So the polygon has 22 sides.
A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges. The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result. A triangle with three sides is an example of a polygon.
The sum of the interior angles of a polygon can be calculated using the formula:
(n-2) * 180 = sum of the interior angles
Where n is the number of sides of the polygon.
We know that the sum of the interior angles is 20*180, so we can substitute this into the formula:
(n-2) * 180 = 20 * 180
Solving for n, we get:
n = (20 * 180) / 180 + 2
n = 20 + 2
n = 22
So the polygon has 22 sides.
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Graph the function y = - 5/3x - 1
Answer:
y intercept at (0,-1) and line runs through the points (-6,3) and (-3,4)
Step-by-step explanation:
Please help :( how you do the bottom part
Answer:
1. x = 14
2. (14, 115.18)
3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Step-by-step explanation:
The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.
To do the first question, you simply have to make the equation from the story problem.
These equations are usually in the slope intercept form, y = mx + b
C(x) is the same as y, so begin by replacing it for simplicity.
If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.
y = 7.87x + 5
Now we can substitute variables to solve the equation.
To find x when C(x) = 115.18, we substitute y for 115.18.
115.18 = 7.87x + 5
Subtract 5 from both sides:
110.18 = 7.87x
Divide both sides by 7.87:
14 = x
So we have our first answer. When C(x) = 115.18, x = 14.
The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.
This means, as an ordered pair, the answer is (14,115.18).
The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Hope this helped!
Your sewing cabinet has compartment that hold 8 spools of thread each you have 50 spools of thread how many compartment can you fill
Find the product: 23 x 17 = ? OA. 161 OB: 184 OC. 371 OD:391
Answer:
391
explanation:somehow it is 391. just somehow.
Alma bought 6 gallons of gasoline for $19.14. What was the unit price of this gasoline?
Answer:
3.19
Step-by-step explanation:
Find the area of the fairway between two streams on a golf course.
Area =
yd2
Question 2
Explain how the fairway could be separated into figures whose areas you can find using formulas.
You could separate the figure into a trapezoid and a _____
A. Triangle
B. Square
Please do a step by step explanation
Question 1
The area of the fairway between two streams on a golf course cannot be determined without additional details such as the dimensions or measurements of the fairway and the streams.
Question 2
A. Triangle
THE FAIRWAYTo find the area of the fairway, you could separate it into figures whose areas you can find using formulas.
Step 1: Draw a diagram of the fairway, including the two streams and any other relevant features such as bunkers or trees.
Step 2: Divide the fairway into two sections, one on either side of the streams.
Step 3: Measure the width and length of each section of the fairway.
Step 4: Use the formula for the area of a rectangle to find the area of each section. (Area = width x length)
Step 5: Add the areas of the two sections together to find the total area of the fairway between the two streams.
THE TRAPEZOIDThe base of the trapezoid would be the width of the fairway and the width of the stream, and the height would be the distance between the fairway and the stream. The area of a trapezoid is (a+b)h÷2, where a and b are the lengths of the bases and h is the height. The triangle would be formed by the side of the trapezoid that is the distance between the fairway and the stream, and the width of the stream. The area of a triangle is base×height÷2.
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I think of a number. I subtract 14 from the number and then treble the difference. The result is two third of the number. Find the original number
Answer:
18 is the original number.
Step-by-step explanation:
Let the number be x.
A/Q:-
3 (x-14)= 2/3x
Multiplying by 3 we get
9(x-14)=2x
9x-126=2x
9x-2x=126
7x=126
x =126/7
x=18
Answer:
Let the no. be x
3 (x-14) =
A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?
Answer:
For this example they are all the same thing.
530:1 or 530 mph
Step-by-step explanation:
A unit rate is when the denominator is 1. In this case, the denominator is already 1 hour.
6. Shenandoah's test scores were 70, 80, 80, and 90. What was his weighted average if the
tests were weighted 1, 3, 5, and 4, in that order?
The weighted average of Shenandoah's test scores is 82.3.
What is the weighted average?
To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.
To calculate a weighted average, we need to multiply each score by its corresponding weight, and then add those products up and divide by the sum of all the weights.
To calculate a non-weighted average such as a mean average, all we need to do is, sum up, the scores and divide this sum by the number of scores. For a weighted average, each score must have a frequency attached to it. This frequency is called specific weight.
So in this case,
Weighted average = (701 + 803 + 805 + 904) / (1+3+5+4) = (70 + 240 + 400 + 360) / 13 = 1070/13 = 82.3
Hence, The weighted average of Shenandoah's test scores is 82.3
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PLEASE HELP ME I AM BEING TIMED, I WILL GIVE BRAINLIEST TO WHOEVER GETS THIS RIGHT.
Answer:
24 mg find the whole area then subtract 16 boom!
Answer:
Cement = 20
Step-by-step explanation:
2x6=12
2x4=8
12+8=20
Helpppppppppppp plz
I will give brainlist
Answer:
general sherman is the biggist
Step-by-step explanation:
grant and sherman - 5900
washington and sherman -4650
I GIVE THANKS AND MARK BRAINLIEST
WHAT ARE THE CORRECT ANSWER(S)?
On solving the provided question, we can say that - the slope of the following will be slope, m = [tex]4-6/4-2 = -2/2 = -1[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
(x1,x2) = (6,4)
(y1,y2) = (2,4)
slope, m = 4-6/4-2 = -2/2 = -1
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On solving the provided question, we can say that - the slope of the following will be slope, m = -1
what is slope?
A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
(x1,x2) = (6,4)
(y1,y2) = (2,4)
slope, m = 4-6/4-2 = -2/2 = -1
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The data set represents the total number of tickets each person purchased for a play.
0,0,1,1,1,2,2,2,4,
What is the median of the daya?
Answer:
The median of the data is 1
Homer Simpson left an estate of $2.4 million. He left 10% to Springfield University, 15% to the First Church of Springfield, $600,000 to his wife Marge, and the remainder to be divided among his three children. How much did each child receive?
Hello there!
Answer:
$400'000
Step-by-step explanation:
Estate -- $2.4 million or $2'400'000
Springfield University will receive: 10% * $2'400'000 = 0.1 * $2'400'000 = $240'000
First Church of Springfield will receive: 15% * $2'400'000 = 0.15 * $2'400'000 = $360'000
Wife will receive $600'000
Total: $240'000 + $360'000 + $600'000 = $1'200'000
Children will receive at total: $2'400'000 - $1'200'000 = $1'200'000
So each child will receive: $1'200'000 / 3 = $400'000
Answer: Each child of Homer Simpson gets $400000.
Step-by-step explanation:
Homer Simpson left 10% of his estate, or (10/100) x $2.4 million
= $ (10/100)x2400000= $240000
$240,000 to Springfield University.
He left 15% of his estate, or (15/100) x $2.4 million = $(15/100)2400000
= $360000
So 360,000 to the First Church of Springfield.
So in total, he left $240,000 + $360,000 + $600,000 = $(240000+360000+600000)
=$1200000
$1,200,000 to organizations and his wife.
That means the remainder of the estate, $2.4 million - $1,200,000
= $2400000-1200000
= $1200000
1,200,000, was divided among his three children. So each child received $1,200,000 / 3 = $1200000/3
=$400000
Answer: $400000.
What is the sum of 1.3 and –1.8?
Answer in explanation:
although there's an addition sign, you subtract the two because a
(+) + (-) = (-) subtract
[This is a general rule, writing down the "rules" for reference is a good way to help if your having trouble]
subtract to find your answer (you keep the sign of 1.8 because it's the larger number.)
1.3 + (-1.8) =
-0.5
-0.5 is your answer
Hope this is clear!
A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?
Question 4 options:
1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
Answer:
2.
Step-by-step explanation:
There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.
what is the mean absolute deviation best described as
Which angle is supplementary to DBE?
A. DBC
B. DBA
C. EBH
D. BGH
Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey finish?
Answer:
14:48 on wednesday
Step-by-step explanation:
divide 712 by 24 to get the total number of days. you should get 29.66666667. remember that 1/3 of a day is 8 hours, so you would have 16 hours left. you can subtract 2 hours from the 16 to add to the 22:48 to get it on an 12-hour period, which in this case would be midnight, and when you do this you need to add another day to the 29 you have. then you put the remaining 14 to the 00:48, giving you 14:48. to get the day she finished on, you should honestly do it on your fingers, counting out the days until you hit the 30th day, which should give you wednesday.
Answers for A B and C?
Answer:
a) 45/2,25=20 km per hour
b) 45 minutes
c) 45/3=15 km per hour
how do i ansew this q
The slope is $125 and the slope tells the annual due payment of $125.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take two points from the graph as (2, 400) and (4, 650)
Then, the slope of line is
slope, m = ( 650- 400) / ( 4- 2)
slope, m = 250 /2
slope , m = 125
Hence, the slope is 125.
