Answer: 11/21
Step-by-step explanation: Subtract: 67 - 26 = 6 · 67 · 6 - 2 · 76 · 7 = 3642 - 1442 = 36 - 1442 = 2242 = 2 · 112 · 21 = 1121
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 6) = 42. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 6 = 42. In the next intermediate step , cancel by a common factor of 2 gives 1121.
hope this helps
Will need brainliest answer
Answer:
8 units to the right and 5 units down
Answer:
8 units to the left, 5 units up.
Step-by-step explanation:
Chose a variable to use as guidance (I chose c).
Count how many units to the left/right until it meets the same line as the other c (8 units left).
Once you find your left/right number, follow the line up/down (5 units up). Count the units until you meet with the c.
what is 5+ -7x + 8y + 3y
Given the expression:
\(5+(-7x)+8y+3y\)We can only add the similar terms, in this case they are 8y and 3y. Also remember that if a plus sign is outside of a parenthesis, then the contents of the parenthesis remain with the same sign:
\(5+(-7x)+8y+3y=5-7x+11y\)therefore, the simplified expression is 5-7x+11y
the sum of 8 and 7 double
Answer: 30
Step-by-step explanation:
(8+7) x 2
= 15 x 2
= 30
What are the coordinates of the vertices of the final image? A. P’(12, -6), Q’(8, -7), R’(4, -4), and S‘(7, -1) B. P’(12, 8), Q’(8, 9), R’(4, 6), and S‘(7, 3) C. P’(-12, 6), Q’(-8, 7), R’(-4, 4), and S‘(-7, 1) D. P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)
Answer:
Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.
Now, let's find the new vertices of the dilated image:
Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).
Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).
Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).
Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).
Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).
Step-by-step explanation:
Hope this helps you!! Have a good day/night!!
Determine a series of transformations that would map Figure J onto Figure K. J
Figure.
Figure
Figure J is rotated 90° clockwise and then translated by 3 units toward the right.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The translation does not change the shape and size of the geometry. But changes the location.
Figure J is rotated 90° clockwise and then translated by 3 units toward the right.
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Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.)
At least 11
The probability that the sum of the pips selected that is at least 11 would be = 1/12.
How to determine the probability of the selected events?To determine the probability of the selected events, the formula for problem should be used which is given below;
Probability = possible outcome/sample space
Possible outcome = at least 11 = (5,6),(6,5),(6,6)
= 3
Sample space = 36
Probability = 3/36 = 1/12
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what do you call the solution of an equation derived from an original equation?
it is called root......A solution of an equation is often called a root of the equation, particularly but not only for polynomial equations. The set of all solutions of an equation is its solution set.
3.4 × 1.3 =
34
10
×
13
10
= tenths × tenths help please im gettin whopped
Answer:
4.42.
Step-by-step explanation:
3.4 multiplied by 1.3 equals 4.42
To multiply decimals, you can simply ignore the decimal points and multiply the numbers as if they were whole numbers. In this case, 34 multiplied by 13 equals 442. However, we need to account for the decimal places.
The first factor, 3.4, has one decimal place, so we need to move the decimal point in the product one place to the left, giving us 4.42. The second factor, 1.3, also has one decimal place, so we have a total of two decimal places in the product.
Therefore, 3.4 multiplied by 1.3 equals 4.42.
Find an equation of the osculating plane and an equation of the normal
plane of the curve x = sin 2t, y = t, z = cos 2t at the point (0, π, 1).
The equation of the normal plane is 4y = 4π, or equivalently, y = π.
What is osculating plane?The word osculate comes from the Latin osculatus, which is a past participle of the verb osculari, which means "to kiss." Thus, an osculating plane is one that "kisses" a submanifold.
To find the osculating plane and normal plane of the curve x = sin 2t, y = t, z = cos 2t at the point (0, π, 1), we need to follow these steps:
Find the first and second derivatives of the curve with respect to t.Evaluate the derivatives at t = π to get the velocity, acceleration, and curvature vectors at the point (0, π, 1).Use the velocity and acceleration vectors to find the normal vector of the osculating plane.Use the normal vector and the point (0, π, 1) to find the equation of the osculating plane.Use the curvature vector to find the normal vector of the normal plane.Use the normal vector and the point (0, π, 1) to find the equation of the normal plane.Step 1: Find the first and second derivatives of the curve with respect to t.
x' = 2cos2t
y' = 1
z' = -2sin2t
x'' = -4sin2t
y'' = 0
z'' = -4cos2t
Step 2: Evaluate the derivatives at t = π.
x'(π) = 2cos2π = 2
y'(π) = 1
z'(π) = -2sin2π = 0
x''(π) = -4sin2π = 0
y''(π) = 0
z''(π) = -4cos2π = -4
So the velocity vector at the point (0, π, 1) is v = ⟨2, 1, 0⟩, the acceleration vector is a = ⟨0, 0, -4⟩, and the curvature vector is κv = ⟨0, 4, 0⟩.
