1. 1080°
2. 36°
3. 27 diagonals
4. 140°
5. 7 sides
Step-by-step explanation:1. The sum S of the interior angles of a polygon is given by;
S = (n-2) x 180°
Where;
n = number of sides of the polygon.
Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;
S = (8 - 2) x 180°
S = 6 x 180°
S = 1080°
Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°
2. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a regular decagon where the number of sides n = 10, the sum is;
S = (10 - 2) x 180°
S = 8 x 180°
S = 1440°
Since the decagon is regular, then each of its interior angles is given by;
1440° / 10
=> 144°
Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;
The exterior angle of a regular decagon is;
180° - 144° = 36°
Therefore, the exterior angle of a regular decagon is 36°
3. The number of diagonals N of a polygon with n sides is given by;
N = [tex]\frac{1}{2} n(n-3)[/tex]
So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;
N = [tex]\frac{1}{2}*9(9-3)[/tex]
N = [tex]\frac{1}{2}*9(6)[/tex]
N = 9(3)
N = 27
Therefore, a nonagon has 27 diagonals.
4. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a nonagon where the number of sides n = 9, the sum is;
S = (9 - 2) x 180°
S = 7 x 180°
S = 1260°
Since the nonagon is regular, then each of its interior angles is given by;
1260° / 9
=> 140°
Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°
5. The sum of the interior angles of a polygon is given by;
S = (n - 2) x 180°
So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;
900° = (n - 2) x 180°
Divide through by 180°
5 = (n - 2)
Solve for n;
n = 5 + 2
n = 7
Therefore, the regular polygon has 7 sides.
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
Using the net below, find the surface area
of the pyramid.
cm
4cm
4 cm
Surface Area
[?] cm2
Answer:
56 cm^2
Step-by-step explanation:
Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.
Area of square base (side^2)
4^2 = 16 cm^2
Area of ONE triangular face (1/2 x b x h):
1/2 x 4 x 5 = 10 cm^2
Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2
ADD all the areas of triangles and square:
16 cm^2 + 40 cm^2 = 56 cm^2
HOPE THIS HELPS
Have a nice day!
of the flights that recently arrived at Burlington Airport, 488 were on time and 224 were late.
What is the experimental probability that the next flight to arrive will be late?
Write your answer as a fraction or whole number.
P(late) =
Answer:28/89
Step-by-step explanation: dont worry about this :/
Someone help me please
Answer:
-32..............
......
Answer:
-32.
Step-by-step explanation:
This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.
Can someone please help me . Find the area of the circle. Round your answer to the nearest hundredth. Use 3.14 or 22/7 for pi.
Area: about ____ inches squared
Alma and Oliver both created this blue segment on the previous screen.
Alma used this expression to find the length: $$
Oliver used this expression to find the length: $$
Whose expression is correct?
Alma
Oliver
Both
Neither
Answer:
none
Step-by-step explanation:
that's not the correct sign
What is 1 1/2 + 2 3/5
Answer:
i think its 5.7
Step-by-step explanation:
Answer:
4 1/10
Step-by-step explanation:
Multiply the rational expressions 2x^2 - 4x - 6 x^2 - 4 ——————- • ——————— x + 2 2x^2 + 2x
Answer:
C =(x-3)(x-2)/x
or
x²-5x+6/x
Step-by-step explanation:
2x^2 - 4x - 6/x + 2 * x^2 - 4/2x^2 + 2x
Factorizing the given factors
1) 2x^2 - 4x - 6
= 2x^2 - 6x+2x - 6
= 2x(x-3) +2(x-3)
= (x-3)(2x+2)
2) x^2 - 4
= (x+2) (x-2)
3) 2x^2 + 2x
= 2x( x+1)
Putting the factors
(x-3)(2x+2)/x + 2 * (x+2) (x-2)/2x( x+1)
= (x-3)(2x+2) (x-2)/2x( x+1)
= 2(x-3)(x+1) (x-2)/2x( x+1)
=(x-3)(x-2)/x
Now multiply
(x-3)(x-2) =x²-5x+6
Then the answer becomes x²-5x+6/x
Rita caught 5 fish. The lengths, in inches, of each tish are listed.
