It can be proven that a Rubik's cube will return to its original state if you repeat any algorithm for a number of times
To prove that a Rubik's cube will return to its original state if you repeat any algorithm for a number of times, follow these steps,
1. Choose an algorithm, Select any algorithm that can be applied to the Rubik's cube. For example, the R U R' U' algorithm.
2. Apply the algorithm repeatedly, Perform the chosen algorithm on the Rubik's cube multiple times. Keep track of the number of times the algorithm is applied.
3. Observe the cube's state, After each iteration, observe the state of the Rubik's cube to see if it returns to its original state.
4. Identify the cycle length, Eventually, the Rubik's cube will return to its original state after a certain number of repetitions of the algorithm. This number is the cycle length of the algorithm.
5. Generalize the proof, The proof holds true for any algorithm on the Rubik's cube, as every algorithm has a finite cycle length due to the finite number of possible configurations of the cube.
In conclusion, it can be proven that a Rubik's cube will return to its original state if you repeat any algorithm for a number of times, because every algorithm has a finite cycle length due to the finite number of possible configurations of the cube.
Learn more about "Rubik's cube": https://brainly.com/question/22645392
#SPJ11
kayla has 7 8 pound of white flour and 4 8 pound of wheat flour. she uses 3 8 pound of the white flour and 1 8 pound of the wheat flour in a recipe she is making. how much flour does kayla have left? enter your answer in the boxes. express the answer in simplest form.
As per the given fraction, Kayla has 7/8 pound of flour left in total.
Let's start by looking at the amount of white flour Kayla has. She has 7/8 pounds of white flour, and she uses 3/8 pounds in the recipe. To figure out how much white flour she has left, we need to subtract the amount she used from the amount she had to start with:
7/8 - 3/8 = 4/8
So Kayla has 4/8 pounds of white flour left. But we can simplify this fraction by dividing both the numerator and the denominator by 4:
4/8 ÷ 4/4 = 1/2
So Kayla has 1/2 pound of white flour left.
Now let's look at the wheat flour. Kayla has 4/8 pounds of wheat flour, and she uses 1/8 pound in the recipe. To figure out how much wheat flour she has left, we need to subtract the amount she used from the amount she had to start with:
4/8 - 1/8 = 3/8
So Kayla has 3/8 pound of wheat flour left.
To find out how much flour Kayla has left in total, we need to add the amount of white flour she has left to the amount of wheat flour she has left:
1/2 + 3/8 = 4/8 + 3/8 = 7/8
To know more about fraction here
https://brainly.com/question/10354322
#SPJ4
A large bag contains the following marbles:
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
Tyra selects a marble from the bag at random. Based on the information, which statement is true?
A.
The correct option for the large bag contains marbles:
A: The marble she selects is twice as likely to be yellow as it is to be green.B: She chooses a marble that has a higher probability of being blue than any other color put together.Explain about the multiple of the number?Multiples are the outcomes of multiplying a numeral by a specific number in mathematics. Examples of multiples of 5 include 10, 15, 20, 25, 30, and cetera.Multiply the integer even by whole number to discover its multiples. For instance, 15 is the third multiple of 5 since 5 3 = 15. The first five multiples of 4 include, for instance, 4, 8, 12, 16, and 20. The first multiple of 4 is 4 since 1 4 = 4.The given question:
marbles in the bag:
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
One marble is selected by Tyra.
Then, the correct option are-
A: There is a two to one chance that the marble she chooses will be yellow rather than green.
16 yellow marbles = 2* 8 green marbles
B: Compared to all the other colors combined, the stone she chooses is more likely to be blue.
40 blue marbles have the highest number.
Know more about the multiple of the number
https://brainly.com/question/28923509
#SPJ1
The complete question is-
A large bag contains the following marbles: •
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
Tyra selects a marble from the bag at random. Based on the information, which statement is true?
A The marble she selects is twice as likely to be yellow as it is to be green.
B.The marble she selects is more likely to be blue than all the other colors combined.
C. The marble she selects is equally likely to be yellow or white
D. The marble she selects is three times as likely to be white as it is to be green.
Please hurry and help
Answer: 90
Step-by-step explanation: I've done this before, this was the correct answer
Answer:90
Step-by-step explanation:
r=2 s=3 t=5
2x3 squared is 2x(3x3)=18
18x5=90
-7 + ◾ = 0 x 11
- 11+=-11
6+(-4+)=(6+(-4)+(-7)
The domain of the function using the attached diagram is given by option A. { x / x = -5, -3, 1, 2, 6 }.
