The measure of one of its angle is 150°
A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.
Given that
12 sided regular polygon
We can use the following formula to calculate the total number of degrees in any shape:
(n−2)⋅180
[Where n = number of sides]
(12−2)⋅180
(10)⋅180
=1800
So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.
(1800/12) = 150°
Therefore the measure of one of its angle is 150°
To learn more about polygons visit
https://brainly.com/question/10441863
#SPJ1
a recent survey of 6 social networking sites has a mean of 9.05 million visitors for a specific month. the standard deviation was 5 million. find the 98% confidence interval of the true mean. assume the variable is normally distributed. round your answers to at least two decimal places.
The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80
Given,
Number of social networking sites being surveyed = 6
Sample mean = 9.05 million visitors per month
Standard deviation = 5 million
We have to find the 98% confidence interval of the true mean;
Here,
Sample mean, x = 9.05 million
Standard deviation, σ = 5 million
Sample size, n = 6
z score of 98% is 2.326
Now,
9.05 million - 2.326 × (5 million / √6) < true mean < 9.05 million + 2.326 × (5 million / √6)
43.02 million < true mean < 13.80
Therefore,
The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80
Learn more about true mean here;
https://brainly.com/question/2253744
#SPJ4
Find the value of x.
Answer:
C (41)
Step-by-step explanation:
A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.
Answer:
x=41
Step-by-step explanation:
(X+16)+123=180
x+139=180
-139. -139
x=41
Hopes this helps please mark brainliest
What is the slope of the line passing through the following two points.
P1 (4,6) and P2 (5, 9)
Enter your answer in the box.
you need to plug the coordinates into the slope formula, which is m=(y2-y1)/(x2-x1).
m=(9-6)/(5-4)
m=(3)/(1)
m=3
Please help (Algebra 1)
The average rate of change of the function is 0.2 inches per day
How to determine the average rate of change of the function?
A rate of change describes how one quantity changes in relation to another quantity. Mathematically, it is defined as the change in one divided by the change in the other quantity.
In this case, the average rate of change of the function g(n) from n=1 to n=5 will be:
Given the function, g(n) = 10(1.02)ⁿ
average rate of change = g(5)-g(1) / n₅-n₁
g(5) = 10(1.02)⁵ = 11.0
g(1) = 10(1.02)¹ = 10.2
average rate of change = 11.0-10.2 / 5-1
= 0.8/4
= 0.2 inches per day
Therefore, the average rate of change from n=1 to n=5 is 0.2 inches per day
Learn more about average rate of change on:
https://brainly.com/question/8728504
#SPJ1
A ladder 13m long reaches a window which is 5m above the ground , on one side of the
street. Keeping its foot at the same point,
the ladder is turned to the other side of the street
to reach a window at a height of 12m. Find the
width of the street.
The ladder is 13 m long and leans against a window 5 m high, then the ladder leaned to the other side without moving its feet to reach the 12 m high window.
if we imagine a leaning ladder it will look like a right triangle and it will remind us of the Pythagorean theorem. do you remember the pythagorean theorem?
The Pythagorean theorem explains the relationship or relationship between the lengths of the sides of a right triangle.
The Pythagorean theorem reads: "The square of the length of the hypotenuse (hypotenuse) in a right triangle is equal to the sum of the squares of the lengths of the other sides".
in the picture, let's say if the width of the street is a, the height of the window is b and the length of the stairs is c.
in this case we will find the width of the street, namely a, then we use formula a² = c² - b² .
then it will be
b = 12
c = 13
a² = c² - b²
a² = 13² - 12²
a² = 169 - 144
a² = 25
a = 5
So the width of the street is 5 mPlease help this is due tomorrow
If W(-10, 4). X(-2, 71), and Y(-5, 10) classify triangle WXY by its sides. Show all work to justify your answer.
If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.
What is an obtuse scalene triangle?
An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles
Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .
Let's find the length of WX.
[tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]
Now find the length of XY.
[tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]
Now find the length of WY.
[tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]
So from calculations, we can say that triangle is an obtuse scalene triangle.
To learn more about obtuse scalene triangles visit:
https://brainly.com/question/16589630
#SPJ9
4. 6 2/3 divided by 8
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200
What is the joint relative frequency of students who use a computer in a traditional class?