Step 3: Use the velocity and acceleration vectors to find the normal vector of the osculating plane.
The normal vector of the osculating plane is given by the cross product of the velocity and acceleration vectors:
n = v × a = ⟨2, 1, 0⟩ × ⟨0, 0, -4⟩ = ⟨4, 0, 0⟩
Step 4: Use the normal vector and the point (0, π, 1) to find the equation of the osculating plane.
The equation of the osculating plane is given by:
4(x - 0) + 0(y - π) + 0(z - 1) = 0
Simplifying, we get:
4x - 4 = 0
So the equation of the osculating plane is 4x = 4, or equivalently, x = 1.
Step 5: Use the curvature vector to find the normal vector of the normal plane.
The normal vector of the normal plane is given by the curvature vector:
n' = κv = ⟨0, 4, 0⟩
Step 6: Use the normal vector and the point (0, π, 1) to find the equation of the normal plane.
The equation of the normal plane is given by:
0(x - 0) + 4(y - π) + 0(z - 1) = 0
Simplifying, we get:
4y - 4π = 0
So, the equation of the normal plane is 4y = 4π, or equivalently, y = π.
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1. What percentage of seventh-grade students prefer hamburgers or hotdogs for lunch ?
2. What percentage of eighth graders prefer pizza or hot dogs for lunch?
How likely something is to occur is known as its probability.Consequently, 16.7% of people are likely to choose a hot dog.
Which lunch option is more popular among eighth graders: pizza or hot dogs?How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.The probability of anything occurring is known as probability.
To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. 16.7% of people will select a hot dog.Relevant frequency and likelihood
The likelihood or chance that an event will occur is known as probability.Expected outcome divided by total outcome is the formula for probability.
based on the figure
Total result equals 4 + 6 + 2
Total result: 12
Given that there are two hot dogs, the likelihood of selecting one is as follows:
Hot dog: Pr = 2/12
Hot dog: Pr = 0.1667
Consequently, 16.7% of people are likely to choose a hot dog.
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Could someone help me out? I don't get it
help me pleaseeeeeee with math
Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answer:
x=1 y=11
Step-by-step explanation:
Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²
please help me and can you explain how you got your answer
The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x
Simplifying an algebraic expressionFrom the question, we are to simplify the given algebraic expression.
The given expression is
√45x^5
First, we will write the given expression properly
The expression written properly is
√45x⁵
Simplifying
√45 × √x⁵
√9×5 × √x⁴×x
√9 × √5 × √x⁴ × √x
3 × √5 × x² × √x
3 × x² × √5 × √x
3x² × √5×x
3x² × √5x
3x²√5x
Hence, the simplified expression is 3x²√5x
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Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
What is the value of n 8n-5=139
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
Paul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from
selling b bottles of water is given by the formula P = 1.356 - 342.
Interpret the Slope in this situation.
Paul's profit is increasing at a rate of
Select an answer
Answer:
Hi how are you doing Jasmine
Ana,beto y Carla son confeccionará de polos,por cada 12 polos que confecciona Ana,Beto confecciona 7,mientras que por cada 28 polos que confecciona Beto,Carla confecciona 15 si el fin de semana Carla confecciona 198 polos más que Carla,cuántos polos confecciono Beto ese día?
Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.
¿Cuantos polos confecciono Beto ese día?Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.
Por cada 28 polos que confecciona Beto, Carla confecciona 15.
Y sabemos que Ana hizo 198 polos mas que Carla.
Definamos las variables:
C = polos que hizo Carla.
A = polos que hizo Ana
B = polos que hizo Beto.
Podemos escribir las ecuaciones:
A = C + 198
B = (7/19)*A
B = 28/(28 + 15)*C
Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.
Reemplazando la primer ecuacion en la segunda obtenemos el sistema:
B = (7/19)*(C + 198)
B = 28/(43)*C
De la segunda ecuacion podemos obtener:
C = B*(43/28)
Remplazando eso en la otra ecuacion obtenemos:
B = (7/19)*(B*(43/28)+ 198)
Ahora podemos encontrar el valor de B.
B = 0.57*B + 72.95
B - 0.57*B = 72.95
B*0.43 = 72.95
B = 72.95/0.43 = 169.6
Redondenado, B = 170, ese es el número de polos que Beto confecciono.
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Yu-Xi draws a triangle with two angles measuring 79 degrees and 23 degrees. What is the measure, in degrees, of the third angle?
Answer:
78 Degrees
Step-by-step explanation:
Answer:
78*
Step-by-step explanation:
PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".A certain form of cancer is known to be found in women over 60 with probability of 0.07. A blood test exists for the detection of the disease, but the test is not infallible. In fact, it is known that 10% of the time the test gives a false negative (i.e. the test incorrectly gives negative result when the woman actually has the cancer) and 5% of the time the test gives false positive (i.e. incorrectly gives a positive result when the woman actually does not have the cancer). What is the probability that a randomly selected woman over 60 will test positive?
Answer:
Throughout the segment below, the definition including its particular question is mentioned.
Step-by-step explanation:
The probability of developing cancer
= 0.07
The probability of someone not getting cancer
= 1 - 0.07
= 0.93
Provided that if women have cancer, the risk of someone not testing positive is:
= 0.10
Therefore, if a female requires cancer, the risk of testing positive
= 1 - 0.10
= 0.90
The Probability of positive test
= 0.055 (whenever a woman does not have cancer)
Therefore, whenever a woman does not have cancer, the risk of not testing positive will be:
= 1 - 0.05
= 0.955
Now,
By using the law of conditional probability, we get
⇒ \(P(\frac{B}{A} ) = \frac{P(A \ and \ B)}{P(A)}\)
⇒ \(P (A \ and \ B) = P(A)\times P(B)\)
⇒ P (having cancer as well as positive tests) = P(having cancer) × P(Effective results, because she has cancer)
⇒ \(0.07\times 0.90\)
⇒ \(0.063\)
Correspondingly,
P (not getting cancer and testing effective or positive)
= \(0.93\times 0.05\)
= \(0.04655\)
P (with a good test result)
= \(0.063 + 0.0465\)
= \(0.1095\)
Anne can make 6 headbands from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression?
The expression that shows the amount of cloth needed to make 1 headband is
. The solution to the expression is
meters.
Answer:
(3/5) × 6
1/10
Step-by-step explanation:
Devin has a huge aquarium for his fish. The volume of the aquarium is 90 cubic feet. If the height is 3 feet, which of these could NOT be the dimensions or the base?
You know that the aquarium has a volume of V=90ft³ and a height of h=3ft.
To determine which set of dimensions cannot correspond to the dimensions of the base, you have to calculate the volume of the aquarium using each set until you find the set of dimensions that don't give 90ft³ as a result.
To determine the volume of a rectangular prism you have to multiply its width, length, and height following the formula:
\(V=\text{wlh}\)Always use h=3ft
Set A
Possible dimensions: 2ft x 15ft x 3ft
\(\begin{gathered} V_A=2\cdot15\cdot3 \\ V_A=30\cdot3 \\ V_A=90ft^3 \end{gathered}\)Set B
Possible dimensions: 10ft x 3ft x 3ft
\(\begin{gathered} V_B=10\cdot3\cdot3 \\ V_B=30\cdot3 \\ V_B=90ft^3 \end{gathered}\)Set C
Possible dimensions: 8ft x 4ft x 3ft
\(\begin{gathered} V_C=8\cdot4\cdot3 \\ V_C=32\cdot3 \\ V_C=96ft^3 \end{gathered}\)Set D
Possible dimensions: 6ft x 5ft x 3ft
\(\begin{gathered} V_D=6\cdot5\cdot3 \\ V_D=30\cdot3 \\ V_D=90ft^3 \end{gathered}\)The only set of dimensions that do not lead to a volume of 90ft³ is set C
Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.
The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.
How to find the growth rate ?To find the percent change or growth rate of a quantity between two different values, you can use the formula:
Percent change = ( new value - old value ) / old value x 100%
The new value would be the population of the village after 10 years which is 450 people.
The old value is the initial population of the village which is 400
The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %
= 12. 5 %
The growth rate for the village is therefore 12. 5 % every ten years.
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triangle ABC is similar to triangle XYZ. fine side a
Explanation:
The jump from 13 to 39 is "times 3" when comparing the diagonal segments. So the jump from 5 to 'a' must also be "times 3" to keep the sides in the same proportion. Therefore, a = 3*5 = 15.
Or we could solve it like so
13/39 = 5/a
13a = 39*5 ... cross multiplying
13a = 195
a = 195/13 .... dividing both sides by 13
a = 15
Lance is selling T-shirts for $10 each and hats for $12.50 each. He wants to earn at least $400 per week to cover his expenses. Which graph best represents the number of T-shirts and hats Lance should sell to meet his goal?
Answer:
Step-by-step explanation:
Please see the attached
(a). The Tanakas paid a total of $523,906.40 for the townhome.
(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.
What is simple intresst?Simple interest is the type of interest that is calculated on the principal amount only.
It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.
(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.
Down payment = $41,000
Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40
Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40
(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.
Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000
Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40
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b) The completed construction of a regular hexagon is shown below. Explain why AACF is a 30°-
60°-90° triangle. (10 points)
ACF is a 30º-60º-90º triangle because of the following:
1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)
1 → short leg
2 → hypotenuse
\(\sqrt{3}\) → long leg
Side length of the hexagon is the short leg of the triangle. It is 1.
r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.
Using Pythagorean theorem.
\(a^2 + b^2 = c^2\)
\(1^2 + b^2 = 2^2\)
\(b^2 = 2^2 - 1^2\)
\(b^2 = 4 - 1\)
\(b^2 = 3\)
\(\sqrt{b^2} = \sqrt{3}\)
\(b = \sqrt{3}\)