For the regular octagon, please find the order of rotation and the angle
of rotation. Show all work for full credit.
Answers
A regular octagon is a closed figure with equal-length sides and equal-sized interior angles.
Measure of interior angle = 135°
Measure of exterior angle = 45°
What is meant by regular octagon?A regular octagon is a closed figure with equal-length sides and equal-sized interior angles. It possesses rotational symmetry of order 8 and eight lines of reflective symmetry. The Schläfli sign "8" represents a regular octagon. A regular octagon's internal angle at each vertex is 135°. ( radians).
We know that for a regular polygon with n sides the measure of each of the exterior angle = 360/n
Also, the measure of each of the interior angles of the regular polygon with n sides = (n - 2) × 180 / n
We have n = 8 (octagon)
Therefore, the measure of each of the exterior angles is: 360/8 = 45
Measure of each of the interior angles is given by:
(8-2) × 180/8 = 1080/8 = 135
Measure of interior angle = 135°
Measure of exterior angle = 45°
Therefore, the correct answer is option A. 45°, 135°.
The complete question is:
What is the angle of rotation of this regular octagon? What is the measure of an interior angle? A. 45°, 135° B. 22.5°, 135° C. 45°, 108° D. 22.5°, 108°
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Related Questions
It takes 2 minutes to print out 3 posters at Carla's school.How long would it take to print out 14 posters
Answers
Divide 3 by 2 to find how many posters Carla’s school can print in a minute. This would be 1.5 posters per minute. To make 14 posters, divide by 1.5. This comes out as 9.333333333333 or just 9.33 minutes.
Calculate the Standard Deviation of the following set of data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
a. 7.66
b. 6.78
c. 23
d. 46
Answers
Answer:46656
4634234
Step-by-step explanation:5
y5
Answer:
6.78
I hope this helps.
Step-by-step explanation:
martina was interested in how students perceive the health service provided by her university. to collect data on this issue, she interviewed past and present students from her classes. martina has used a random sampling procedure that would be classified as a convenience sample.
Answers
martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = upper limit - lower limit /2
Substitute the values into above formula as follows.
= 33-30/2
=1.5
Thus ,we can conclude that Martina's margin of error is 1.5.
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I can buy 4 basketballs for $44. At that same rate, how much would 8 basketballs cost?
Answers
Answer:
$88.
Step-by-step explanation:
$44 dollar for 4 balls.
That means for one ball it is $11.
44 ÷ 4 = 11.
Therefore:
8 x 11 = 88.
The answer is $88.
Hope this helps!
if 4 basketballs cost $44 then you could do 4 times 11 equals 44
therefore do 8 times 11
$88
Complete the equation to show at 4.2 ÷ 0.35 is equivalent to 420 ÷ 35. Check Picture Above (Or Below, wherever it is!)
Answers
Answer:
[tex]4.2 / 0.35 =\frac{4.2}{0.35} *\frac{100}{100}= \frac{420}{35} = 420/35[/tex]
Step-by-step explanation:
By multiplying both the numerator and the denominator of the fraction 4.2/0.35, the resulting equivalent fraction is 420/35.
find the number that makes the ratio equivalent to 3:5._:60
Answers
Answer:
36
Explanation:
Given the ratio:
[tex]3\colon5[/tex]Let the number = x
Then:
[tex]\frac{3}{5}=\frac{x}{60}[/tex]Next, solve for x:
[tex]\begin{gathered} 5x=3\times60 \\ x=\frac{3\times60}{5} \\ x=36 \end{gathered}[/tex]Thus, the number that makes the ratio equivalent to 3:5 is 36.
PLEASE HELP!!!
Assignment name: Trigonometry, Evaluation of Functions
Hi, can someone help find the GRAPHS that belong to these problems, please! I only need a picture of a graph for each problem that I've attached below :)
