The sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have:
Decagon, in which the number of sides is 10
The formula for the sum of the interior angles in n number of polygon:
Sum = 180(n - 2)
Plug n = 10
Sum = 180(10-2)
Sum = 1440
Each interior angle = 1440/10 = 144 degree
Each exterior angle = 180 – 144 = 36 degree
The sum of the exterior angles = 36×10 = 360 degree
Similarly, we can find any angle measure for interior or exterior by using the formula:
Sum = 180(n—2)
Where n is the number of sides.
Thus, the sum of the exterior angles of a decagon is 360 degree if each exterior angle measure is 36 degree.
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What’s the volume of the figure below
Answer:
41.89 cm3
Step-by-step explanation:
Given : Height = 10 cm
Given: Radius = 2 cm
Find the volume,
The formula for volume is,
V = π([tex]r^2[/tex])[tex]\frac{h}{3}[/tex]
Fill in the formula with the given values,
π · [tex]2^2[/tex] · [tex]\frac{10}{3}[/tex]
= 41.8879.....
Round answer to the nearest hundredth,
(The Rule For Rounding: the last digit is less than 5, keep the previous digit the same. If it's 5 or more then you should round the previous digit up.)
41.8879
7 is more than 5 so bring the 8 up to a 9,
41.89
Therefore the answer is 41.89 cm3.
Answer:
41.9 cm³ (nearest tenth)
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 2 cmh = 10 cm[tex]\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac{1}{3} \pi \cdot 2^2 \cdot 10\\\\ & = \sf \dfrac{1}{3}\pi \cdot 40\\\\& = \sf \dfrac{40}{3}\pi\\\\ & = \sf 41.88790205\:cm^3\end{aligned}[/tex]
Therefore, the volume is 41.9 cm³ (nearest tenth)
The cost to produce a book is 1200 to get started plus 9 dollars per book. The book sells for 15 dollars each. How many books must be sold to make a profit?
720
Answer:
15/9 = 1200/x
15x/ 15 =10800/15
x= 720
division equation where 13 is quotient with the dividend a whole number and a unit fraction is the divisor
The division equation that satisfies the required parameters where 13 is the quotient is 1/1/13 = 13
How to determine the equation?The given parameters are:
Quotient = 13Dividend = Whole numberDivisor = Unit fractionA division equation is represented as:
Dividend/Divisor = Quotient
Substitute Quotient = 13
Dividend/Divisor = 13
A unit fraction is represented as 1/n, where n is an integer.
So, the divisor can be represented as 1/13
Dividend/1/13 = 13
Divide both sides by 13
Dividend = 1
So, we have:
1/1/13 = 13
Hence, the division equation is 1/1/13 = 13
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The splasher pool holds what percent of the water the paddler pool holds?
Answer:
the splasher pool holds 133%.
Step-by-step explanation:
sponsored / paddler equals 144 pi over 108 pi equals 1.3 * 100 = 133%
Wanja bought fruits which were being sold at 3 fruits for sh 2.00. She then sold them at 3 fruits for sh 3.50. What profit did she make after selling 450 fruits? [1990 No. 25) sh 300.
Answer:
The answer is sh50......
Find the 5th term in the sequence an=3n - 5
Answer:
aₙ = 3n - 5
5th term = a₅ = 3.5 - 5 = 15 - 5 = 10
Answer:
a₅ = 10Step-by-step explanation:
aₙ = 3n - 5
Put n = 5:
a₅ = 3 · 5 - 5
a₅ = 15 - 5
a₅ = 10
PLEASE HELP DUE IN 10 MINS!!!
Use the space below to show your work check your work very carefully because you will need to use your answers to complete part 2 HELP ME WITH THE ONE ON THE BOTTOM BUT IF I HAVE A MISTAKE PLS TELL ME
Answer:
yes, all answers are correct
Step-by-step explanation:
Please help me on this!
How can I solve (-2x-6x^2-4)+(5x^2-2x).
