Answers
Given Information :-
⠀
A polygon with 10 sides ( Decagon )⠀
To Find :-
⠀
The value of one of the exterior angles⠀
Formula Used :-
⠀
[tex] \qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star[/tex]
⠀
Solution :-
⠀
Putting the given values, we get,
⠀
[tex]\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\ [/tex]
Thus, the value of the exterior angles of a Decagon is 36°.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Answer:
36° .⠀
Explanation :
⠀
For a regular polygon of n sides, we have
[tex]{ \longrightarrow \qquad \pmb{ \it{Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)^{ \circ} }}}}[/tex]
⠀
Here, We are to find the measure of each exterior angle of a regular decagon.
⠀
So, we know a regular decagon has 10 sides, so n = 10 .⠀
Now, substituting the value :
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]
⠀
[tex]{\pmb{ \frak{ \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }}}[/tex]
⠀
Therefore,
The measure of each exterior angle of a regular decagon is 36° .Related Questions
Part A Find the distances between points P and Q and between points R and Q. Explain your answer. Refer to the number line in your interpretation. * *
Answers
The points P, Q and R are collinear points on the number line
The distance PQ is 0.6The distance QR is 0.3How to determine the distance between P and Q?From the number line we have:
P = -0.6
Q = 0
The distance is calculated as:
PQ = Q - P
This gives
PQ = 0 - -0.6
Evaluate the difference
PQ = 0.6
Hence, the distance PQ is 0.6
How to determine the distance between R and Q?From the number line we have:
R = 0.3
Q = 0
The distance is calculated as:
QR = R - Q
This gives
QR = 0.3 - 0
Evaluate the difference
QR = 0.3
Hence, the distance QR is 0.3
Read more about number lines at:
https://brainly.com/question/10851163
Answer:
The distance PQ is 0.6
The distance QR is 0.3
At the buffet luncheon guests could choose one meat, one side and one salad. If there were 3 different meats, 7 sides and 4 salads, how many possible combinations would there be?
Answers
Answer:
i believe that its 84
Step-by-step explanation:
An electronics store has determined that 45% of its customers buy a wide-screen television. describe the model that you could use to find the experimental probability that the next three television-buying customers will buy a wide-screen television
Answers
The model that you could use to find the probability is a binomial model with parameters n = 3, X = 3 and p = 0.45.
For each TV bought, there are only two possible outcomes, either it is wide screen, or it is not. The probability of a TV bought being wide screen is independent of any other TV, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
In this problem:
45% of its customers buy a wide-screen television, hence p = 0.45.The experimental probability that the next three television-buying customers will buy a wide-screen television is P(X = 3) when n = 3.More can be learned about the binomial distribution at https://brainly.com/question/24863377
3800 millimetres expressed in metres is
Answers
Answer:
3.8 meters
Step-by-step explanation:
1000 mm=1m
3000mm = 3m
500mm=.5
100mm= .1
800mm=.8m
3800mm=3.8
Check all fractions equivalent to 3⁄9?
Answers
Answer:
I don't see the problem, Where is the image?
\frac{x^2+9x+14}{x^2+10x+16}
x
2
+10x+16
x
2
+9x+14
Answers
Answer:
(x+7)(x+2)
(x+2)(x+8)
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIST
Find the mean for the following fractions
d
d + 1
d +5
4
12
24
Answers
Answer:
d+d+1+d+5+4+12+24/6
Step-by-step explanation:
add the numbers and divide them by 6
Answer:
3d + 432
Step-by-step explanation:
= d ÷ 4 + d + 1 ÷ 12 + d + 5 ÷ 24
= d + d + d + 1 + 5 ÷ 4 ÷ 12 ÷ 24
= 3d + 6 ÷ 0.013888.....
= 3d + 432
Please mark BRAINLIEST
Pls help! This is my question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?
Answers
So,
1000/48
What do we know:
the dimensions ⇒ can help us find the volume, area, surface areamassWhat do we want to find ⇒ Density
To solve that,
⇒ must find the relationship between density, mass, and volume
Definition of density: mass per unit volume⇒ Density = mass / volume
Now let's convert some units to make it into a standard answer:
mass = 100g ⇒ 0.1 kg (1000g = 1kg)volume = 2 * 4 * 6 = 48 cubic centimeters = 0.000048 cubic meter(1 cubic meter = 1000000 cubic centimeter)
⇒ Density = 0.1 / 0.000048 = 2,083.33 kilograms per cubic meter
Hope that helps!
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band
Answers
Answer:
whats rhe question itdoesntsay
please help :) thank u
Answers
Answer:
Already answered
Step-by-step explanation:
go to this
https://brainly.com/question/11412750
There is an answer by a tutor there better than me telling you
The measure of angle 'y' which is a corresponding angle is 62°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the midsegment of a triangle is parallel to one side of a triangle.
And parallel lines form similar corresponding angles.
Therefore, From the given figure the midsegment 'z' forms similar corresponding angles to x and y which are, 31° and 62°.
learn more about midsegments of triangles here :
https://brainly.com/question/29301123
#SPJ7
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answers
Answer:
its 10.5
Step-by-step explanation:
If you divide what alex earned by his total sales, you get 10.5%.
Find the equation of the line.
Use exact numbers.
Answers
Answer:
y=0.5x-6
Step-by-step explanation:
check out the attached photo
Answer:
y=0.5x-6
Step-by-step explanation:
What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2
Answers
Answer:
[tex]equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0[/tex]
Can someone help me with this??
Answers
Answer:
36
Step-by-step explanation:
10+8+6+6+6
Area of the top rectange is 10 (2x5)
Area of the bottom rectange is 8 (2x4)
Area of the right rectangle is 6 (2x3)
Area of both the triangles are 6 (4x3 divided by 2)
Solve the triangle. Round to the nearest tenth.
Answers
answer:
213.176 units^2
explanation:
1) find the height
10.8^2+h^2=22.5^2
h^2=389.61
h=19.7
2) use formula to find area
A=1/2bh
A=1/2(21.6)(19.7)
A=213.176
--
if this helped, please consider giving brainliest !
How do i Write (3x^3)^2 WITHOUT exponents
Answers
Answer:
(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x
Thus, The answer is
3 × 3 × x × x × x × x × x × x
Answer:
3 * 3 * y * y * y * y * y * y
Step-by-step explanation:
(3y³)²
Multiply 3 by 3 and y six times
3 * 3 = 9
y * y * y * y * y * y
The answer should be
3 * 3 * y * y * y * y * y * y
I hope this helps!
Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:
(0.5, 0.75) and (1, 1)
(–2, 7) and (0, 1)
(0, 1) and (0.5, 0.75)
(–2, 7) and (1, 1)
Answers
The solutions of the equations are the point of intersection of the equations
The solutions are located at points (-2,7) and (1,1)
How to determine the solutions?The equations are given as:
y = –2x + 3 and y = x2 – x + 1
Next, we plot the graph of both equations
From the graph of the equations (see attachment), we have the solution to be:
(x,y) = (-2,7) and (1,1)
Hence, the solutions are located at points (-2,7) and (1,1)
Read more about system of equations at:
https://brainly.com/question/14323743
Answer:
D.
(–2, 7) and (1, 1)
Step-by-step explanation:
I took the algebra exam
Help asap due in an hour
Answers
Answer:
7. x-2y=-4
-x-y=-5
x-2x=-4
2x+2y=10
Step-by-step explanation:
sorry cant do the rest im sleeping now but use symbolab just add the equations there and easy good night
I need this ASAP!!!!!
Answers
Answer:
7/5 y intercept 1
Step-by-step explanation
Answer:
B: slope 5/7 Y-intercept is 1
Step-by-step explanation:
To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.
The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.
the Y intercept is 1 because on the vertical line the line passes through 0,1.
Can someone please help me solve this? or at least explain how I would go about solving this?
Answers
Answer:
find the probaillity of each one.
Step-by-step explanation:
i do not know this answer
Answers
Answer:
9 millimeters is the answer.
is this right?????? or not if it's not what's the correct answer (mark brainiest)
Answers
Answer:
Yes.
Step-by-step explanation:
You always do the operations in parenthese first.
"The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)." -khanacademy . org > ...> order of operations
Answer:
B. (20 ÷ 4 - 2 + 1)
Solved, the equation equals 29.