As per the attach diagram,
The mapping in the diagram represents the relation between input values and the output values.
Let us consider all input values are represented by variable 'x'.
And all output values are represented by variable 'y'.
All input values represents the domain of the function.
-5 relates to 4
-3 relates to -9
1 relates to 2
2 relates to -6
6 relates to 0
Here,
Domain of the function is ,
{ x / x = -5, -3, 1, 2, 6 }
Range of the function is ,
{ y / y = 4, -9, 2, -6,0 }
Therefore, the domain of the function is equal to option A. { x / x = -5, -3, 1, 2, 6 }.
learn more about domain here
brainly.com/question/28220570
#SPJ4
The given question is incomplete, I answer the question in general according to my knowledge:
A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
Diagram is attached.
Alyssa was comparing the price of chicken thighs at two stores. At SuperGrocery B, 3 pounds of chicken thighs costs $34.80. The table below represents the total cost, in dollars and cents,
�
y, that it costs for
�
x pounds of chicken thighs at SuperGrocery A.
SuperGrocery A
Pounds (
�
)
Pounds (x)
Total Cost (
�
)
Total Cost (y)
1.5
1.5
$
13.52
$13.52
3
3
$
27.03
$27.03
3.5
3.5
$
31.54
$31.54
4.5
4.5
$
40.55
$40.55
How much more expensive is it, per pound, to buy chicken thighs at Store B than at Store A?
Answer:
To find out how much more expensive it is, per pound, to buy chicken thighs at Store B than at Store A, we need to compare the cost per pound at each store.
At SuperGrocery B, we know that 3 pounds of chicken thighs cost $34.80, so the cost per pound is:
$34.80 / 3 pounds = $11.60 per pound
At SuperGrocery A, we can use the information in the table to find the cost per pound for each amount of chicken thighs:
For 1.5 pounds of chicken thighs:
$13.52 / 1.5 pounds = $9.01 per pound
For 3 pounds of chicken thighs:
$27.03 / 3 pounds = $9.01 per pound
For 3.5 pounds of chicken thighs:
$31.54 / 3.5 pounds = $9.01 per pound
For 4.5 pounds of chicken thighs:
$40.55 / 4.5 pounds = $9.01 per pound
So the cost per pound of chicken thighs at SuperGrocery A is $9.01 per pound, which is less expensive than the cost per pound at SuperGrocery B, which is $11.60 per pound.
To find the difference between the two prices, we can subtract the cost per pound at SuperGrocery A from the cost per pound at SuperGrocery B:
$11.60 per pound - $9.01 per pound = $2.59 per pound
Therefore, it is $2.59 more expensive, per pound, to buy chicken thighs at SuperGrocery B than at SuperGrocery A.
parasubstitution on carbocation stability substituent effect. describe electron donating vs electron pulling effect on at the para substitution
Parasubstitution is a type of electrophilic aromatic substitution in which the attacking electrophile is substituted into the para position of the aromatic compound. The stability of the carbocation formed during this process is influenced by the substituents present on the aromatic ring.intermediate.
Reason of effecting on parasubstitution:
This is due to the fact that these substituents provide electron density to the aromatic ring, which stabilizes the carbocation by delocalizing the positive charge throughout the ring.Electron withdrawing substituents (such as -NO2, -CN, -COR, -COOH, -SO3H, etc.) have a negative impact on the stability of the carbocation intermediate. T
This is due to the fact that these substituents withdraw electron density from the aromatic ring, making the carbocation intermediate less stable.The substituent effect on carbocation stability in parasubstitution can be represented by the Hammett equation, which relates the substituent effect to the electronic properties of the substituent.
The equation is given by
:log (kX/kH) = ρσ
where kX and kH are the rate constants for the reaction with and without the substituent, respectively
, ρ is the sensitivity constant, and
σ is the substituent constant.
To know more about Electrons:
https://brainly.com/question/1255220
#SPJ11
the mean cost of 4 computer keyboards is $12 each. if the cost of a fifth computer keyboard is $16, what is the mean cost for all 5 computer keyboards?
The mean cost for all 5 computer keyboards is $12.80.
The mean cost, also known as the average cost, is a measure of central tendency that represents the typical or average cost of a set of values
To find the mean cost of all 5 computer keyboards, we need to calculate the total cost of all 5 keyboards and then divide by the total number of keyboards.