[tex] ( - 2x - 6x ^2 - 4) + (5 x^{2} - 2x)[/tex]
Step-by-step explanation:
we can only solve an equation.
but here we only have an expression, which we can simplify :
(-2x - 6x² - 4) + (5x² - 2x)
-2x - 2x - 6x² + 5x² - 4
-4x - x² - 4
Anyone know the answer to this
Answer:
The answer is A
Step-by-step explanation:
because the angle in the circle is a central angle the angle is the same value as the arc.
Hope this helps!!
Simplify: 6(x-2y) - 3(2x+y)
Answer: -15y
Step-by-step explanation:
6(x-2y) - 3(2x+y)
6x-12y -6x-3y
0x -15y
-15y
Answer:
-15y
Step-by-step explanation:
6(x-2y) - 3(2x+y)
6x-12y -6x-3y
0x -15y
-15y
Nike, Ricky, and Danny competed in a go-cart race. Nike drove three times as fast as Ricky. Adding 2 to Nike's speed, and dividing by 4 gives the speed at which Danny drove. Danny drove at a speed of 26 mi/h. Identify the speed at which Ricky drove.
Answer:
Ricky drove at a speed of 34 mi/h.
Step-by-step explanation:
Danny = 26 mi/h
26 x 4 = 104
104 - 2 = 102
102/3 = 34
joe received $375 for his graduation He put $205 into his savings account About what Percent of his graduation money did joe put into savings
10. Select the three lengths that could
form a right triangle.
A. 5
B. 6
C. 8
D. 12
E. 13
F. 15
Answer:
5, 8, 12
Step-by-step explanation:
l ]
l ] 8
l. ]
5 l
l________________]
12
What is angle 3
Help please
Answer:
a3 = 112
Step-by-step explanation:
a2 + a1 = a4
So
3x + 20 = 4x + 4
x = 16
a4 = 68
180 - 68 = 112
Parents donated fudge for the fund raiser for your classroom. 40 pounds of chocolate fudge sold for $2.15 per pound and vanilla fudge sold for $1.90 per pound. Your class made $158.20. How many pounds of fudge were sold?
Answer:
77 pounds of fudge were sold.
what is 103 + 343 + 252
Answer:
its 698...............................
What is TS? Need some help on this
Answer:
8
Step-by-step explanation:
I hope this helps! If it does, please click "Thanks" to help me out!
Answer:
TS = 8 units
Step-by-step explanation:
see image.
Write a proportion. Crossmultiply and solve.
How does the slope of g(x) compare to the slope of f(x)? the slope of g(x) is the opposite of the slope of f(x). the slope of g(x) is less than the slope of f(x). the slope of g(x) is greater than the slope of f(x). the slope of g(x) is equal to the slope of f(x).
The statement that correctly compares the slopes of the linear functions is: the slope of g(x) is less than the slope of f(x).
How to Find Slope of a Linear Function?Slope of a linear function = change in y / change in x = rise/run
Given the linear functions, g(x) and f(x) as shown in the image attached:
Slope of g(x) = 1/2 = 0.5
Slope of f(x) = 2/1 = 2
Therefore, we can conclude that: the slope of g(x) is less than the slope of f(x).
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Which is the value of this expression when p = -2 and q = -1?
-4
-1/16
1/16
4
Answer:
Here is the ans...hope it helps:)
A fair spinner has 12 equal sections: 4 red, 5 blue and 3 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answer: 2/3 i beleive
Step-by-step explanation:
I really need help with this. Please.
A chef has two dozen meatballs to add to a pot of sauce. Each meatball has a two-inch diameter. Before the meatballs are added, the sauce is 2 inches from the top of the 14-inch diameter pot. Will the sauce spill over when the chef adds the meatballs to the pot? Show all of your work to justify your answer.
Given the volume of the space in the pot and the volume of the meatballs, the sauce will not spill over.
Will the sauce spill over?
The first step is to determine the volume of the remaining space that the sauce is yet to fill. A pot usually has the shape of a cylinder, so the formula for the volume of a cylinder would be used.