Step-by-step explanation:
Order of operations: PEMDAS
Parantheses
Exponents
Multiplication
Division
Addition
Subtraction
9 + 5 × 2(20 ÷ 4 - 2 + 1)
The first step would be to do the operations inside the parantheses.
9 + 5 × 2(20 ÷ 4 - 2 + 1)
So,
(20 ÷ 4 - 2 + 1)
There are several operations, so lets look at PEMDAS again..
Okay, so we dont have any exponents, or multiplication inside the parantheses, so next step is divide.
(20 ÷ 4 - 2 + 1)
20 ÷ 4 = 5
So, we replace '20 ÷ 4' with '5'
(5 - 2 + 1)
Next, we add.
(5 - 2 + 1)
2 + 1 = 3
Now, replace '2 + 1' with '3'
(5 - 3)
Now, we just subtract 3 from 5.
5 - 3 = 2
So now our equation looks like this:
9 + 5 × 2(2)
Now, we have to do the parantheses again. But this time we are going to treat the parantheses as a multiplication symbol:
9 + 5 × 2(2) → 2 × 2 = 4
↓
9 + 5 × 4
Now, we have to multiply.
9 + 5 × 4 → 20
↓
9 + 20 = 29
So, when you solve the equation, you get 29.
AN
O A. SAS
DB. HL
O C. LL
O D. ASA
O E. LA
F. AAS
SUBMIT
Answers
Answer:
Its SAS( side angle side) axiom.
Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.
I'm going to keep asking because I have no clue how to solve these
Answers
Answer:
219.8 yd
Step-by-step explanation:
Circumference Formula= πd or 2πr
Plug in the values. The diameter of this circle is 70 yds.
70(3.14) (replace 3.14 for π)
70*3.14=219.8 yds
Hope this helps ^^
The problem is the screenshot
Answers
Answer: 0 5 10
Step-by-step explanation:
y = 5(0)
y = 0
y = 5(1)
y = 5
y = 5(2)
y = 10
A trapezoid has an area of 151.2 square centimeters. One base is 8.8 cm long. The height measures 10.5 cm. What is the length of the other base?
Answers
Answer:
x=20
Step-by-step explanation:
(1/2)*10.5*(8.8+x)=151.2
8.8+x=151.2*2/10.5
8.8+x=28.8
x=28.8-8.8
x=20
Answer: 20 cm
Step-by-step explanation:
area of trapeziod = ( (base + base) / 2) x height
151.2 = ( (8.8 + base) / 2 ) x 10.5
14.4 = ( (8.8 + base) / 2)
14.4 x 2 = 8.8 + base
28.8 - 8.8 = base
base = 20 cm
Which sign completes each expression?
0.3
>
0.25
0.35
0.4
0.05
0.1
Answers
Answer:
Below
Step-by-step explanation:
0.3>0.25
0.35<0.4
0.05<0.1
Maddy has a coupon for bananas. Bananas normally
cost $0.49 per pound. Maddy wants to buy 8
pounds of bananas for her team. She has a coupon
for 5 cents off per pound.
If she uses the coupon, how much will she pay?
Answers
Answer:
$3.52
There are two ways you can solve this problem.
1. Take 5 cents off before multiplying.
Since the coupon takes 5 cents off per pound, you can subtract 5 cents off 49 cents.
$0.49-$0.05= $0.44
Now multiply $0.44 by the 8 pounds.
$0.44 (8) = $3.52
2. Take the 5 cents off after multiplying
You can multiply the 5 cents by 8, to find the total money off the bananas. Then subtract that from the total cost.
$0.49 (8) = $3.92 -> Total cost with no coupon
$0.05 (8) = $0.40 -> Total money off
Subtract the two totals.
$3.92 - $0.40 = $3.52
Answer:
I believe the answer is 3.42.
lat a = the length of a car in meters. Let b = the length of the same car in centimeters. which number is greater, a or b? Answer for 100 points.
Answers
Answer:
B
Step-by-step explanation:
Centimeters are 100 times bigger than meters, so if you had 1 meter, it would be 100 centimeters. Therefore, centimeters are greater than meters.
Find the measure of the angles.
3
62
mZ1 =
mZ2 =
Answers
Answer:
Step-by-step explanation:
