Step-by-step explanation:
Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.
Sum of all interior angles of
N
-sided regular polygon equals to
(
N
−
2
)
⋅
180
o
.
Therefore, sum of interior angles of
12
-sided polygon is
(
12
−
2
)
⋅
180
o
=
1800
o
All 12 interior angles of dodecagon are equal, so each is
180-30
150
A supplementary exterior angle, therefore, equals to
180-150
=30
hopeit helps..
Answer
The measure of each exterior angle of a regular dodecagon is 30 degrees.
What is a regular dodecagon?A regular dodecagon is a 12-sided regular polygon with each side equal.
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that measure of each angle of n-sided regular polygon can be found using
= 360/n
Upon substituting n = 12 in above formula, we will get:
= 360 / 12
= 30
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
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The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.
a = F + m
a = F − m
a = Fm
a = F divided by m
Answer:
a = F/m
Step-by-step explanation:
F = ma divide m by both sides
F/m = a
Answer:
D
Step-by-step explanation:
Ann made $143 for 11 hours of work.
At the same rate, how many hours of work would she have to work to make $243
Answer:
22 hours
Step-by-step explanation:
So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.
why dont my parents love me
Help me please lol nnb
Answer:
128
Step-by-step explanation:
( x + 3 )( y + 2 ) = xy - 5
( x + 2 )( y - 3 ) = xy
Answer:
xy+2x+3y+6=xy-5 .............(1)
xy-3x+2y-6=xy.....,.,(2)
2x+3y=-11
-4x+2y=6
first equation multiply by 2
(2)*(2x+3y)=-11
4x+6y=-22
-4x+2y=6
8y=-16 y=(-2),,,,, x=(-2,5)
SOMEONE HELP PLS, giving brainlist to anyone who answers!!!
Answer: $532,000
Step-by-step explanation:
If the company is making $140,000 and they get 20% each year, we just multiply it by 20%, or 0.20, and get $28,000. So, we would multiply that by 14, the years the company operated, and then add it to the original $140,000.
28,000 x 14 = 392,000
392,000 + 140,000 = 532,000
So, over the course of 14 years, the company made a profit of $532,000.
The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points (4,0) and (7,0) (0, 4) and (7,0) • (4,0) and (0,7) (0, 4) and (0,7) none of the above
Step-by-step explanation:
The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).
A philosophy professor assigned letter grades on its test according to the following schemeScores on the test are normally distributed with a mean of 81.2 and a standard deviation of 8.1Find the minimum score required for an A grade round your answer to the nearest whole number if necessary
Solution:
Given;
\(\mu=81.2,\sigma=8.1,P(A)=0.12\)The z-score of the probability is 1.175.
Thus, using the z-score formula;
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \\ 1.175=\frac{x-81.2}{8.1} \\ \\ x\approx91 \end{gathered}\)The minimum score
what is the LCD of 10/15+4/12
Answer:
60
Step-by-step explanation:
12 goes into 60 5 times while 15 goes into 60 4 times
(2x−6)+4(x−3) i need this answer
Answer:
(2x-6)+4(x-3)
2x-6+4x-12
6x-18
6(x-3)
Create an equation to solve for x using the trapezoid midsegment formula:
Answer:
Equation for x: 3x - 6 = \(\frac{2x - 1 + 25}{2}\)
x = 9
CD = 17
GH = 21
Step-by-step explanation:
The midsegment formula for a trapezoid is
GH = \(\frac{CD + FE}{2}\)
3x - 6 = \(\frac{2x - 1 + 25}{2}\)
6x - 12 = 2x + 24
4x = 36
x = 9
CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17
GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21
write the equation of the line that is parallel to the graph of 3x-y=5 , and whose y intercept is (0,-7)
The formula 3x-y=5 is a linear function.
We must first examine the slope of the original function in order to determine the equation of parallel lines. We are also given the other function's intercept in this issue.
The function's slope-intercept form is y=3x-5.
In order to locate the parallel line that corresponds to the point (0,-7)
Parallel lines are those that share the same slope but have different y-intercepts, as you may have seen.
As a result, we must put in the point to solve for the y-intercept.
Thus,
y = 3x + b
-7 = 3(0) + b
-7 = b
b = -7
Thus the equation of a parallel line is y = 3x - 7
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A triangle has one side of length of 10 and another of length of 6. Write an inequality that describes the possible length of the third side.
Answer:
x>10>6<0
Step-by-step explanation:
the two length are 10&6 respectively.
on a normal note, the two length of a triangle is equal.
Therefore, x>10>6<0
What is six hundred five thousand, five hundred written in standard form
Answer:
the answer is in given bellow:
605500.
Consider this expression
What is the volume of a cylinder in cubic feet with a height of 8 feet and a base diameter of 18 feet
Answer:
The volume of a cylinder:
\(V \approx 2035.75\) \(ft^3\)
Step-by-step explanation:
-To find the volume of a cylinder, you first need the formula:
\(V = \pi (\frac{d}{2})^2 h\)
\(d =\) diameter
\(h =\) height
-Use the following diameter and height for the formula:
\(V = \pi (\frac{18}{2})^2 8\)
-Then, you solve:
\(V = \pi (\frac{18}{2})^2 8\)
\(V = \pi \times (\frac{18}{2})^2 \times 8\)
\(V = \pi \times (9)^2 \times 8\)
\(V = \pi \times 81 \times 8\)
\(V = \pi \times 648\)
\(V = 648\pi \approx 2035.752\)
-Since the hundredth place is 2, It cannot be rounded to the nearest hundredths place, so it would be:
\(V \approx 2035.75\) \(ft^3\)
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y.
What is the next step?
A. Replace y with f'(X).
B. Subtract 10 from both sides of the equation.
C. Switch x and y.
D. Solve the equation for x.
Answer: Switch x and y
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.
Hence, the correct option is C.
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Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
Answer: let
Total number of those who took part in the survey (T) = 1300
Those were satisfied with the car(t)=910
Percentage of those who are satisfied (S)= (t/T)*100
S=(910/1300)*100
S=70%
Therefore 70% were satisfied
Step-by-step explanation:
Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249
none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.
To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.
The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.
Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:
Minimum space required for water closets = 12 water closets * 30 inches = 360 inches
Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches
Adding these two values together, we get a total minimum space requirement of 672 inches.
Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.
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g suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. you find an individual that reads 46.2 word per minute. you do some research and determine that the reading rates for their grade level are normally distributed with a mean of 85 words per minute and a standard deviation of 22 words per minute. a. at what percentile is the child's reading level (round final answer to one decimal place).
This shows that they read less frequently than 95.7% of their classmates in the same grade level.
what is percentile ?In statistics, a percentile is a metric that is used to express where one observation stands in relation to a larger group of data. It displays the proportion of data points that fall under a given value. For instance, if a student achieves a score in the 90th percentile on a standardised test, it signifies that they outperformed 90% of their peers who also took the test. As an alternative, if a child is taller than 25% of children their age and shorter than 75%, their height is in the 25th percentile for their age.
given
We must first compute the z-score using the following formula to determine the percentile of the child's reading proficiency.
z = (x - μ) / σ
where x represents the child's reading rate, represents the grade-level mean reading rate, and represents the standard deviation.
Inputting the values provided yields:
z = (46.2 - 85) / 22
z = -1.727
We can calculate or use a conventional normal distribution table to obtain the value of 0.0428 for the region to the left of z = -1.727. The child's reading rate is at the 4.28th percentile according to this statistic.
As a result, the child's reading proficiency is 4.3 percentile (rounded to one decimal place).
This shows that they read less frequently than 95.7% of their classmates in the same grade level.
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How do I write two time the quotient of a number and two
Answer:
2(quotient of x) + 2..............