Volume of a cylinder = πr²h
π x (14/2)³ x 2 = 98 in³
The second step is to determine the volume of the two dozen meatballs.
Volume of a sphere = 4/3πr³
24 x (4/3 x π x (2/2)³) = 32π in³
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The sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.
Volume of the sauce in the potThe volume of sauce in the pot is calculated as follows;
V = πr²h
V = π x (7)² x (2)
V = 98π in³
Volume of the two dozen meatballsArea of 1 meatball = πr² = π x (1)² = π in²
Area of the 2 dozen = (2 x 12) x A
= 24 x π in² = 24π in²
the height of each meatball = 2 in,
Volume of the 2 dozens = 2 in x 24π in² = 48π in³
Total volume of the meatball and sauce in the pot = 98π + 48π = 146π in³
Thus, the sauce will spill over if the volume of the pot is less than 146π in³ and it will not spill over if the volume of the pot is more than 146π in³.
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Find the sum of 100 and -100
Answer:
0
Step-by-step explanation:
-100+100 = 0
Answer:
the answer would be 0
because if you take 100 away from 100 you have 0 left
What is the approximate length of arc s on the circle below? use 3.14 for pi. round your answer to the nearest tenth. a circle is shown. 2 rays form an angle of 45 degrees. the length of the rays is 8 inches. arc s contains the angle measuring 45 degrees. 5.6 in. 6.3 in. 14.3 in. 25.1 in.
The length of an arc with central angle of 45 degrees and radius of 8 inches is 6.3 inches.
How to find length of an arc?length of an arc = ∅ / 360 × 2πr
where
∅ = central angler = radiusHence,
r = 8 inches
∅ = 45 degrees
Therefore,
length of an arc = 45 / 360 × 2 × 3.14 × 8
length of an arc = 2260.8 / 360
length of an arc = 6.28 inches
length of an arc = 6.3 inches
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Answer:
b
Step-by-step explanation:
how do you find the perfect square (x+1)^2=0
Answer:
By multiplying the term by itself (x+1)(x+1)
Some people like to use the box technique, which formats like this:
x + 1
x x^2 1x
+
1 1x 1
The terms multiply in columns, and then add all together
So
x^2 + 1x + 1x + 1 can be simplified to x^2+2x+1 = 0, which is the perfect square of (x+1)^2 = 0
Step-by-step explanation:
What is the length of the missing leg?
Answer:
[tex]a=12[/tex]
Step-by-step explanation:
Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]
In this case, a = 9, b = a, and c = 15.
[tex]9^{2}+a^{2}=15^{2}[/tex]
[tex]81+a^{2}=225[/tex]
The, we subtract 81 from both sides getting:
[tex]a^{2}=144[/tex],
Then, [tex]a=12[/tex]
Marina he spends one-third of his money on food and three-fifths of the rest on drinks If he had $120 left over,¿how much money did he have to start with?
Answer: $184
Step-by-step explanation:
Step (1)- 1/3 of 120= $40
Step (2)= 3/5 of 40= $24
Step (3)- 40+24+120= $184 (ToTaL)
Hope this helpss!
Determine the equation of the graph.
Answer: A
Step-by-step explanation:
Answer:
well its slop interform
Step-by-step explanation:
carrie is building a wooden birdhouse for her mom. She finds a plank in the garage to use for the base. When she realizes its too long, Carrie cuts 3 inches off the plank. Now its the correct length of 8.25 inches. what does she subtract the 3 with to get 8.25?
Needing a bit of help
Answer:
x=2, y=-4
Step-by-step explanation:
If you put a vertical or horizontal line straight through the shape and it looks the same, then it is symmetrical. You can put a symmetrical line both vertically AND horizontally. To do this, you just need a line going through the points at the tips and the points at the sides of the quadrilateral. A line that is vertical will be an x=, because it only covers one x-value. So, the line for x will be x=2, because it goes through both tips of the quadrilateral. A horizontal line will be y= because it only covers one y-value. So, the line for the horizontal line will by y=-4, because this goes through both sides of the quadrilateral.
Hope this helps!
