Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon).
A. 540
B. 720
C. 1,080
D. 360
Answers
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Answer:
(d) 360°
Step-by-step explanation:
The sum of exterior angles of any convex polygon is 360°.
Related Questions
What is the distance between the following points?
Will give brainliest
Answers
Answer:
√65
Step-by-step explanation:
(-6,4) (-5,-4)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-6)]² + (-4 - 4)²
√(1)² + (-8)²
√1 + 64
√65
Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1
Answers
Answer:
[tex]\displaystyle AL = 2sinh(10)[/tex]
General Formulas and Concepts:
Pre-Calculus
Hyperbolic FunctionsCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Exponential Differentiation
Integration
IntegralsIntegration Constant CDefinite IntegralsParametric Integration
Vector Value Functions
Vector IntegrationArc Length Formula [Vector]: [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >[/tex]
Interval [0, 1]
Step 2: Find Arclength
Rewrite vector value function: [tex]\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k[/tex]Substitute in variables [Arc Length Formula - Vector]: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt[/tex][Integrand] Differentiate [Respective Differentiation Rules]: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt[/tex][Integrand] Simplify: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt[/tex][Integral] Evaluate: [tex]\displaystyle AL = 2sinh(10)[/tex]Topic: AP Calculus BC (Calculus I + II)
Unit: Vector Value Functions
Book: College Calculus 10e
Samuel baked 81 cakes how many more cake does Samuel have to bake to have 123 cakes
Answers
Answer:
42 cakes
Step-by-step explanation:
123 - 81 = 42
.....
Samuel needs to bake 42 more cakes to have a total of 123 cakes.
To find out how many more cakes Samuel needs to bake to have a total of 123 cakes, we subtract the number of cakes he already baked from the desired total.
Total desired cakes: 123
Cakes already baked: 81
To find the remaining cakes, we subtract the number of cakes already baked from the desired total:
123 - 81 = 42
Therefore, Samuel needs to bake 42 more cakes to have a total of 123 cakes.
To know more about cakes , here
https://brainly.com/question/30083703
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Just answer the questions please
Answers
Answer:
1)( y= 0.12 * x ) y(dependent) , x(independent) 2) x=150 : y=18 / x=300 : y=36 / x=450 : y=54 / x=600 : y=72 / x=750 : y=90 / x=900 : y=108 3) 300+750+1050=2100 pound
2100*0.12=252 pound food they need to eat in each day
252*7=1764 pound in each month
(sin 10° + cos 10º)2 - 2 sin 80°cos 80°
Answers
Answer
the simplied form of the given question is 1
factorise: 30x^5+15x²y²+xy
Answers
Answer:
your answer calculated would be: x(30x^4 + 15xy^2 + y)
Step-by-step explanation:
i used math-way it's a really useful online calculator
Dos coches están separados por una distancia de 12000 m salen al encuentro uno del otro, el primero con una aceleración de 5,6 m/s2 el segundo con 10,4 m/s2 , calcula el tiempo y la distancia de encuentro.
Un bus parte del reposo con una aceleración de 3,2 m/s2 y en ese mismo momento a 2 km de distancia, sale otro en sentido opuesto, también partiendo del reposo pero con una aceleración de 6,5 m/s2. Calcular la distancia y el momento de encuentro.
Dos vehículos separados por 1300 m parten al encuentro en el instante t=0. El primero lo hace con una velocidad inicial constante de 15 km/h. El segundo parte desde el reposo y con una aceleración de 1,2 m/s2. ¿A qué distancia de la salida del primer vehículo se encuentran?
Un automóvil se desplaza por una carretera que es paralela a la vía de un metrotren. El automóvil se detiene ante un semáforo que está con luz roja en el mismo instante que pasa un metrotren con una rapidez constante de 14 [m/s]. El automóvil permanece detenido durante 8 s y luego parte con una aceleración constante de 2,5 [m/s2 ]. Determine:
a)El tiempo que emplea el automóvil en alcanzar al metrotren, medido desde el instante en que se detuvo ante el semáforo.
