Answers
Set that expression equal to 1800 and solve for n, the number of sides.
180(n - 2) = 1800
Divide both sides by 180
n - 2 = 10
Add 2 to both sides
n = 12
The polygon has 10 sides.
so you can use this to find out how many sides of this polygon
(n-2) × 180° = 1800
n - 2 = 10
n = 12
this polygon has 12 sides
Related Questions
The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle.
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I hope this helps.
width=m
length=5m
Area= l x w
Area=5m x m
Area=5m^2
(^ the exponent or power)
tell weather the side lengths can form a trangle
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Which is an equation of the line with x-intercept 2 and y-intercept 12?
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The population of bees has been decreasing at a rate of 10% per year in 2012 there were 6000 bees in particular hive how many bees were there in 2014
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10% of 6000 is 60
so 6000 - 60 = 5940
2013 = 5940 bees
10% of 5940 = 59.4
so 5940 - 59.4 = 5880.6
so in 2014 you 5881 because you cant have a 0.6 of a bee
The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bills. Which expression could represent the amount of money that was stolen? A) 280(100x+50y+20z) B) 100x+50y+20z-280 C) 280x+170 D) 170x+280170x+280 E) 100x+50y+20z+280
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Writing equations from graphs
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PLAESE HELP ME FAST THIS IS WORTH 20 POINTS
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the average cost for a company to produce x items is x^2-10x+43 dollars. how many items should the company produce to minimize the average cost per item?
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[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llll} y = &{{ 1}}x^2&{{ -10}}x&{{ +43}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{(-10)}{2(1)}~~,~~43-\cfrac{(-10)^2}{4(1)} \right)\implies (\stackrel{\textit{items to produce}}{5}~~,~~\stackrel{\textit{production cost}}{18})[/tex]
Which of the following inequalities is graphed below I'll give 5 stars if you want
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A floor plan shows the area of a room is 271.25 square feet. if the room is 15.5 feet wide, how long is it?
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Final answer:
The length of the room is calculated by dividing the area of 271.25 square feet by its width of 15.5 feet, resulting in a length of 17.5 feet.
Explanation:
To find the length of the room given its area and width, we will divide the area by the width. The formula for finding the area of a rectangle is Area = length × width. So, to find the length, we can rearrange this formula as length = Area ÷ width, which means dividing the given area by the width.
We know the area of the room is 271.25 square feet and the width is 15.5 feet. So the calculation for the length will be:
Length = 271.25 sq ft ÷ 15.5 ft
Length = 17.5 ft
Therefore, the length of the room is 17.5 feet.
root of 108 is between______ and ______
Determine what two whole numbers the square root is between without using a calculator or table. Then use a calculator or table to check.
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How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 = 10.3923
Kevin has $4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether?
A.) 74 coins
B.) 75 coins
C.) 76 coins
D.) 77 coins
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Answer:
The answer would be (D) 77 coins :)
Step-by-step explanation:
What is 120 degrees in radians?
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Answer:
[tex]\frac 23 \pi [/tex]
Step-by-step explanation:
120 degrees is one third of the whole circle, or [tex] \frac 13 2\pi [/tex]
Answer:
the answer is 2pi/3
Triangles XYZ and PQR are drawn on a square grid. What fraction of the area of triangle XYZ is the area of trianglePQR?
Answers
From the given figure: The base of the bigger triangle is 6 units and the height is 3 units.
The base of the smaller triangle is 3 units and the height is 2 units.
The area of the big triangle is [tex] \frac{1}{2} \times6\times3=9\, square\, units[/tex]
The area of the small triangle is [tex] \frac{1}{2} \times3\times2=3\, square\, units[/tex]
The required fraction is [tex] \frac{3}{9} = \frac{1}{3} [/tex]
To determine the fraction of area of triangle XYZ that is occupied by triangle PQR on a square grid, we can compare their linear dimensions and use the fact that area is proportional to the square of these dimensions, or we can approximate the area through summation of small rectangular areas on the grid. Alternatively, vector methods such as the cross product can provide precise area calculations for triangles with known vertices.
Finding the Area of Triangles on a Square Grid
To find what fraction of the area of triangle XYZ is the area of triangle PQR, we follow several steps. First, we can draw both triangles on a square grid and establish their respective areas. If we assume that XYZ is the larger triangle and PQR is the smaller one, we can use the fact that area scales in proportion to the square of the linear dimensions. This means, if the linear dimensions of PQR are half that of XYZ, the area of PQR would be one-fourth that of XYZ. In mathematical terms, if the side length of XYZ is scaled by a factor of 's', the area is scaled by s².