Pls help please plot the Ben mark
Answer:
the answer is 22 at 3 and at 5 then 3 fourth
Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 34 miles per hour. The second ferry, the Bird, travels at 29 miles per hour. In how many hours will the two ferries be 5miles apart
Answer:
They will be 5 miles apart in 1 hour
Step-by-step explanation:
Here, we want to calculate the time it will take for the two ferries to be 5 miles apart
Mathematically; distance = speed * time
Let the number of hours be x
In x hours, the cat will have traveled 34 * x = 34x miles
In x hours, the Bird will have traveled 29 * x = 29x miles
So;
34x - 29x = 5
5x = 5
x = 5/5
x = 1 hour
In the right triangle, the altitude is 5 units and the longest segment of the hypotenuse of 7 units. Find the length of the hypotenuse.
Answer:
hypontenuse = 8.6 units
Step-by-step explanation:
Let the hypontenuse be x .
According to Pythagoras Theorem ,
=> base² + perpendicular ²= hypontenuse ²
=> h² = 5² + 7²
=> h² = 25 + 49
=> h² = 74
=> h = 8.6
5th time asking this question i dont know what you people are doing but i have yet to get an answer from anyone so please just answer this (no blank answers) ive wasted over 400 points trying to get an answer
Answer:
3.since two base side are equal
4.sum of interior angle of the triangle is 180
9.base angle of isosceles triangle
16.the inscribed angle from the diameter is 90°
21.being CAE=90°
Answer:
3.since two base side are equal
4.sum of interior angle of the triangle is 180
9.base angle of isosceles triangle
16.the inscribed angle from the diameter is 90°
21.being CAE=90°
Step-by-step explanation:
What is the exact volume of the sphere? responses 36.868π m³ 36.868 pi, m³ 94.46π m³ 94.46 pi, m³ 147.456π m³ 147.456 pi, m³ 463.01π m³
The volume of the sphere is given by the situation V = 147.456π m³
A sphere is balanced, and round in shape. It is a three-layered strong, that has generally its surface focuses at equivalent good ways from the middle. It has surface area and volume in light of its radius. It has no faces, corners, or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere
= ( 4/3 ) πr³
where r = radius of the sphere
Given information,
Let the volume of the sphere be addressed as V
Presently, the condition will be
Let the radius of the sphere be r
The worth of r = ( 4 8/10 ) m
In this way, the radius of the sphere = 4.8 m
Presently , Volume of a Sphere = ( 4/3 ) πr³
Subbing the qualities in the situation, we get
Volume of Sphere V = ( 4/3 ) π ( 4.8 )³
On improving on the situation, we get
Volume of Sphere V = ( 4/3 ) π ( 110.592 )
On additional improvement, we get
Volume of Sphere V = 147.456π m³
Subsequently, the volume of a sphere is 147.456π m
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the complete question is:
What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middle point of sphere to edge. Line is labeled four and eight-tenths meters.
Answer:
147.456π m³
Step-by-step explanation:
Hi I'm doing this test right now, and this is the answer I got. The other answer explains it way better but I hope i still helped :)
A consumer group tested 11 brands of vanilla yogurt and found the numbers below for calories per serving.
a) Check the assumptions and conditions.
b) A diet guide claims that you will get an average of 120 calories from a serving of vanilla yogurt. Use an appropriate hypothesis test to comment on their claim.
130 165 155 120 120 110 170 155 115 125 90
a) The independence assumption _____ been violated, and the Nearly Normal Condition ______ justified. Therefore, using the Student-t model for inference been violated, _____ reliable.
b) Write appropriate hypotheses for the test.
H0: ___
НА: ___
The test statistic is t = ____
(Round to two decimal places as needed.)
The P-value is ___
(Round to three decimal places as needed.)
In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.
a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.
Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.
b) The appropriate hypotheses for testing the claim made by the diet guide would be:
H0: The average calories per serving of vanilla yogurt is 120.
HA: The average calories per serving of vanilla yogurt is not equal to 120.
To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.
Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.
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(-4, 18) is a solution to:
y = 5x – 2
Simplify 9 - (-4) I don’t know I need help
Answer:
Reduce 9/4 to lowest terms
94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
How can you use proportional reasoning to solve problems?
Proportional thinking analyzes proportions to address questions. We can utilize relative thinking to tackle a few inquiries straightforwardly, for example, which size of clothing cleanser is the least expensive per load, for sure the components of the model vehicle ought to be.