Un micro parte del reposo y acelera a razón de 1,4 m/s2 . En este instante un pasajero que desea abordarlo, se encuentra a 12 [m] por detrás de la puerta y corre con una velocidad constante de 5 m/s.
a) Determinar si el pasajero alcanza o no al micro
Salva mi trimestre
Answers
Answer:
la respuesta es la primera ( a )
Step-by-step explanation:
If £15=$20 and $5=390 find the number of pounds that can be exchanged
200
Answers
Mark as braianlist
15 multiple by 5 equal 75 -390 equal 315 -15equal 200
|x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x
Answers
Answer:
jo pahle wale X hai na na X + x plus 1 unhen Yad Karke answer 1 aaega FIR X + 2 =_= + 3 X + 3 yah answer Aaya 1 or 2 X + ka ok
Step-by-step explanation:
FIR hai x+ x and ++ 2021 x
2021x
FIR + Kannan donon ko x
ans
x - 3 X
x - 4042
yah answer aayega ine donon ka the solve this question ok friend
Answer this question that is given
Answers
Answer:
See explanation
Step-by-step explanation:
2) (10+4) x 2 = 28
3) (13 + 6) x 2 = 38
4) (8+4) x 2 = 24
5) (11+8) x 2 = 38
Answered by Gauthmath
Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben
Answers
Answer:
Ben traveled 93.75% of his usual distance.
Step-by-step explanation:
Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:
80 = 100
75 = X
75 x 100/80 = X
93.75 = X
Therefore, Ben traveled 93.75% of his usual distance.
HURRY PLEASE!!!!!!
Line AB has a slop of 1/2
What would the slope of line CD have to be if we knew CD was perpendicular to AB?
2
-2
1/2
-1/2
Answers
Answer:
-2
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals
Take the slope of AB = 1/2
-1/(1/2)
-1 * 2/1
-2
The slope of a line perpendicular is -2
Point C partitions AB into two parts so that the ratio of the length of AC to the length of CB is 1:5. What are the coordinates of point ?
Select and drag a number to each empty box to correctly complete the coordinates of point
The coordinates of point C are?
Answers
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Answer:
C(-1, -4)
Step-by-step explanation:
We want ...
AC/CB = 1/5
5(C-A) = B-C . . . . multiply by 5CB
6C = B +5A . . . . . add 5A-C
C = (B +5A)/6 . . . divide by 6
C = ((4, 6) +5(-2,-6))/6 = (4-10,6-30)/6 = (-6, -24)/6
C = (-1, -4)
Find the value of the variable y that results in congruent triangles
Answers
Answer:
y = 5
Step-by-step explanation:
[tex]7y-10=25\\7y=35\\y=5[/tex]
The length of the hypotenuse is??
Answers
Answer:
[tex]x = 14.31[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
let the Hypotenuse be x
[tex] {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31[/tex]
Answer: 14.32
Step-by-step explanation:
To find the length of the hypotenuse, we need to use the Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
Since we are given the legs, we can plug them in to find c.
[tex]6^2+13^2=c^2[/tex] [exponent]
[tex]36+169=c^2[/tex] [add]
[tex]205=c^2[/tex] [square root both sides]
[tex]c=\sqrt{205}[/tex]
[tex]c=14.32[/tex]
The hypotenuse is approximately 14.32.
For an ordered pair left parenthesis x comma y right parenthesis in a relation, the x element represents the
Answers
Answer:
the x éléments représente the domain
x represents the value on the x-axis and the coordinate is also known as abscissa.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
For an ordered pair left parenthesis x comma y right parenthesis in a relation that is (x, y).