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30PTS 30PTS don’t explain just answer (it’s not 90)
Answer:
20
Step-by-step explanation:
110 -70 = 40 40/2= 20
Answer:
[tex] \sf \: x = {20}^{o} [/tex]
Step-by-step explanation:
Let's take the value of y as,
→ y = 90°
(Because, it is a right angle)
Forming the equation,
→ x + y + 70° = 180°
Now the value of x will be,
→ x + y + 70° = 180°
→ x + 90° + 70° = 180°
→ x + 160° = 180°
→ x = 180° - 160°
→ [ x = 20° ]
Hence, the value of x is 20°.
What is associative property example?
The example of an associative property is a+(b+c) = (a+b) + c for additional operation and a × (b × c) = (a × b) × c for the multiplication operation. The associative property is used to solve an equation or expression of real numbers.
What are the properties of real numbers?
In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.
The four primary characteristics of real numbers are as follows:
Commutative property
Associative property
Distributive property
Identity property.
Associative property: The associative property is applicable on two arithmetic operations. They are multiplication and addition.
For multiplication operations: a × (b × c) = (a × b) × c
For additional operation: a+(b+c) = (a+b) +
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Expectation 2 Suppose that X is log-normal. For example log(x) follows a normal distribution with mean m and standard deviation k. What is the expectation of X? Pick ONE option exp(m - k2/2) exp(m + k²/2) exp(m) m
The expectation of X, when X is log-normal and log(X) follows a normal distribution with mean m and standard deviation k, is exp(m + k²/2).
Therefore the answer is exp(m + k²/2).
The log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. In other words, if X is log-normal, then log(X) follows a normal distribution with mean m and standard deviation k.
The expectation of a random variable is the expected value of the variable, which is a measure of the central tendency of the distribution. For a continuous probability distribution, the expectation is also known as the population mean. The expected value of X can be calculated using the probability density function (PDF) of X.
The expectation of X is calculated as the integral of X × f(X) over the range of X. Where f(X) is the probability density function of X and X is the random variable.
For log-normal distribution, the expectation of X is calculated as follows:
E(X) = exp(m + k²/2)
where m is the mean of log(X) and k is the standard deviation of log(X).
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Three systems of linear equations are shown what are the answers for each one?
Answer:
A)one solution (3, -3)
B)no solution
C)infinite solution
Step-by-step explanation:
A) The two equations intersect at a point. This point satisfies both equations.
B) The two equations are parallel and never intersect. Therefore no solution.
C) The two equations are stacked on top of one another. No matter with point of the like is chosen, the point will satisfy both equations.
helppppppppppppppppppppppppppp meeeeeeeeeee find the area
Answer:
30.3/option 3
Step-by-step explanation:
Area of paralellogram:
((2+10)/2)*4
12/2*4
6*4
24
Area of semicircle
(pi*r^2)/2
3.1415*2^2/2
3.1415*4/2
6.283
Total:
24+6.283 = 30.283
Round it and it becomes 30.3 so option 3
plz mark brainliest if you find this helpful
Answer:
Half of 4 is 2
2^2 = 4
4 x 3.14 = 12.56, 12.56 divided by 2 = 6.28
10 + 2 = 12
12 x 4 = 48, 48 x 1/2 (basically just dividing by 2) = 24
Add the given areas:
24 + 6.28 = 30.28 m^2
Olivia is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $2. She will sell the cards for $6 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?
Answer:
$8
Step-by-step explanation:
How do you solve equivalent questions?
One of the way by which we can solve equivalent questions is by multiplying both the numerator and the denominator by a same number .
The number chosen for the purpose should be same and should be a non zero number. Example, if we want to find the equivalent of 2/8 then we can simply multiply 2 and 8 which are the numerator and the denominator by a same number say 3 .
Then we will get the result as 2 x 3 /8 x 3 = 6 / 24 .
The result will be a number equivalent to the given fraction. This can be checked by reducing the result to its lowest terms.
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The ratio of pears in a fruit salad to people if will serve is 7:15. If Waldo wants to serve 105 people, how many pears will Waldo use?
Answer:
49
Step-by-step explanation:
7/15=x/105
15x=735
x=49
Identify m∠C in the triangle shown. (ASAP PLS HELP!)
A)
17°
B)
19°
C)
21°
D)
23°
Answer:
[tex]x = 21[/tex]
Step-by-step explanation:
Apply triangle interior theorem,
[tex]71 + 88 + x = 180[/tex]
[tex]159 + x = 180[/tex]
[tex]x = 21[/tex]