Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.
The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees
How to calculate the sum of the interior angle of a regular polygon?The formula which is used to calculate the sum of the angle of regular polygon is given by
sum of the interior angles = ( n - 2 ) × 180 degrees
Where,
n is the number of sides
According to the given question.
We have a regular polygon with 23 sides.
⇒ n = 23
Therefore,
The sum of the interior angles of the given regular polygon
= (23-2) × 180
= 3,780 degrees
So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]
Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.
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Tommy is putting a wooden frame around his living room stained glass window shown below. Before he can build the frame,
he needs to find the perimeter of the window.
7 feet
4 feet
If the rectangular window is 7 feet long by 4 feet wide, what is the perimeter of the window?
OA.
14 feet
ОВ.
28 feet
OC.
11 feet
OD
22 feet
The perimeter of window is 28 feet
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?
Answer:
Volume of soda in soda can = 43.1 inches³ (Approx.)
Step-by-step explanation:
Given:
Height of soda can = 7 inches
Diameter of soda can = 2.8 inches
Find:
Volume of soda in soda can
Computation:
Radius of soda can = Diameter of soda can / 2
Radius of soda can = 2.8 / 2
Radius of soda can = 1.4 inches
Volume of soda in soda can = Volume of cylinder
Volume of soda in soda can = πr²h
Volume of soda in soda can = (3.14)(1.4)²(7)
Volume of soda in soda can = (3.14)(1.96)(7)
Volume of soda in soda can = 43.1 inches³ (Approx.)
Find the area of each triangle
8 yd
8 yd
Answer:
Area of triangles 1 = 18 ft²
Area of triangles 2 = 16 in²
Area of triangles 3 = 90 yd²
Step-by-step explanation:
Given:
1] Height of triangle = 4 ft
Base of triangle = 9 ft
2] Height of triangle = 4 in
Base of triangle = 8 in
3] Height of triangle = 12 yd
Base of triangle = 15 yd
Find:
Area of triangles
Computation:
Area of triangles = (1/2)(Base)(Height)
Area of triangles 1 = (1/2)(4)(9)
Area of triangles 1 = 18 ft²
Area of triangles 2 = (1/2)(4)(8)
Area of triangles 2 = 16 in²
Area of triangles 3 = (1/2)(12)(15)
Area of triangles 3 = 90 yd²
Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12
Answer:
The first option is correct
Step-by-step explanation:
Hope it is helpful....
what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.
Answer:
Rs. 18080
Step-by-step explanation:
Given :
Marked price = Rs. 20000
Discount = 20%
Discounted price = (100-20)% * marked price
Discounted price = 80% * 20,000 = Rs. 16,000
The VAT = 13%
VAT charge = 13% * 16,000 = Rs. 2080
Final price = discounted price + VAT charge
Final price = 16000 + 2080 = Rs. 18080
Find the LCM of the polynomials.
x² - x - 42
x2 + x - 56
Answer:
x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)
Step-by-step explanation:
Factor each equation.
x^2-x-42= (x-7)(x+6)
x^2+x-56= (x-7)(x+8)
The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.
(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.
Find the slope and the y-intercerpt f(x) = 8 -7/8x
Answer:
slope = -7/8
y-intercept = 8
Step-by-step explanation:
slope intercept form is
y = mx + b
m is slope
b is y-intercept
------------------------
f(x) = 8 - 7/8x
Rearrange into slope intercept form
f(x) = -7/8x + 8
slope = -7/8
y-intercept = 8
Answer:
Slope = -7/8
Y-intercept = 8
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
f(x) = 8-7/8x
Given the above, rearrange it in slope-intercept form to help us find the slope and y-intercept:
f(x) = -7/8x+8
Now, we can see clearly that -7/8 is in place of m and 8 is in place of b. This means that -7/8 is the slope of the line and 8 is the y-intercept.
I hope this helps!
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice the y y -coordinate of P P . What is the equation of the curve
Answer:
The equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
[tex]f(x) = A*e^{k*x}[/tex]
Replacing that in the second equation, we get:
[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]
From that equation, we can conclude that k = 2
Then:
[tex]f(x) = A*e^{2*x}[/tex]
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]
Then we can conclude that the equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4
Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method. Cost Shipping Charges Setup Charge Total Cost Salvage Value Estimated Useful Life (years) Depreciation Total Annual
1. $5,600 $210 $54 ______ $600 6
2. $16,900 $310 0 ______ $1900 4
Answer:
a. For Asset 1, we have:
Total cost = $5,864
Total depreciation = $5,264
Annual depreciation = $877.33
b. For Asset 2, we have:
Total cost = $17,210
Total depreciation = $15,310
Annual depreciation = $3,827.50
Step-by-step explanation:
Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf for the complete question with the sorted data.
Also note: See the attached excel file for the presentation of the data in the question with the answers (in bold red color).
The explanation of the answers is now given as follow:
Straight line method is a method of calculating depreciation and amortization of an asset by dividing the difference between the total cost and salvage value of an asset by its estimated useful life.