9,13,9, 21, 18
Which statement best represents the meaning of the range for these data?
Given:
The lengths, in inches, of each fish are listed:
9, 13, 9, 21, 18
To find:
The statement that best represents the meaning of the range for these data.
Solution:
The given data values are:
9, 13, 9, 21, 18
Arrange the data values in ascending order.
9, 9, 13, 18, 21
Here, the maximum value is 21 and the minimum value is 9.
We know that,
[tex]\text{Range}=\text{Maximum value}-\text{Minimum value}[/tex]
[tex]\text{Range}=21-9[/tex]
[tex]\text{Range}=12[/tex]
The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.
Rearrange 2y+6x=8 to make y the subject of the formula
Answer:
y= 3x+4
Step-by-step explanation:
2y-6x=8
add 6x to each side
2y-6x+6x=6x+8
2y= 6x+8
divide each side by 2
2y/2 = 6x/2 + 8/2
y= 3x+4
Answer:
y = 3x+4
Step-by-step explanation:
2y-6x=8
We want to solve for y
Add 6x to each side
2y-6x+6x=6x+8
2y = 6x+8
Divide each side by 2
2y/2 = 6x/2 +8/2
y = 3x+4
Hope this answer helps you :)
Have a great day
Mark brainliest
what type of function helps the data
Curtis decided to go on a trip to Canada . On the first day on his trip , he drove 12 hours and traveled 732 miles . At what rate did he travel , in miles per hour
Answer:
61 mph
Step-by-step explanation:
He drove 732 miles in 12 hours. How many miles would he drive if it was 1 hour? (per hour) If we subtract 732 by 12, the answer would be miles per hour. 732/12=61 Therefor, his speed is 61 miles per hour.
Question is in the image below
9514 1404 393
Answer:
A) r = d/t
B) 221,760 ft/h
C) 42 mi/h
D) miles; the number is more comprehensible
Step-by-step explanation:
A) Given d = rt
Divide by the coefficient of r to solve for r.
r = d/t
__
B) Fill in the given numbers to find the rate in ft/h.
r = (665,280 ft)/(3 h) = 221.760 ft/h
__
C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.
(221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h
__
D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.
Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
2012 km squared
Step-by-step explanation:
2600(.95)^5
if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent
uh sorry if that doesn't make a lot of sense
which number line models the expression -1 1/4 - (-1/2)
Answer:
option on c or under the first answer
C option number line models the expression -1 1/4 - (-1/2)
What is number line?A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.
According to question the given expression is -1 1/4 - (-1/2)
On solving -1 1/4 = -5/4 or -1.25
and we can write (-1/2) as -0.5
so the expression is simplified to -1.25 - (-0.5) = -0.75
Thus the correct option is "C"
To know more about number line click here
https://brainly.com/question/16191404
#SPJ2
Use the diagram to determine which expressions you
can use to find 60% of 90.
Check all that apply.
O 3 x 0.20
O 0.60 x 90
O 0.90 x 0.60
O 3 x 20%
O 3 x 18
(IN A TEST PLEASE HELP)
Answer:
You can use 0.60 × 90, 3 × 18 works as well.
Step-by-step explanation:
Hmmm....let's see.
You can use 0.60 × 90, 3 × 18 works as well. The answer is 54.
We know this because when finding a percentage of a number you multiply that decimal by the number. 2nd option as well as last option could work. Hope this helps, please mark brainliest!
Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair
There are 10 parts on the spinner 4 orange, 5 blue and 1 grey.
