Answers
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:
sum = ( n - 2 ) * 180° where 'n' is the number of sides.
When 'n = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:
Interior Angle = sum° / n where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
Related Questions
A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 11 2/3 yards and a double window requires 15 5/6
yards of fabric. If there are two single windows and one double window, how much fabric is required?
Answers
Answer:
[tex]2S + D = 34\frac{1}{6}\ yd[/tex]
Step-by-step explanation:
Represent single windows with S and double with D.
So, we have:
[tex]S = 11\frac{2}{3}\ yd[/tex]
[tex]D = 15\frac{5}{6}\ yd[/tex]
Required
Determine the amount of fabric for 2 singles and 1 double
The above statement implies:
[tex]2S + D[/tex]
Substitute values for S and D
[tex]2S + D = 2 * 11\frac{2}{3}\ yd + 15\frac{5}{6}\ yd[/tex]
Convert fractions
[tex]2S + D = 2 * \frac{35}{3}\ yd + \frac{65}{6}\ yd[/tex]
[tex]2S + D = \frac{70}{3}\ yd + \frac{65}{6}\ yd[/tex]
Tale LCM
[tex]2S + D = \frac{140+65}{6}\ yd[/tex]
[tex]2S + D = \frac{205}{6}\ yd[/tex]
[tex]2S + D = 34\frac{1}{6}\ yd[/tex]
Hence, [tex]34\frac{1}{6}\ yd[/tex] is needed
Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.
Answers
Answer: 87.92cm
Step-by-step explanation:
The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.
3.14x28 = 87.92
The circumference of the circle is 87.92 cm
answer quick will give 20 points
Answers
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
The formula shown can be used to find A the amount of money Raul has in his saving account Raul wants to find r the rate of interest his money earns which equation is correctly solved for r
Answers
Answer: r= A-P/ Pt
Step-by-step explanation: ur welcome
The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.
Here,
The formula shown can be used to find A the amount of money Raul has in his saving account.
Raul wants to find r the rate of interest his money earns.
We have to find the equation is correctly solved for r.
What is Rate of interest?
The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Now,
The formula which shown to find A is;
A = P + Prt
Hence, equation is correctly solved for r is;
[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]
So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.
Learn more about the rate of interest visit:
https://brainly.com/question/25793394
#SPJ2
14 POINTS! PLEASE HELP!!!!
Answers
Answer:
Do (8, -9) times 5 for both numbers
Step-by-step explanation:
Question 5
Evaluate:
Five cubed.
Write the numerical answer only.
Answers
Answer:
125
Step-by-step explanation:
..................
Answer:
pretty sure it's 125
Step-by-step explanation:
hope this helps!
PLS HELP I WILL GIVE BRAINLEST
1. Patrick is saving money to buy a video game that costs $68.
Part A. Patrick receives $6 every week for doing chores at home. Patrick spends $2.00 every week and saves the rest.
How many full weeks will it take Patrick to save enough money to purchase the video game? Show your work and justify your answer.
Part B. Patrick can earn extra money by cutting grass. His neighbors will pay him $4.00 for each lawn that takes him 30 minutes. What is the amount of time, in extra HOURS, that Patrick would have to spend cutting grass to be able to buy a second $68 video game for his friend? Show your work to justify your answer.
Answers
Answer:
part A: 17 weeks sorry if its wrong
part b: 120 hours sorry if its wrong
Step-by-step explanation:
Math
if cos x = 2 sin x, so the value of sin x cos x is ...
Answers
Answer:
1/2
Step-by-step explanation:
As cosx= 2sinx,
now,
so, sinxcosx = sinx(2sinx) = 2 sin²x
Again,
2sin²x =1
sin²x= 1/2
sinx = 1/ root 2
sinx = sin 30
x = 30
Find the measure if two complementary angles if the measure of the larger angle is 10 more than the measure of the smaller angle.
Answers
Answer: 50° and 40°
Step-by-step explanation:
Complementary angles add up to 90°
Smaller angle - x
Larger angle - 10 + x
10 + x + x = 90
10 + 2x = 90
Subtract 10 from both sides
2x = 80
Divide both sides by 2
x = 40
Larger angle - 10 + x
10 + 40 = 50
The measure of the smaller angle is 40° and the measure of the larger angle is 50°
Hope I helped!
PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6
Answers
Answer:
ima say 200 but I'm not 110 percent sure
What is the simplest form of 4/3
Answers
Answer:
43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).
Farid bought x rulers for RM3.90 each and y pieces of sticker for
RM1.80 each with the price RM33.90. If the total of rulers and
stickers that he bought is 13, find the value of x and y.
Answers
Answer:
y+mx+b
Step-by-step explanation:
You have 8 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make?
Answers
Answer:
6 servings
Step-by-step explanation:
1,25x6=7.5
The number of servings can you make deep-fried chicken will be 6.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
You have 8 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
Let x be the number of the deep-fried chicken.
Then the inequality will be
1.25x ≤ 8
On solving, we have
x ≤ 6.4
Then the number of servings can you make deep-fried chicken will be 6.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
what is the value of x in √x^3-1
Answers
9514 1404 393
Answer:
x ≥ 1
Step-by-step explanation:
The argument of the square root cannot be negative, so the expression is only defined for ...
x³ -1 ≥ 0
x³ ≥ 1 . . . . . add 1
x ≥ ∛1 . . . . cube root
x ≥ 1 . . . . the domain of the expression
_____
As you can see, the graph only exists for x ≥ 1.
if 14 inches on a map represent a distance of 74 miles,what distance does 8 inches represents?
Answers
Answer:
42 M
Step-by-step explanation:
14 =74
8/14 = ?/74
8/14= 0.57
So,
0.57*74 = 42
Answer:
x=42
Step-by-step explanation:
Please see the picture attached. I hope this helps!
And this one please
Answers
Which line has a slope equal to 1?
Answers
Hope I helped
Answer:
Algebra and geometry...
Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....
Step-by-step explanation:
hope the answer was helpful ......
What is the first step to solving this?
[tex]\sqrt{x-4}=7[/tex]
Answers
Answer:
First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²
Step by step:
x-4=7²
(because we changed side square root becomes exponent ²)
x=49+4
x=53
Algebra 2 Please Help
Answers
Answer:
daaaaaaaaaa
Step-by-step explanation:
ssdddsss
please send answers
Answers
Answer:
multiple 10.5x10.5 and then 7x7 and then add both answer s
Step-by-step explanation:
Answer is explained above
WILL GIVE BRAINLY Which one of the following angles are supplementary to ZDOE in the figure given below?
Answers
Answer:
AOE
Step-by-step explanation:
A supplementary angle equals 180 which is also a straight line.
The graph shows the reciprocal parent function.
Which statement is true?
A. The function has no intercepts.
B. (1,1) is the x- and y-intercept of the function.
C. (0,0) is the x- and y-intercept of the function.
D. (0,1) is the x- and y-intercept of the function.
Answers
Answer:
A
Step-by-step explanation:
The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
A. How many different lunches are possible.
B. What is the probability that the lunch special of the day is ham on rye with tea?
Please Help With Both Answers - I Will Give BRAINLIEST, and 50 points.
Answers
Total combinations are found by multiplying the quantities of each part by each other.
3 kinds of meat x 2 types of bread x 3 types of drinks
A) total combinations = 3 x 2 x 3 = 18
B) there are 18 different combinations, ham in rye with tea is 1 combination.
The probability would be 1/18
When Diego's phone is fully charged, it will last 15 hours. How much time does he
have left when there is 30% charge remaining?
Line
Answers
Answer:
help
Step-by-step explanation:
Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25
Answers
Answer:
1) Yes
2) No, this polynomial has complex roots
3) No, this polynomial has irrational roots
Step-by-step explanation:
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
What is Function?
A relation between a set of inputs having one output each is called a function.
Functions are given as;
f (x) = 4x² - 25
g (x) = 4x² + 25
h (x) = 3x² - 25
Now,
a. f (x) = 4x² - 25
To find the roots we can set up 0,
f (x) = 4x² - 25 = 0
4x² - 25 = 0
4x² = 25
Divide by 4,
x² = 25/4
Take square root both side,
x = √25/4
x = ±5/2
Thus, The function has rational roots.
So, Rational roots theorem provide a complete list of all roots.
b) g (x) = 4x² + 25
To find the roots we can set up 0,
4x² + 25 = 0
4x² = - 25
Divide by 4,
x² = - 25/4
Taking square root,
x = √-25/4
x = ±5i/2
Thus, The function has complex roots.
So, Rational roots theorem does not provide a complete list of all roots.
c) h (x) = 3x² - 25
To find the roots we can set up 0,
3x² - 25 = 0
3x² = 25
Divide by 3,
x² = 25/3
x² = 8.333
Take square root both sides,
x = √8.333
x = ±2.89
Thus, The function has irrational roots.
So, Rational roots theorem does not provide a complete list of all roots.
Therefore,
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
Learn more about the rational root theorem visit:
https://brainly.com/question/25216212
#SPJ5
Write an equation in slope-intercept form:
y-5= 3(x-4
Answers
Answer:
Y = 3x -7 is your answer hope I helped
Step-by-step explanation:
The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?
Answers
Answer:
The total number of employees is 377.
Step-by-step explanation:
1. You divide total number of women (232) by the ratio of women. (8)
232/8 =29
2. You take 29 and multiply it by the amount of men in the ratio. (5)
29*5=145
3. Finally you just add the total amount of men (145) and the total amount of women. (232)
232+145=377
I hope this helps!
I tried to explain to the best of my ability.
Answer: 377 employees
Step-by-step explanation:
The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.
[tex]\frac{5}{8}= \frac{x}{232}[/tex] After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.
Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company
A group of students made tacos for their class lunch. The number of tacos each student made is shown in the table.
Student Number of Tacos
Jackie 6
Manny
6
Vinny 2
Paula 8
Marta 4
Evelyn 2
Which answer choices describe the ratio 6 : 4?
Select all that apply.
the ratio of the number of tacos Jackie made to the number of tacos Marta made
the ratio of the number of tacos Manny made to the number of tacos Evelyn and Vinny made
the ratio of the number of tacos Paula made to the number of tacos Jackie and Manny made
the ratio of the number of tacos Marta made to the number of tacos Manny made
the ratio of the number of tacos Manny made to the number of tacos Marta made
the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Answers
Answer:
-the ratio of the number of tacos Jackie made to the number of tacos Marta made
-the ratio of the number of tacos Marta made to the number of tacos Manny made
-the ratio of the number of tacos Manny made to the number of tacos Marta made
-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made
Step-by-step explanation:
There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!
Explain Mistake and Find Correct Answer
Answers
angles opposite each other are equal as opposed to add up to 180
so
5x = 100
x = 20
The city of Port Angeles wants to estimate the percentage of likely voters within its city limits who favor a tax increase to build a new community center. A researcher for the city collects responses from 400 likely voters within the city limits. Match each description with a concept (individual, variable, population, sample, parameter, or statistic).
Description f. A likely voter within the city limits.
The set of responses of all likely voters within the city limits.
The percentage of all likely voters within the city limits favoring the tax increase.
The percentage of the 400 likely voters within the city limits favoring the tax increase.
The response of a likely voter within the city limits.
The set of responses of the 400 likely voters within the city limits.
Concept
a. individual
b. parameter
c. population
d. sample
e. variable
f. statistic
Answers
Answer:
a. individual - A likely voter within the city limits
b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.
c. population - The set of responses of all likely voters within the city limits.
d. Sample - The set of responses of the 400 likely voters within the city limits.
e. variable - The response of a likely voter within the city limits.
f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.
Step-by-step explanation:
Explaining the concepts :
An individual simply means each single data point in a dataset.
A set of individuals in a certain make up of interest is called a population.
A sample is defined as a random subset which is representative of the population.
Parameter is a statistical value derived from a population
Statistic is a statistical value derived from a sample
Variable - describes the attributes or characteristic of a sample or population.
a. individual - A likely voter within the city limits
b. parameter - The percentage of all likely voters within the city limits favoring the tax increase.
c. population - The set of responses of all likely voters within the city limits.
d. Sample - The set of responses of the 400 likely voters within the city limits.
e. variable - The response of a likely voter within the city limits.
f. statistic - The percentage of the 400 likely voters within the city limits favoring the tax increase.