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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Please explain me briefly if you can!!
Answer:
[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]
Step-by-step explanation:
x⁶-y⁶
(x³-y³)(x³+y³) difference and sum of two cubes
[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]
How might we know whether x is a positive number, negative number, or zero, without solving the equation?
solve the radical. x+4=sqrt x+10 what is the extraneous solution to the radical equation
Answer:
-6 is an extraneous solution.
Step-by-step explanation:
We can start by solving this problem.
First, to remove the square root, we can square both sides.
[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]
Next, we can subtract both sides by (x+10)
[tex]x^2 + 7x + 6 = 0\\[/tex]
Then, we can factor out the equation.
[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]
Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,
-1 + 4 = √(-1 + 10)
3 = 3
-6 + 4 = √(-6+10)
-2 ≠ 2
Therefore, -6 is an extraneous solution.
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the other. If the two cyclists are 56 miles apart after 2 hours, what is the rate of each cyclist.?
Answer:
12 mph and 16 mph
Step-by-step explanation:
distance = speed * time
56 = s * 2 + (s - 4) * 2
56 = 2s + 2s - 8
56 = 4s - 8
64 = 4s
16 = s
s = 16
s - 4 = 12
Let the speed of the faster bike = X
The slower bike would be x - 4 ( 4 mph slower)
Multiply each speed by time and add to equal total distance:
2x + 2(x-4) = 56
Simplify:
2x + 2x -8 = 56
4x -8 = 56
Add 8 to each side:
4x = 64
Divide both sides by 4:
x = 64/4
x = 16
The faster bike rode at 16 miles per hour
The slower bike traveled at 16-4 = 12 miles per hour
what is the explicit formula for this sequence? 7, 2, -3, -8
Answer:
Common difference (d) = -5
Step-by-step explanation:
formula=>
an = a + (n-1)d
=> -8 = 7 + (4-1)d
=> -15 = 3d
=> 3d = -15
=> d = -15/3
=> d = -5
Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.
Answer:
a trapezium
Step-by-step explanation:
by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium
CAN SOMEONE PLEASE ANSWER THESE TWO QUESTIONS?! I NEED HELP!
Answer:
B ; A
Step-by-step explanation:
1) The first operation that we have to do is the division
2) we have to added up the the fishes
Please help me solve my problem!!!
Answer:
The answer is False.
Step-by-step explanation:
Cause consecutive angles for parallelogram are supplementary.
Need help on this!! Will give 20 points!!!
Answer:
80 mm
Step-by-step explanation:
1/p + 1/20 = 1/16
Subtract 1/20 from both sides
1/p = 1/16 - 1/20
Use 160 as common denominator
1/p = 10/160 - 8/160
1/p = 2/160
1/p = 1/80
Cross multiply
80 = p
80 mm
Write 0.00467 in standard form
Answer:
[tex]\frac{0.00467}{100000}[/tex]
Step-by-step explanation:
Given :
0.00467
Now,
[tex]0.00467=\frac{0.00467}{100000}[/tex]
Standard form of given equation is :
[tex]\frac{0.00467}{100000}[/tex]
how do do this plz help
Answer:
okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.
second one go down one. then down one right one
a half + a quarter , HELP PLZ RNN
Answer:
Three quarter
Step-by-step explanation:
;]
Answer:
3/4
Step-by-step explanation:
1/2 + 1/4
2/4 + 1/4
2+1/4
3/4
PLZ HELP
The coordinates of the vertices of quadrilateral ABCD are A(–5, –1), B(–1, –1), C(–1, 4), and D(–5, 6). The quadrilateral is reflected about the y-axis and the coordinates of A' are A'(5, –1).
Answer:
do u need other coordinates?
if so B'(1,-1)
C'(1,4)
D'(5,6)
the formula is (-x,y)
hope it helps :)
Answer: D is 5,6
Step-by-step explanation:
Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A.
both a relation and a function
B.
neither a relation nor a function
C.
function only
D.
relation only
Answer:
relation only
Step-by-step explanation:
The vertical line will be relation only.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.
In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Noted that Linear function is a function whose graph is a straight line
We can conclude that vertical line would be relation only.
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micheal has $550 in his savings account he took out $30.75 every month for one year what is the net change in michaels account balance following these withdrawals
Answer:
$ 181
Step-by-step explanation:
He has total savings account= $550
If he took out every month = $ 30.75 ,
Total account he has took out in a year = $ 30.75 × 12= $ 369
micheal has total balance = $ 550 - $369
= $ 181
A new roller coaster is set to open at an amusement park. Due to the height and speed of the roller
coaster, you must be taller than 48 inches to ride.