Here x represents the value on the x-axis and the coordinate is also known as abscissa.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
Which of the following are parallel to the line 2x+ 4y=16
Answers
So… y=-1/2x+4
Parallel lines share the same slope so whichever option has a slope of -1/2 is parallel
help me please. who ever answers gets brainliest
Answers
Answer:
32
Step-by-step explanation:
(4x6)/2+(2x2)/2+2x2+(2x6)/2
Solve for x
6x + 11= - (6x + 5)
Answers
Answer:
x = -4/3
Step-by-step explanation:
6x + 11 = -6x - 5
12x = -16
x = -4/3
Answer:
x = -4/3
Step-by-step explanation:
6x + 11= - (6x + 5)
Distribute the minus sign
6x+11 = -6x-5
Add 6x to each side
6x+11 +6x = -6x-5+6x
12x+11 = -5
Subtract 11 from each side
12x+11-11 = -5-11
12x = -16
Divide by 12
12x/12 = -16/12
x = -4/3
The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .
I Will Mark Brainliest
Answers
Answer:
21
Step-by-step explanation:
All three sides are equal
2x-7 = x+y-9 = y+5
Using the last two
x+y-9 = y+5
Subtract y from each side
x+y-9-y = y+5-y
x-9 = 5
Add 9 to each side
x -9+9 = 5+9
x=14
We know the side length is
2x-7
2(14) -7
28-7
21
The side length is 21
Please help me solve for this don't report I did NOT ignore the Honor rule
Answers
Answer:
x = 25
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
150 = 4x+50
Subtract 50 from each side
150-50 = 4x+50-50
100 = 4x
Divide by 4
100/4 = 4x/4
25 = x
Express the equation 5(x-8)^2=y-12 in the form y=a(x-h)+k, then identify a,h, and k.
Answers
9514 1404 393
Answer:
y = 5(x -8)^2 +12a=5h=8k=12Step-by-step explanation:
5(x-8)^2=y-12 . . . . given
y = 5(x -8)^2 +12 . . . . add 12
Comparing to the required form, we see that ...
a = 5h = 8k = 12I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answers
Answer:
Both are true
Step-by-step explanation:
Both are true
How many ways can four marbles be chosen from a set of five marbles?
Answers
Answer:
120
Step-by-step explanation:
5x4x3x2x1=120
Surface Area of cones
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
Answers
9514 1404 393
Answer:
64.1 ft²
Step-by-step explanation:
The area of the cone is given by ...
A = πr(r +h) . . . . for radius r and slant height h
A = π(2 ft)(2 ft +8.2 ft) ≈ 64.1 ft²
What is the area of the trapezoid?
Answers
Answer:
A=a+b
2
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
The product of two positive integer numbers is 70 and the sum of the same two numbers is 17. Find the
numbers.
Answers
Answer:
7 and 10
Step-by-step explanation:
7 * 10 = 70
7 + 10 = 17
Answer:
10 and 7
Step-by-step explanation:
call them a and b, respectively
so a*b=70 -> b=70/a
a+b=17 ->a+70/a=17 ->a=10 b =7
In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 13m
c. 7m
d. 13.928m
Please show work to help me understand.
Answers
since the two triangles are congruent..
AB=ED
AC=FD(side opposite to the right angle)
FD=AC
•°•FD=13m
What are the measures of Angles a,b, and c? show your work and explain your answers.
Answers
Answer:
a=35
b=55
c=110
Step-by-step explanation:
a=35
Opposite angles which are non-adjacent angles formed by two intersecting lines are equal
b+35+90=180 sum of interior angle of a triangle equal to 180
b=180-125
=55
c+70=180 Angles on a straight line add up to 180°
c=180-70
=110
The following sample of weights was taken from 8 cookies off the assembly line. Construct the 95% confidence interval for the population variance for all cookies that come off the assembly line. Round your answers to two decimal places.
9.6,10.2,10.3,9.2,9.5,10.1,9.2,9.4
Answers
Answer:
what are you asking
Step-by-step explanation:
