frac{a}{b})=\ln(a)-\ln(b)[/tex]
[tex]=\ln(1)-\ln(\sqrt{e^3})[/tex]
[tex]=\ln(1)-\ln(e^{\frac{3}{2}})[/tex]
Use the power rule; [tex]\ln(a^n)=n\ln(a)[/tex]
[tex]=\ln(1)-\frac{3}{2}\ln(e)[/tex]
Recall that logarithm of 1 is zero and also logarithm of the base is 1.
[tex]=0-\frac{3}{2}(1)[/tex]
[tex]=-\frac{3}{2}[/tex]
point A is locatee at (2,8) and point B is located at (8,5). what point partitions the directed line segment AB into a 1:3 ratio
Answer:
The point is (3.5 , 7.25)
Step-by-step explanation:
∵ A = (2 , 8) and B = (8 , 5)
∵ Let point P divides AB into a ratio 1:3
∵ [tex]x=\frac{m_{2}x_{1}+m_{1}x_{2}}{m_{1}+m_{2}}[/tex]
∵ [tex]y=\frac{m_{2}y_{1}+m_{1}y_{2}}{m_{1}+m_{2}}[/tex]
∴ x-coordinate of P = (2)(3) + (8)(1)/3 + 1 = (6 + 8)/4 = 3.5
∴ y-coordinate of P = (8)(3) + (5)(1)/1 + 3 = (24 + 5)/4 = 7.25
∴ P = (3.5 , 7.25)
The point that partitions the directed line segment AB into a 1:3 ratio is P(3.5, 7.25), calculated using the section formula.
To find the point that partitions the directed line segment AB into a 1:3 ratio, we use the section formula. The section formula for a point P(x, y) that divides the line segment connecting A(2, 8) to B(8, 5) in the ratio m:n is given by:
x = ([tex]m \times x2 + n \times x1[/tex]) / (m + n)
y = ([tex]m \times y2 + n \times y1[/tex]) / (m + n)
Given the ratio 1:3, the coordinates for point P can be calculated as follows:
x = ([tex]1 \times 8 + 3 \times 2[/tex]) / (1 + 3) = (8 + 6) / 4 = 14 / 4 = 3.5
y = ([tex]1 \times 5 + 3 \times 8[/tex]) / (1 + 3) = (5 + 24) / 4 = 29 / 4 = 7.25
Therefore, the point that divides the line segment AB in a 1:3 ratio is P(3.5, 7.25).
What does it mean for a number to be irrational?
And irrational number is a number than cannot be written as a simple fraction.
Two good examples of irrational numbers are PI and the square root of 2. These numbers have never-ending decimals, and their decimals never repeat.
Answer:
An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Step-by-step explanation:
Determine which polynomial is a difference of two squares. a. X2 + 14 b. X2 ? 14 c. X2 + 49 d. X2 ? 49
Answer:
d. X^2 - 49
Step-by-step explanation:
I will assume that the question marks are minus signs.
Let's remember what does "difference of two squares" means:
The difference of two squares is a number multiplied by itself subtracted from another number multiplied by itself (the number multiplied by itself is called squared number).
In our options, the first number is always a squared number because it's X^2 = X * X.
We just have to analyze the second number.
First, let's notice that a. and c. can't be correct because we have a sum instead of a subtract.
We have left 14 and 49 to analyze:
14 = 7*2 (it's not a squared number)
49 = 7*7 (it's a squared number)
The answer is X*X - 7*7 = X^2 - 49
11 points each!!
Explain how to find the y-intercept of a graph.
Answer:
You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. The x coordinate will always be 0
Step-by-step explanation:
by seeing at which a point cuts y axis
IF MDE = 50, FIND D.
[tex]d= \frac{180° - 50°}{2} = 65°[/tex]
Round to the nearest tenth (picture provided)
Answer:
d. 6.3
Step-by-step explanation:
Given [tex]b=3,c=9[/tex] and [tex]A=21\degree[/tex], we can use the cosine rule to find [tex]a[/tex].
The cosine rule is given by;
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
We substitute the values to obtain;
[tex]a^2=3^2+9^2-2(3)(9)\cos(21\degree)[/tex]
[tex]a^2=9+81-54\cos(21\degree)[/tex]
[tex]a^2=90-50.4133[/tex]
[tex]a^2=39.5867[/tex]
[tex]a=\sqrt{39.5867}[/tex]
[tex]a=6.2918[/tex]
To the nearest tenth, [tex]a=6.3[/tex]
Classify each function. (a) y = x − 3 x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3 (b) y = x + x2 x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function (c) y = 5x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function (d) y = x5 trigonometric function power function exponential function root function logarithmic function (e) y = 7t6 + t4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6 (f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function
Answer:
a) rational
b) rational
c)exponential
d) power function
e) polynomial function of degree 6
f) trig function
Step-by-step explanation:
Functions can be classified by the operations they contain. Remember the following functions:
Power function has as its main operation of an exponent on the variable.Root function has as its main operation a radical.Log function has as its main operation a log.Trig function has as its main operation sine, cosine, tangent, etc.Rational exponent has as its main function division by a variable.Exponential function has as its main operation a variable as an exponent.Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.Below is listed each function. The bolded choice is the correct type of function:
(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3
(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function
(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function
(d) y = x^5 trigonometric function power function exponential function root function logarithmic function
(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6
(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function
The functions (a) y = x − 3 / x + 3 is a rational function, (b) y = x + x2 / x − 2 is a rational function, (c) y = 5ˣ is an exponential function, (d) y = x⁵ is a power function, (e) y = 7t⁶ + t⁴ − π is a polynomial function, (f) y = cos(θ) + sin(θ) is a trigonometric function.
What is function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
(a) y = x − 3 / x + 3 is a rational function, as the terms are rational.
(b) y = x + x2 / x − 2 is a rational function, as the terms are rational.
(c) y = 5ˣ is an exponential function as the x is in the power.
(d) y = x⁵ is a power function, as 5 is the power.
(e) y = 7t⁶ + t⁴ − π is a polynomial function of degree 6 as the highest degree is 6.
(f) y = cos(θ) + sin(θ) is a trigonometric function, as the cos and sin are trigonometric functions.
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You are given the parametric equations x=2cos(θ),y=sin(2θ).x=2cos(θ),y=sin(2θ). (a) list all of the points (x,y)(x,y) where the tangent line is horizontal. in entering your answer, list the points starting with the smallest value of xx. if two or more points share the same value of xx, list those points starting with the smallest value of yy. if any blanks are unused, type an upper-case "n" in them.
The tangent line is horizontal whenever [tex]\dfrac{\mathrm dy}{\mathrm d\theta}=0[/tex].
[tex]\dfrac{\mathrm dy}{\mathrm d\theta}=2\cos2\theta=0\implies2\theta=\dfrac{(2n+1)\pi}2\implies\theta=\dfrac{(2n+1)\pi}4[/tex]
where [tex]n[/tex] is any integer.
I'm guessing you're only interested in one complete loop of the lemniscate. In that case, we're restricted to [tex]0\le\theta\le2\pi[/tex]. Then we get 4 points of interest for [tex]n=0,1,2,3[/tex]:
[tex]\theta=\dfrac\pi4,\dfrac{3\pi}4,\dfrac{5\pi}4,\dfrac{7\pi}4[/tex]