PAG
Answer:
48cm<h
Step-by-step explanation:
Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer
Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
please answer the question by reading the text. also what is the relationship between
1) Write an equation describing the relationship between
Answer:
Step-by-step explanation:
P= plain coasters
L= logo coasters
3(P+L) +25 if they want to buy logo coasters or logo and plain coasters
3P if they want to buy plain coasters
no matter the amount of logo coasters there is a one time charge of $25
So we do not need to know how many with logo
The prize of both kind of coaster is $3
HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches
Answer:
3.8 inches
Step-by-step explanation:
12 = 2 x 22/7 x r
84= 2 x 22 x r
42 = 22r
r = 1.9
2r = 3.8inches.
diameter is twice the radius
diameter = 3.8 inches
hope its right. good luck!
pls say the answers
i need this for my class activity
Answer:
i.c
ii.d
iiid
iv3
v180
Step-by-step explanation:
x is 60
Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.
Answer: $13.90
Step-by-step explanation:
Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:
p + $19.10 = $33
p = $33 - $19.10
The inequality is p = $33 - $19.10
Then, the amount that she can spend on other stationery will be:
P = $33 - $19.10
P = $13.90
She can spend $13.90 on other stationary
Please help ASAP thank you
Find the volume of a pyramid with a square base, where the area of the base is 11.1\text{ in}^211.1 in 2 and the height of the pyramid is 15.3\text{ in}15.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
56.6in³
Step-by-step explanation:
volume of a pyramid = 1/3 x Area of base x height
1/3 x 11.1 x 15.3 = 56.61 in³
56.6 in³ to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth term is 1 which is less than 5. O is added to 6
a radio cost 5400 discount of 121/2% what is the cash price
Answer:
2133$
Step-by-step explanation:
5400-(5400$ *60.5/100)
rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
HELP ME PLEASE I NEED HELP
Answer:
10, and -8.
Step-by-step explanation:
So we know a = -4
We also know that b = 2
Lets plug in a = -4 and b = 2 into b-2a:
2-2(-4)
=
2--8
A minus and minus make a plus, so:
2+8 = 10
So the answer is 10.
Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:
[tex](-4+2)^3[/tex]
=
[tex](-2)^3[/tex]
=
-8
So the second answer is -8.
Hope this helps!
Answer:
a= 2-2(-4)= 10
b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8
the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10 windows. I will mark Brainly help
Answer:
4 students
Step-by-step explanation:
Although I am not sure if I am completely correct. I’ll try my best.
We know:
The numbers 0-12 on the frequency table is the number of windows.
The numbers on the bottom is the amount of students.
-
What we can see:
As we can see..
the 0-4 section in the table shows that only 0-4 students have 9 windows. The 5-9 sections shows that only 5-9 students have 10 windows.The 10-14 sections shows that 10-14 students have 0 windows.The 15-19 sections shows that 15-19 students have 4 windows.The 20-24 sections shows that 20-24 students have 2 windows.-
Calculations:
Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)
Add.
4+0
= 4
Therefore, 4 students have less than 10 windows.
what is the name of the shape made by the equation below?
r=2+2 sin(theta)
Answer:
cardioid
Step-by-step explanation:
r=2+2 sin(theta)
This is of the form
r =a+b theta
This is a limacon
When a = b, it is called a cardioid.
Need help! I will give brainless to person who helps
Answer:
1. X-intercept
Step-by-step explanation:
Answer:
quadranttwo
linear
Step-by-step explanation:
1 across
quadranttwo
14 across
linear
Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.
Answer:
[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Step-by-step explanation:
the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])
=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Answer:
[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]
Step-by-step explanation:
Find intersection of the given lines :
x - 2y = 0 => x = 2y ----------- ( 1 )
3x + y = - 5 -------------------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
3x + y = - 5
3 ( 2y ) + y = - 5
6y + y = - 5
7y = - 5
[tex]y = -\frac{5}{7}[/tex]
Substitute y in ( 1 ) :
x = 2y
[tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]
[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]
To find the equation of the line passing through ( - 3, 2) and point of intersection :
Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.
So step 1 : Find slope , m:
[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]
[tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]
Step 2 : Equation of the line :
[tex](y - y _1) = m (x - x_1)\\[/tex]
[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]
Cherries in cherry pie at Barnett's Bakery. 0-29 30-59 60-89- 90-119 129-149 How many cherry pies have 90 or more cherries?
Answer:
7 cherry pies
Step-by-step explanation:
the cherry pies that have 90 or more cherries =
4 + 3 = 7