Answer:
no
Step-by-step explanation:
because it's unequal
Choose the sentence that uses an intensive pronoun. A. Why don't you give yourself a big pat on the back? B. I took the cake to Ayana herself before the party. C. The teacher picked up the stack of papers by herself. D. Our parents gave us confidence to do things ourselves
Which of the following ordered pairs is not in the solution set of y < 2x − 5? Question 27 options: (4, 3) (5, 0) (0, −7) (6, 4)
Answer:
[tex](4,3)[/tex]
Step-by-step explanation:
If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution
Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (o)
What is the first step to evaluate: 33+46+14
options:
1. 33+46
2. 33-14
3.46-14
Both operations in the equation are adding so you would add the numbers from left to right.
The first step would be 33 + 46
Answer: 1. 33 + 46
does anyone get this ?
Answer and Step-by-step explanation:
i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1
Since we know this, we can go to the last instance of the multiply of 4.
For this question, it is 12. 2 more after twelve is 14. Since it is 2, it would be -1.
D. -1 -- This is the answer.
#teamtrees #PAW (Plant And Water)
10^7 is how many times as large as 3.10^3
Answer:
333831
Step-by-step explanation:
Answer:
10^7 is 10,000,000
3 x 10^3 is 3000
Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000
& you’ll get 3333.3
Step-by-step explanation:
Can somebody help me? Plsss
Answer:
3/10
Step-by-step explanation:
There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10
Answer:
3/13
Step-by-step explanation:
Total cards in a deck=52
There are four cards of each number which in this case is 2,3,4
Total of 2s,3s,and 4s=12
12/52 simplify this and u get
3/13
Hope this helps u
15.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y=-2x^2-1?
A. y=-3x^2+3
B. y=-3x^2+1
C. y=3x^2-3
D. y=-3x^2-1
Answer:
C. y=3x^2-3
Step-by-step explanation:
y=3x^2-3 is lower than y=2x^2-1
So C.y=3x^2-3
The answer would be : C. -3x^2-3.
Hope this helps !
Perform the indicated operation. 14 - (-10) -24 24 -4 4
Answer:
24
Step-by-step explanation:
14 - (-10)
Subtracting a negative is like adding
14+10
24
Answer:
24
Step-by-step explanation:
14 - ( - 10 )
use :- ( - ) ( - ) = ( + )14 + 10
add the numbers
24
Hi! please help :) ty! (10 points)
Explain the difference between finding the volume of this right rectangular prism with whole unit cubes and with 1/2 unit cubes.
help is appreciated :)
Answer:
Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.
Step-by-step explanation:
i hope my answer to be appreciated!!
Find the median of 2,4,4,8
Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
ine N passes through the points (–1, 4) and (–1, –4).
A coordinate plane.
Which is true of line N?
Line N is a vertical line with an undefined slope.
Line N is a vertical line with a slope of zero.
Line N is a horizontal line with an undefined slope.
Line N is a horizontal line with a slope of zero.
Answer:
Line N is a vertical line with an undefined slope.
Step-by-step explanation:
[tex]{ \tt{slope = \frac{ - 4 - 4}{ - 1 - ( - 1)} }} \\ = { \red{ \tt{! \: math \: error}}}[/tex]
The system of equations above has solution (x,y). What is the value of x?
Answer:
x = 5.25
Step-by-step explanation:
Solve by substitution by substituting 2x as y into the first equation:
1/2(2x + y) = 21/2
1/2(2x + 2x) = 21/2
Simplify and solve for x:
1/2(4x) = 21/2
2x = 21/2
x = 21/4
x = 5.25
So, x = 5.25
Answer:
x = 5.25
step- by - step explanation
1/2 × ( 2x + y ) = 21/2 .............( 1 )
y = 2x ......................( 2 )
substitute the value of y in ( 1 )
1/2 ( 2x + 2 x ) = 21/2
simplify
1/2 ( 2 x + 2 x ) = 21/2
combine like terms
1/2 ( 4x ) = 22/2
Divide the numbers
1/2 ( 4 x ) = 10.5
divide 4 x by 2
4 x / 2 = 10.5
2 x = 10.5
divide each side by 2
2x/2 = 10.5 / 2
x = 5.25