Therefore, wee have:
a. For Asset 1, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $5,600 + $210 + $54 = $5,864
Total depreciation = Total cost - Salvage Value = $5,864.00 = $600 = $5,264
Annual depreciation = Total depreciation / Estimated Useful Life = $5,264 / 6 = $877.33
b. For Asset 2, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $16,900 + $310 + $0 = $17,210
Total depreciation = Total cost - Salvage Value = $17,210 - $1,900 = $15,310
Annual depreciation = Total depreciation / Estimated Useful Life = $15,310 / 4 = $3,827.50
What is m∠CDE? pls help
Answer:
68
Step-by-step explanation:
∠ACB = ∠DCE
= 180-92/2
=44
∠CDE = 180 - 44 / 2
68
PLEASE HELP!! WILL GIVE BRAINLEIST FOR AN ACTUAL Answer
72/360 = x/10pi
1/5 = x/10pi
x = 2pi
6.3 cm
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
Robin saved money during the months of July and August can some one help me
Step-by-step explanation:
(340*20)-3
HOPE IT HEPL U
The following data represent weights (pounds) of a random sample of professional football players on the following teams. san francisco 49ers and green bay packers
X1 = weights of players for the Dallas Cowboys
X2 = weights of players for the Green Bay Packers
X3 = weights of players for the Denver Broncos
X4 = weights of players for the Miami Dolphins
X5 = weights of players for the San Francisco Forty Niners
You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different?
Answer:
The answer is "272.02 ".
Step-by-step explanation:
Please find the complete solution in the attached file.
Find the value of x.
Answer:
Hello! answer: 84
Step-by-step explanation:
This is 360 degrees therefore 84 is the answer
84 + 84 + 96 + 96 = 360 degrees
I’m so horrible at math, please help
P - Parenthesis ( )
E - Exponents ²
M - Multiplication ×
D - Division ÷
A - Addition +
S - Subtraction -
Question : 21 ÷ (14 - 11) + 2⁴
1st step : Subtract the two numbers inside the Parenthesis
⇒ 21 ÷ 3 + 2⁴
2nd step : Calculate the value of 2⁴ which is related to Exponents
⇒ 21 ÷ 3 + 16
3rd step : Perform Division
⇒ 7 + 16
4th step : Perform Addition
⇒ 23
Answer: 23
Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.
9514 1404 393
Answer:
(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
For radius 3 and center (3, 5), this is ...
(x -3)^2 +(y -5)^2 = 9 . . . . standard form equation
Expanding this and subtracting the constant on the right gives ...
x^2 -6x +9 +y^2 -10y +25 -9 = 0
x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation
you spin the spinner once
What is P(5)?
0-10
A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.
The probability of getting 5 on spinner is 0.25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, on the spinner there are four numbers {3, 4, 5, 6}.
Number of favorable outcomes = 1
Total number of outcomes = 4
So, P(5) = 1/4
= 0.25
Therefore, the probability of getting 5 on spinner is 0.25.
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When evaluated, which expression has a result that is a rational number?
Answer:
√144 * 0.25 is rational!
Step-by-step explanation:
PLEASE HELP!!!
The number of adults who have seen a new family play at the local theater, measured in hundreds of people, is represented by the
function a (w) = -0.4w2 + 3w + 8, where w is the number of weeks since the play opened.
The number of children who have seen the same play, measured in hundreds of people, is represented by the function
c (w) = -0.3w2 + 2w + 13, where w is the number of weeks since the play opened.
What function, d (w). can be used to determine how many more children than adults have seen the play in any week?
d (w) = -0.1w2 + 5W + 21
d (w) = 0.1w2 – w+ 5
d (w) = -0.1w2 – w + 5
Od (w) = 0.1w2 + 5W + 5
Answer:
d (w) = 0.1w² – w+ 5
Step-by-step explanation:
d(w) = c(w) - a(w)
= -0.3w²+2w+13 -(-0.4w²+3w+8)
= -0.3w²+0.4w²+2w-3w+13-8
= 0.1w²-w+5
Answer:
d (w) = 0.1w2 – w+ 5
Step-by-step explanation:
I took the test
PROBLEM IS ABOVE PLEASE HELP
Answer:
A
Step-by-step explanation:
slant height of the exagon = side/2 * √3 = 2.5√3 cm
area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2
Volume of the prism = area of the hexagon * height = 974,278579 cm^3
Volume of the cylinder = radius^2 * pi * height = 36 * pi * 15 = 1.696,460033 cm^3
volume of the kaleidoscope = 722,181454 cm^3
How would I figure this out?
Answer:
IGJ=90-38
=52
answer is option c
Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 26 questions.
Answer:
2^26
Step-by-step explanation:
For a true - false examination ; number of options or possible outcomes = 2
Number of questions = 26
Using the counting principle ; the number of elements in the sample space ;
(2 * 2 * 2 *... * 2) for the entire 26 questions
This is equivalent to : 2^26
2^26 = 67108864
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
answer is option B since they are in GM
Answer:
[tex]\text{b. }786,432[/tex]
Step-by-step explanation:
The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].
What we know:
[tex]a_1[/tex] is 3 [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)Substituting given values, we get:
[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]
Which pair of angles are vertical angles?
A)
B)
C)
D)
Answer:
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal.
here,vertically opposite angles are
angle RQW and angle TQU
angle RQV ang angle SQU
angle SQR and angle UQV
angle WQV and angle SQT
the equation of a straight line is 2y+6x=-8.find the gradient of the line
Step-by-step explanation:
Y= mx + c
2y = 3x - 8
2y = -3× - 8 ( divide all yerms by two )
y = -3 × 4
2
y = -3
2
How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.
Answer:
I would say more than 4 billion...
Step-by-step explanation:
What is the length of AB?
Answer:
B. 6
Step-by-step explanation:
We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.
Triangle GCH is similar to triangle DCE. Find CH
Answer:
x = 65
Step-by-step explanation:
if two triangles are similar then we can use the similarity ratio to find the length of CH
60/156 = x/169 cross multiply expressions
156x = 10140 divide both sides by 156
x = 65