Answers
1. The θ lies in the 1st and 2nd quadrants of the graph.
2. The θ lies in the 2nd and 3rd quadrants of the graph.
3. The θ lies in the 1st and 3rd quadrants of the graph.
4. The θ lies in the 2nd and 3rd quadrants of the graph.
5. The θ lies in the 1st and 2nd quadrants of the graph.
In the first question, Sinθ = 2/3 and 0°≤θ≤360°.Sinθ is positive in the 1st and 2nd quadrants.Thus, θ lies in the 1st and 2nd quadrants of the graph.In the second question, Cosθ = -1/2 and 0°≤θ≤360°.Cosθ is negative in the 2nd and 3rd quadrants.Thus, θ lies in the 2nd and 3rd quadrants of the graph.In the third question, Cotθ = 3/4 and 0°≤θ≤360°.Cotθ is positive in the 1st and 3rd quadrants.Thus, θ lies in the 1st and 3rd quadrants of the graph.In the fourth question, Secθ = -13/5 and 0°≤θ≤360°.Secθ is negative in the 2nd and 3rd quadrants.Thus, θ lies in the 2nd and 3rd quadrants of the graph.In the fifth question, Cscθ = 3/2 and 0°≤θ≤360°.Cscθ is positive in the 1st and 2nd quadrants.Thus, θ lies in the 1st and 2nd quadrants of the graph.To learn more about quadrants, visit :
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What are the answers for both of them
Answers
❌ Table 1 has proportions of 1/8, 1/9, 1/10 and 1/11.
❌ Table 2 has proportions of 1/9, 1/9, 1/9 and 1/10.
Proportions are found by
y is #️⃣ times x
If they are the same #️⃣ the ratios will be the same and they would be proportional
When a number is outside parentheses what operation does that indicate?
Answers
Answer:
When a number is outside parentheses, the operation it indicates is Multiplication
Explanation:
When a number is outside parentheses such as;
[tex]4(5+2)[/tex]The operation it indicates is Multiplication, for the example above, it means that 4 will multiply each of the numbers inside the parentheses.
[tex]4(5+2)=4\times(5+2)=4\times5+4\times2[/tex]Therefore, When a number is outside parentheses, the operation it indicates is Multiplication
What is the value of this expression
Answers
The required simplified value of the given expression is given as 257 / 16. None of the options is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression is,
= 2(x + 4) - (y - 8)
According to the question put,
x = 1 / 8 and y = 3 / 16
= 2 (1/8 + 4) - (3/16 - 8)
= 2 (33/8) - (-125 / 16)
= 33 / 4 + 125 / 16
= 132 + 125 / 16
= 257 / 16
Thus, the required simplified value of the given expression is given as 257 / 16.
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What is the image of (0,6) after a reflection over the y-axis?
Answers
Answer:
(0, 6)
Step-by-step explanation:
The point (0, 6) is on the y-axis, so after a reflection over the y-axis, it is still (0, 6).
The temperature in a town is 38.2 F during the day and -17.2 at night. Find the difference in the temperatures.
Answers
Answer:
55.4 °F
Step-by-step explanation:
To find the difference, subtract the 2 values.
38.2-(-17.2)
2 minus signs equal a plus sign, so:
38.2+17.2 = 55.4
Solve
2x² + 4x + 10 = 0
Simplify answers
Answers
Answer: No Solution
Step-by-step explanation: Simply use the formula. Which then you get no solution
Determine which integer will make the inequality 20 > 4x + 16 true.
S:{16}
S:{20}
S:{−1}
S:{1}
Answers
Answer:
-1
Step-by-step explanation:
replace x with -1
20>4(-1)+16
20>-4+16
20>12
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
Price of Cap, p
(in dollars) Number of Units
in Demand, d
23 432
27 356
30 299
35 204
Which equation represents the relationship between the price of the cap and the number of units in demand?
A.
d = 850 - 19p
B.
d = 285 - 869p
C.
d = 869 - 19p
D.
d = 19 - 869p
Answers
The relationship between the price of the cap and the number of units in demand is d = 869 - 19p
What is Substitution?Substitution: A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
Price of Cap, p(in dollars) Number of Units in Demand, d
23 432
27 356
30 299
35 204
the relationship between the price of the cap and the number of units in demand
lets substitute the values in the given options ( lets use 1st result p=23 and d=432)
A.
d = 850 - 19p
432=850-19(23)
432=850-437
432≠413
B.
d = 285 - 869p
432=285-869(23)
432=285-19,987
432≠19,702
C.
d = 869 - 19p
432=869-19(23)
432=869-437
432=432
option C is correct
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A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.
The table below shows survey results for the demand related to the price of a baseball cap in a small town. As the price of the cap increases, the number of people who wish to purchase it decreases.
The relationship between the price of the cap and the number of units in demand
lets substitute the values in the given options ( lets use 1st result p=23 and d=432)
A. d = 850 - 19p
432=850-19(23)
432=850-437
432≠413
B. d = 285 - 869p
432=285-869(23)
432=285-19,987
432≠19,702
C. d = 869 - 19p
432=869-19(23)
432=869-437
432=432
What value of x satisfies the equation?
3(x−5)=5x−(3−x)
Responses
-4
-12
−2/3
8/3
Answers
The value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is
x = - 12.
What is Equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given is the following equation -
3(x − 5) = 5x − (3 − x)
The given equation is -
3x - 15 = 5x - 3 + x
Simplifying for (x), we get -
3x - x - 5x = - 3 + 15
- x = 12
x = -12
Therefore, the value of (x) that satisfy the equation → 3(x − 5) = 5x − (3 − x) is x = - 12.
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Which tables have a lower unit rate than the rate represented in the equation? y=3/5xThe pictures are the answer choices.
Answers
The unit rate represented in the equation y = 3/5x is the value multiplying x, that is, the unit rate is 3/5.
In order to find the unit rate of each table, we just need to divide the y-values by the x-values.
So, the unit rate of the first table is:
[tex]\frac{y}{x}=\frac{4}{3}[/tex]The value 4/3 is greater than the value 3/5.
In the second table we have that:
[tex]\frac{y}{x}=\frac{4}{5}[/tex]The value 4/5 is greater than the value 3/5;
In the third table, we have that:
[tex]\frac{y}{x}=\frac{18}{31}[/tex]In order to compare this fraction with 3/5, we need to make them be in the same denominator, so we have to calculate the least common multiple of the denominators.
Since 5 and 31 are prime numbers, the LCM is the product of both numbers.
So we have that:
[tex]\begin{gathered} \frac{18}{31}=\frac{18\cdot5}{31\cdot5}=\frac{90}{155} \\ \\ \frac{3}{5}=\frac{3\cdot31}{5\cdot31}=\frac{93}{155} \end{gathered}[/tex]The number 90/155 is lesser than 93/155, therefore 18/31 is lesser than 3/5, so the answer is the third table.
Work out the total amount of money tom earned on monday
Answers
The money earned by Tom in accordance with his rate is $
In mathematics, comparing two related quantities stated in different units is known as a rate.
If the denominator of the ratio is stated as a single unit of one of these quantities and it is assumed that this number may be changed systematically, the numerator of the ratio expresses the comparable rate of change in the other (dependent) variable (i.e., is an independent variable).Speed, heart rate, and flux are a few examples of rates that are frequently expressed as "per unit of time." Electric field ratios, exchange rates, and literacy rates are a few instances of ratios with a non-time denominator (in volts per meter).The rate at which he earns is $15 per hour.
He earns over time at 1 1/3 times his wage
Overtime rate = 4 / 3 × 15 = $20
He worked for 11 hours.
Total money earned = 7 hours at rate $15 per hour and 4 hours at rate $20 per hour.
Money earned = 7 × 15 + 20 × 4 = $185
Hence the money earned at that rate is $185.
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James is taking out a personal loan from his local bank. if the total loan amount is $2500 at a simple interest rate of 14.99% and in the 1st 4 months he makes only interest payments, how much will he pay in those months total?
Answers
James has to pay an annual interest of 14.99% on $2500 loan.
In decimal:
14.99% = 14.99/100 = 0.1499
The interest of 1st year would be:
0.1499 * 2500 = 374.75 dollars
Monthly interest would be:
374.75/12 = $31.23
If he pays this amount each month for first 4 months, he would pay a total of:
$31.23 * 4 =
$124.92-4.25 ⋅ (3/10 + 1/5)
Answers
Answer: -0.85
Step-by-step explanation:
3/10 + 1/5 = 1/2
1/2 x -4.25 = -0.85
Distance between two points khan academy
Answers
This can be solved using the Pythagorean theorem. If the diagonal line between the points is the hypotenuse, we must first determine the side lengths using subtraction. Then insert these values into the Pythagorean theorem and solve for the hypotenuse.
See details:
the world record for most selfies taken simultaneously is 4296. this is 51 fewer than three times the world record for the most selfies taken by one person in one hour. what is the world record for the most selfies taken by one person in one hour?