Another method to approximate the area of irregular shapes like these triangles, as mentioned in a reference, is by dividing the shape into smaller, manageable rectangular areas whose sum approximates the total area. Counting the smallest square units within the grid and making rough estimates of the fractional squares can yield the area as well.
To demonstrate the calculation of the area of a triangle through vector methods, one can use the cross product of two vectors defined by the triangle's vertices. Given vertices A(1,2,3), B(2,4,5), and C(1,-8,0), their position vectors can be used to compute the cross product, and the magnitude of this cross product gives twice the area of the triangle ABC. This is a more advanced method and offers a precise way to calculate the area without relying on the grid.
A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad picks her up and drives her through the remainder of the way at 30 miles per hour. If they arrived at school at 9:00, how far did she walk?
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Answer:
She walked 5 mi
Write an equation of the line through (5,5)and parallel to the line 4x+3y=-2
Please help
Answers
4x + 3y = -2
Subtract 4x from both sides.
3y = -4x - 2
Divide all terms by 3.
y = -4/3x - 2/3
The slope in this equation is -4/3 (4 down, 3 to the right).
Using that slope, input the coordinates (5, 5) into the equation of a line:
y - y1 = m(x - x1)
y - 5 = -4/3(x - 5)
y - 5 = -4/3x + 20/3
y = -4/3x + 35/3
The equation of the line is y = -4/3x + 35/3.
QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
Answers
the correct graph is bottom left
the one that the 2 lines cross each other
When the function f(x) is divided by x-2 the quotient is 3x^2+8x-4 and the remainder is 9 find the function f(x) and write the result in standard form?
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∴ dividend = divisor(quotient) + remainder ... there is a reason why I am not multiplying the remainder by the divisor in this case... your remainder is not represent as a fraction with the divisor as the denominator..
[tex]f(x)=(x-2)(3x^2+8x-4)+9=3x^3+8 x^{2} -4x-6 x^{2} -16x+8+9[/tex]
[tex]f(x)=3x^3+2x^2-20x+17[/tex]
The expression for the function f(x) in standard form is f(x) = 3x³ + 2x² - 20x + 17 if the function f(x) is divided by x-2.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
When the function f(x) is divided by (x - 2) the quotient is 3x² + 8x - 4 and the remainder is 9
By using the division algorithm:
f(x) = (x - 2)(3x² + 8x - 4) + 9
After simplification:
f(x) = 3x³ + 8x² - 4x - 6x² - 16x + 8 + 9
f(x) = 3x³ + 2x² - 20x + 17
Thus, the expression for the function f(x) in standard form is f(x) = 3x³ + 2x² - 20x + 17 if the function f(x) is divided by x-2.
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Fatema loves to run marathons. The last one she participated in took her 2 hours to complete. The year before (2016) , she completed the same marathon in 8/11 of the time and the year before that (2015) she completed it in 9/12 of the time. What year did Fatema run the fastest? JUSTIFY YOUR ANSWER PLEASE I NEED HELP ASAP!
Answers
2016 = 8/11 x 120 mins = 87.27 mins
2015 = 9/12 x 120 mins = 90 mins
Therefore, Fatema ran the fastest in 2016.
LANDSCAPING The equation 3x+7y =105 represents the number of bags of sand x and bags of multch y that can be bought with $105. If no bags of sand are bought, how many bags of mulch can be bought with $105 ?
Answers
To find the answer, plug in 0 for x since you aren't buying any bags of sand and then you have 7y=105 and divide by 7 to find y which is 15.
When no bags of sand are bought, you can buy 15 bags of mulch with $105.
Explanation:To find the number of bags of mulch that can be bought with $105 when no bags of sand are bought, we need to substitute x = 0 into the equation 3x+7y = 105. This will allow us to solve for y.
Since x = 0, the equation becomes:
3(0) + 7y = 105
0 + 7y = 105
7y = 105
Dividing both sides by 7, we get:
y = 15
Therefore, when no bags of sand are bought, you can buy 15 bags of mulch with $105.
QUICKK EXPERTS/ACE OR ANYONE WHO WANTS TO HELP!!
Answers
bottom left,
since the lines are parallel with each other there is no solution
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. use 3.14 for pi. (1 point) 3 inches 6 inches 9 inches 12 inches
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To find the answer, set the volume of the cone (56.52) equal to the formula for the volume of the cone (3.14(r)squared times height) Plug in the height and solve for the radius. When you have the radius (3) multiply it by 2 to get the diameter (6).
Answer:
Diameter= 6 inches
Step-by-step explanation:
A card is drawn from a deck of 52 cards. find the probability of drawing a king or a red card
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drawing a red car:26/52
drawing a red king: 2/52
4/52 +26/52 -2/52=28/52
change to decimal if required: 0.5385
What number is diviscible by 2?