45%
37%
28%
14%
The joint relative frequency of students who use a computer in a traditional class is of:
37%.
How to obtain a relative frequency?The relative frequency of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
In this problem, we want the joint relative frequency of students who use a computer in a traditional class, hence the total and desired outcomes are given as follows:
Total outcomes: 74 students in a traditional class.Desired outcomes: 28 students using a computer in a traditional class.Hence the joint relative frequency of students who use a computer in a traditional class is calculated as follows:
28/74 = 37%. (rounded down).
More can be learned about relative frequencies at https://brainly.com/question/1809498
#SPJ1
Answer:
14%
Step-by-step explanation:
1. I took the test
2.Likes running and swimming=28
Total=200
28/200=.14
.14 in percent form is 14%
PLS GIVE BRAINLIST MEAN THE WORLD
The graph of a linear function passes through (−8,−4) and (4, 5). What is the equation of the function? Please help.
Answer: y=(3/4)x+2
Step-by-step explanation:
1. Find the slope (change of y/change of x)
(5-(-4))/(4-(-8)
9/12
SLOPE: 3/4
2. Find the y-intercept. Insert the points into an equation and find b.
5=(9/12)(4)+b
5=3+b
b=2
Y-INTERCEPT=2
A spherical snowball is melting. Its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm. How fast is the volume decreasing 5 minutes later? give your answer in cubic centimeters per minute.
Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.
Define differentiation.Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives. The velocity is the rate at which a displacement changes in relation to time. A differentiation example would be this. The first derivative of displacement is velocity. The second derivative of displacement is acceleration.
Given,
The radius is decreasing at a rate of dr/dt = 3.
R = 100 cm is the beginning value of the radius.
The duration is t = 25 minutes.
Volume of snowball:
V = 4/3π(100 - 3r)³
Differentiating:
dV/dt = 4/3 × 22/7 (3)(-3)(100-3(25)²)
dV/dt = -23561.94 cm³
Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.
To learn more about differentiation, visit:
https://brainly.com/question/9252799
#SPJ4
Find the missing side of the triangle.
The ratio of 19 yellow beads to 4 red
Answer:
the answer is 19: 4
Step-by-step explanation:
19:4
Determine the effective tax rate for a taxable income of $63,425. Round the final answer to the nearest hundredth.
Answer:
The effective tax rate for a taxable income of $63,425 is 15.18%.
Step-by-step explanation:
1= Prt.
You deposit $2,500 into an account
earning Simple interest. The
interest rate is 1.75%
How much money will be in the
account after 8 years?
-How much interest will be earned
5 years?
in
Part a
There will be $2850 in the account after 8 years
Part b
The amount of interest earned in 5 years is $218.75
The principal amount = $2500
The interest rate = 1.75%
The time period = 8 years
Part a
The simple interest
A = P(1 + rt)
Substitute the values in the equation
A = 2500(1 + (1.75/100)×8)
A = 2500( 1 + 0.14)
A = 2500( 1.14)
A = $2850
Part b
The time period = 5 years
Simple interest = Prt
= 2500 × (1.75/100) × 5
= 2500 × 0.0175 × 5
= $218.75
Hence,
Part a
There will be $2850 in the account after 8 years
Part b
The amount of interest earned in 5 years is $218.75
Learn more about simple interest here
brainly.com/question/25845758
#SPJ1
-6v > 48.help meeeeee
Answer: v<-8
im not sure if that what your looking for but
The scale of a map is 1.5 centimeters =
120 kilometers. If two cities are
4.75 centimeters apart on the map,
what is their actual distance?
A. 420 km
B. 390 km
C.
380 km
D. 360 km
Solve the equation -4(x - 1) + 6x =34 for x
Answer:
Step-by-step explanation:
-4(x - 1) + 6x =34
-4x + 4 + 6x = 34
-4x + 6x + 4 = 34
2x + 4 = 34
2x + (4-4) = (34-4)
2x = 30
2x/2 = 30/2
x = 15
Help!! I need this ASAP!
The given expression rewritten in simplified exponential form is [tex]5x^{\frac{3}{2}}[/tex]
Simplifying an expressionFrom the question, we are to rewrite the given expression is simplified exponential form.
The given expression is
[tex]\sqrt{\sqrt{25^{2} x^{6} } }[/tex]
First, we will evaluate the inner square root
[tex]\sqrt{25^{\frac{2}{2} } x^{\frac{6}{2} } }[/tex]
[tex]\sqrt{25 x^{3 } }[/tex]
Simplifying further
[tex]\sqrt{25 } \times \sqrt{x^{3}}[/tex]
[tex]5\times x^{\frac{3}{2}}[/tex]
= [tex]5x^{\frac{3}{2}}[/tex]
Hence, the expression in simplified form is [tex]5 x^{\frac{3}{2}}[/tex]
Learn more on Simplifying an expression here: https://brainly.com/question/21862471
#SPJ1
You can use indirect measurement to estimate the height of a flag pole. First measure your distance from the base of the flagpole and the distance from the ground to a point on the flag pole that you are looking at. Maintaining the same angle of sight, move back until the top of the flag pole is in your line of sight. Explain why AABC and ADBE are similar. a. b. What is the height of the flagpole? E 7.5 ft Bi AT 4.5 ft 51-22 ft- D T 4.5 ft
The height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
You can use indirect measurement to estimate the height of a flag pole.
Given:
AC || DE
The common angle: Angle B = Angle B
Angle BAC = Angle BDE
Triangle ABC = Triangle DBE (By AA rule)
BC/BE = BA/BD
(7.5 - 4.5)/BE = 5/22
BE = 13.2
The height of the flag pole
h = BE + 4.5 = 13.2 + 4.5 = 17.7 ft
Thus, the height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ1
4^5-9x = 1/8^x-2
what is x equals? and the steps
.. please
You can ask where you don't understand.
Answer question in picture
Answer: 0 = 70º
Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles
What is the solution to the following system?
The solution to the system is x = 0, y =2, z = 5
How to find the solution to the system?Given the following system:
x+ 2y+z=9 -------- (1)
x- y+3z = 13 -------- (2)
2z = 10 -------- (3)
From (3):
2z = 10
z = 10/2 = 5
Put z = 5 into (1) and (2):
x+ 2y+z=9
x+ 2y+5 = 9
x +2y = 9-5
x +2y = 4 -------- (4)
x- y+3z = 13
x -y + 3(5) = 13
x-y + 15 = 13
x-y = 13 -15
x-y = -2 -------- (5)
Using elimination method on (4) and (5):
Subtracting (5) from (4):
x +2y = 4
x-y = -2
3y = 6
y = 6/3 = 2
Put y = 2 into (4):
x +2y = 4
x + 2(2) = 4
x + 4 = 4
x = 4-4 = 0
Therefore, the solution is x = 0, y =2, z = 5. The 3rd option is the answer.
Learn more about system of equations on:
https://brainly.com/question/13729904
#SPJ1
Solve negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity end quantity.
18 over 80
one eighth
negative one and 28 over 80
negative five eighths
The value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.
We are given the following expression:
Negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity.
Rewrite the given expression properly as:
-1/5 * (4 - 14) * (1/4)^2
Evaluate the difference, we will get;
-1/5 * (-10) * (1/4)^2
Evaluate the exponent, we will get;
-1/5 * (-10) * 1/16
This gives us;
2 * 1/16
Further, evaluation give us;
1/8
So, the value of the given expression is 1/8 or one eighth.
Option B is correct.
Thus, the value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.
To learn more about expression visit:
https://brainly.com/question/723406
#SPJ1
What is the answer to this question
Answer:
x = 11
Step-by-step explanation:
Let's have one of the numbers be represented by the variable, x, and the other number be represented with the variable, y
Since the sum of the two numbers is 55, we can write the following equation:
x + y = 55
Then since one number is 4 times as large as the other, we can write: y = 4x
We can now substitute this expression for y into the second equation and solve by
combining like terms and using inverse operations to solve for x:
x + y = 55
x + 4x = 55
5x = 55
5x/5 = 55/5
x = 11
One of the numbers is 11.
Since the sum of the numbers is 55, the other number will be 44.
Answer:
11 and 44
Step-by-step explanation:
→ Write 2 equations
x + y = 55
y = 4x
→ Substitute bottom equation into top
x + 4x = 55
→ Solve
x = 11
→ Find y
4 × 11 = 44
what is the theoretical flow time? (the minimum time required to produce a garage door from start to finish.) the potential answers are: a: 50 minutes. b: 54 minutes. c: 26 minutes. d: 56 minutes. e: 58 minutes.
Theoretical flow time = 58 minutes
The complete question is
Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.
Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓
(10)Assembly→ Door
Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑
Roof path = 15 + 8 = 23
Base path = 3 + 10 + 12 =25
Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins
To learn more about Theoretical flow time :
https://brainly.com/question/27786618
#SPJ4
Noemi strings together x green beads at $0. 75 each with 3 blue beads at $0. 30 each. She makes a bracelet that averages $0. 60 per bead. Choose an equation to model the situation.
The model equation for the given situation is
$0.75x + $0.90)/(3 + x) = $0.60 where,
x ----> known number of green beads
$0.60 ---> bracelet average per bead
Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .
We have given that,
Noemi strings x green beads and 3 blue beads.
Cost of each green beads = $0.75
Cost of each blue beads = $0.30
Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x
Total blue bead cost = 3 x 0.3 = $ 0.9
Total number of beads used by Noemi = x + 3
Total cost of all beads (green+blue)
= $(0.75x + 0.9
Average of bracelets is $0.60 per bead
So average formula ,
($0.75 x + $0.9)/(x+3) = $0.60
or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9
=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.
Hence, equation of model in this situation is
($0.75 x + $0.9)/(x+3) = $0.60
To learn more about Modeling in real life , refer:
https://brainly.com/question/28551037
#SPJ4
8. Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne can jump 13.2 inches, how tall, in inches, is she
36.3 inches the tall is she in.
Given that;
Percentage of vertical jump height = 27.5%
Dagne's height = 13.2 inches
We need to find:
Height of jump
We know that the formula for Computation:
Height of jump = Percentage of vertical jump height × Dagne's height
so,
Height of jump = 13.2 × 27.5
That equals to
Height of jump = 36.3 inches
Hence the answer is 36.3 inches the tall is she in.
To learn more about computation, click here https://brainly.com/question/1216161
#SPJ9
The PTA is purchasing 5 gallon tubs of ice cream for
ice cream sundaes. One gallon of ice cream is 16 Cups
b) How many 1 cup servings are in a 5 gallon tub?
5 gallon tubs of ice cream will make 80 cups of ice cream servings.
According to the question,
We have the following information:
The PTA is purchasing 5 gallon tubs of ice cream cups. One gallon of ice cream is 16 Cups.
Now, we know that when we have to find cost or number of any product then we use multiplication.
Now, we have the following expression:
1 gallon of tub = 16 cups of ice cream
5 gallon of tubs = 5*16 cups of ice cream
5 gallon of tubs = 80 cups of ice cream
Hence, 5 gallon tubs of ice cream will make 80 cups of ice cream servings.
To know more about tubs of ice cream here
https://brainly.com/question/21093199
#SPJ1
Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.
An equation is
=10.
You are
12 years old.
The required age from the equation is 12 years old
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the age to be calculated be = a
The age of the brother be b = ( 1 / 3 ) a
Multiply by 3 on both sides , we get
a = 3b
So , Age to be calculated a = 3b
The age of sister c = 6 years elder than brother
So ,
The age of sister c = b + 6
The age of sister c = 10
From the equations , we can simplify that
c = b + 6
Substituting the value for c , we get
10 = b + 6
Subtracting 6 on both sides , we get
b = 4
Now , from the equation , we get
Age to be calculated a = 3b
= 3 x 4
= 12 years old
Hence , the age to be calculated a is 12 years old
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ1
I need help on this !!!
We can make 75 different outfits by using the fundamentals of the counting principles.
Fundamental of counting principles: It states that if there are m ways of making one choice, n ways of making a second choice, and p ways of making the third choice then there are m x n x p ways of making the first choice, followed by the second choice, and followed by the third choice.
Given that:
The different number of tops (m) = 5
The different number of bottoms (n) = 5
The different number of shoes or boots (p) = 3
Then, according to the fundamental of counting principles, we will multiply the different numbers of tops (m) which is the first choice, different numbers of bottoms (n) which is the second choice, and different numbers of shoes or boots (p) which is the third choice.
Therefore, the different outfits we can make = m x n x p
= 5 x 5 x 3
= 75 different outfits
Hence, we can make 75 different outfits.
To learn more about problems related to outfits visit: https://brainly.com/question/16478199
#SPJ1