Answers
The world record for most selfies taken by a person in one hour is calculated to be 1449.
The world record for the most selfies taken by one person in one hour can be determined by using an algebraic expression.
As 4296 is 51 fewer than three times the World record for the most selfies taken by one person in one hour, we can consider x to be the world record by which we get an algebraic expression as follows;
3x - 51 = 4296
Solving for x;
3x = 4296 + 51
3x = 4347
x = 4347 / 3
x = 1449
Therefore, 1449 is calculated to be the world record for most selfies by one person in one hour.
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y=3(x-4)^2 +7 in standard form
Answers
1/6+5252+65+89+12-15-874-85x54-0-059=?
Answers
Answer:
719
– ___
6
Step-by-step explanation:
= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059
= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059
= 1/6 + 4529 - 4590 - 059
= 1/6 + (-120)
= 719
— ___
6
36-(12/2)2=what i don't know the answer
Answers
The simplification of the given expression 36-(12/2)2 will be 24.
What is a simplification of an expression?Simplification involves proceeding with the pending operations in the expression. for ex; 6 + 2 is an expression whose simplified form can be obtained by doing the pending addition, that results in 8 as its simplified form. Simplification, involves making the expression simple and easy to use later.
We have been given an expression as;
36-(12/2)2
To simplify the above;
36-(12/2)2
36 - (6)2
Now multiply 6 by 2,
36 - 12
= 24
Therefore, the simplification of the given expression 36-(12/2)2 will be 24.
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Answer:
The answer is 24.
Step-by-step explanation:
(12/2)=6
36-(6)2
=36-12
=24
Find the slope of the line passing through the two points on the line (1,2) and (5,1)
Answers
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (5, 1 )
m = [tex]\frac{1-2}{5-1}[/tex] = [tex]\frac{-1}{4}[/tex] = - [tex]\frac{1}{4}[/tex]
27≤−2x+7or13 > −13>−2x+7
Answers
The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.
What is the solution?
An allocation of values toward the variables involved that establishes the equality there in the equation is referred to as a solution. To put it another way, a solution is just a value or collection of values (for every unknown) that, when used to replace the unknowns, cause the equation to equal itself.Given equations: 27≤−2x+7, −13>−2x+7
Solving each equation,
27≤−2x+7
−2x≥27−7
−2x≥20
x≤ (20/−2)
x≤−10
−13>−2x+7
−2x≤−13−7
−2x≤−20
x≥ (-20/-2)
x≥10
The solution for 27≤−2x+7 is x ≤−10 and −13>−2x+7 is x≥10.
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1 divide by root 9 + root 8
Answers
Let's expand the rational number with the conjugate of the expression in the denominator.
[tex]C=\sqrt{9} +\sqrt{8}[/tex][tex]\frac{1}{\sqrt{9}-\sqrt{8} }. \frac{\sqrt{9}+\sqrt{8} }{\sqrt{9}+\sqrt{8} }[/tex][tex]=3+2\sqrt{2}[/tex]Answer:
Step-by-step explanation:
root of 9 is 3
root of 8 is 2.8
the equation =-2.5
I need some help with my math please.
Answers
Answer: -10 + 34u
Step-by-step explanation:
2 x (10u + 3) + 2 x (7u -8)
20u + 6 + 14u - 16
34u - 10
Answer: -10 + 34u
Step-by-step explanation:
1) Set up the equation
A = 2B + 2H
2) Substitute the variables
A = 2(10u+3) + 2(7u-8)
3) Solve the equation
A = 20u + 6 + 14u - 16
4) Simplfy
A = 34u - 10
A = -10 + 34u
What is the product of (-3)(18) • (-5)? O 270 O 49 O-59 O-87
Answers
Answer: 270
Step-by-step explanation: First, you want to multiply the -3 and the 18. That makes -54. Then, you multiply that answer (-54) by -5, which is 270.
Hope this helps!
Follow the order of PEMDAS of operations:
P - ParenthesisE - ExponentsM - MultiplicationD - DivisionsA - AdditionsS - SubtractionsMultiply and divide (from left to right).
Apply the rule: (-a)*(b) = -a*b
(-3)(18) = -13 * 18 = -54
-54(-5) = 54 * 5 = 270
The answer is 270✅ .