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Is the square root of 37 rational or irrational
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Hope this helps!
Given 11 is conguent to 3, which lines, if any, must be parallel based on the given information? Justify your conclusion
A. a || b, Converse of the Alternate Exterior Angles Theorem
B. c || d, Converse of the Same-Side Interior Angles Theorem
C. a || b, Converse of the Corresponding Angles Theorem
D. not enough information to make a conclusion
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Let a and b be real numbers where a=b=0. Which of the following functions could represent the graph below?
f(x)=x(x-a)^3(x-b)^3
f(x)=(x-a)^2(x-b)^4
f(x)=x(x-a)^6(x-b)^2
f(x)=(x-a)^5(x-b)
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Answer:
Option: b is the answer.
( f(x)=(x-a)^2(x-b)^4 )
Step-by-step explanation:
Clearly from the graph of the function we could see that zero is not a root of the polynomial function hence option (a) ( f(x)=x(x-a)^3(x-b)^3 ) and option (c) ( f(x)=x(x-a)^6(x-b)^2 )are discarded.
Now we will check for option (b) and option (d)
As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.
Hence, the correct option is:
option: b ( f(x)=(x-a)^2(x-b)^4 ).
It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴
How to solve the graphFrom the graph, a and b be real numbers where a=b=0. In this case, zero is not a root of the polynomial function
When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.
In conclusion, the correct option is B.
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Find the next two terms of the sequence. 2, 6, 10, 14, ... (1 point)
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Noticing this sequence, we will find that the sequence increases by 4 each time. This means that:
The next number = the current number + 4
In other words:
2
2+4 = 6
6+4 = 10
10+4 = 14
14+4 = 18
Therefore, the next number in the sequence would be 18
Answer:
C. 18,22
Step-by-step explanation:
The prices on many of the cafeteria food change during the year. Elvira finds that she has order veggie burgers four times and paid $78,$72,$87, and $90 on the orders. To stay within budget, she needs to be sure her average order of veggie burgers is not more than $82. How much can she spend on the fifth order to keep the average within her budget ?
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Elvira can spend $83 to keep the average not more than $82
Elvira spend $83 on the fifth order to keep the average within her budget.
What is Average mean?
The average mean of numbers is calculated by dividing the sum of all numbers by the total number of terms.
Given that;
Elvira finds that she has order veggie burgers four times and paid $78, $72, $87, and $90 on the orders.
And, To stay within budget, she needs to be sure her average order of veggie burgers is not more than $82.
Now, Let the fifth order to keep the average within her budget = $x
Then, By the definition of average mean we get;
= 78 + 72 + 87 + 90 + x / 5 = 82
= 327 + x = 82 × 5
= 327 + x = 410
= x = 410 - 327
= x = 83
Thus, Elvira spend $83 on the fifth order to keep the average within her budget.
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Determine if the lines are parallel, perpendicular, or neither 4x+5y=10 and 5x -4y= 28
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4x + 5y = 10
5y = -4x + 10
y = -4/5x + 2.....the slope here is -4/5...the y int is 2
5x - 4y = 28
-4y = -5x + 28
y = 5/4x - 7...the slope here is 5/4...and the y int is -7
for the lines to be parallel, they would need the same slope and different y intercepts. So, as u can see, they are not parallel because they do not have the same slope.
for the lines to be perpendicular, the lines would have to have negative reciprocal slopes. They do....u have perpendicular lines. To find the negative reciprocal of a number, u flip the number and change the sign. One line had a slope of -4/5....the negative reciprocal is : flip the number making it -5/4....change the sign, making it 5/4...which is the slope of the other line...so these slopes are negative reciprocals.
so u have perpendicular lines
The two lines 4x + 5y = 10 and 5x - 4y = 28 are perpendicular to each other as they have slopes that are negative reciprocals of each other.
What is a slope?The slope is generally defined as the rate of change of the y-axis with respect to the x-axis.
We know we can determine if two lines are parallel or perpendicular to each other by their slope.
If they are parallel they will have the same slope and if they are perpendicular they will have slopes that are negative reciprocals of each other.
Given are two lines 4x + 5y = 10 and 5x - 4y = 28.
We know the equation of a line is y = mx + b.
∴ 4x + 5y = 10 can be written as 5y = -4x + 10 Or y = -(4/5)x + 5/2.
And 5x - 4y = 28 can be written as -4y = -5x + 28 Or y = (5/4)x - 7.
Thus we can conclude that these two lines are perpendicular to each other as (-4/5) is the negative reciprocal of (5/4).
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