The total cost of the first 4 keyboards is
= 4 keyboards x $12 each
Multiply the numbers
= $48
The total cost of all 5 keyboards is
= $48 + $16
Add the numbers
= $64
The mean cost of all 5 keyboards is
= $64 / 5 keyboards
Divide the numbers
= $12.80
Learn more about mean cost here
brainly.com/question/27775815
#SPJ4
please help me solve this i’ll mark brainliest
Answer:
m<CDB = m<GDE
Step-by-step explanation:
WILL MARK AS BRAINLEIST: QUICKLY PLEASE
Picture better demonstrate the graph and equations.
Use Newton's Method to find the two solutions of e^2= 6x to six significant figures.
For this problem you will need to use the fact that the exponential equals its own derivative, i.e.,
(d/dx) e^x = e^x
Xleft =_____
Fright=_____
The two solutions to e² = 6x using Newton's method are x_left = 1.23151 and x_right = 2.157545.
What is the solution of the function?To find the solutions of e² = 6x using Newton's Method, we will follow these steps:
Let f(x) = e² - 6x. Then we want to find the roots of f(x) = 0, which are the solutions to e² = 6x.
We need to choose a starting point x₀. A good choice is x₀ = 1, since it's a reasonable approximation to the solutions.
Apply Newton's Method to find the next approximation x₁:
x₁ = x₀ - f(x₀)/f'(x₀),
where;
f'(x) = -6 is the derivative of f(x).Plugging in the values, we get:
x₁ = x₀ - (e² - 6x₀)/(-6) = x₀ + (e²/6 - x₀)
Use x₁ as the new starting point and repeat the process until we achieve the desired level of accuracy.
In this case, we want to find the solutions to six significant figures, so we will repeat the process until the difference between xₙ and xₙ₋₁ is less than 0.000005 (the sixth decimal place).
Using a calculator, we can apply Newton's Method iteratively to find the two solutions:
Iteration 1:
x₁ = x₀ - f(x₀) / f'(x₀)
x₁ = 1 - (e² - 6)/(-6) = 1.231509
Iteration 2:
x₂ = 1.231509 - (e² - 6)/(-6) = 1.463018
Iteration 3:
x₃ = 1.463018 - (e² - 6)/(-6) = 1.694527
Iteration 4:
x₄ = 1.694527 - (e² - 6)/(-6) = 1.926036
Iteration 5:
x₅ = 1.926036 - (e² - 6)/(-6) = 2.157545
The second solution to six significant figures is x_right = 2.157545
Learn more about Newton's method here: https://brainly.com/question/14279052
#SPJ1
A grocer can buy oranges for $1.65 per pound.
1. Write an equation relating c, the cost; and p, the pounds of oranges.
2. An orange order cost $260.10. How many pounds did the grocer order? (Round to the nearest whole number)
Answer:
157 pounds I'm pretty sure the equation would be 1.65c=p
Step-by-step explanation:
p is 1 because no given varible since p=1 pound 1.65 would equal p they 157 pounds bc 260.10/1.65 gives you 157 rounded
Find the length of the hypotenuse
on a right triangle with legs of 12
inches and 10 inches.
Answer:
[tex]2 \sqrt{61} \: in[/tex]
Step-by-step explanation:
Use the Pythagorean theorem (assume, that the length of hypotenuse is x):
[tex] {x}^{2} = {10}^{2} + {12}^{2} = 100 + 144 = 244[/tex]
[tex]x > 0[/tex]
[tex]x = \sqrt{244} = 2 \sqrt{61} [/tex]
need help with part B i send you the screenshot of my work bc i dont know where to place the words
4 divided by 1/5=20
1st
you change the 4 to 4/1
2nd
you change the 1/5 to 5/1
3rd
multiply 4/1x5/1 which gives you 20
Vincent bought a lot with an area of 105. 7 square meters at 12,500. 00 pesos per square meter. He paid -0. 45 of the amount in cash and the rest 24 equal monthly installments. How many much is his monthly installment?
The amount to be paid as monthly installment for 24 equal monthly installments is given by 30,278.65 pesos.
Area bought by Vincent = 105. 7 square meters
Cost per square meters = 12,500. 00 pesos per square meter.
The total cost of the lot is the product of the area and the price per square meter,
Cost
= 105.7 sq m ×12,500.00 pesos/sq m
= 1,321,250.00 pesos
Amount paid by Vincent in cash is equals to
= 0.45 × 1,321,250.00 pesos
= 594,562.50 pesos
The remaining balance to be paid in installments is equals to,
= 1,321,250.00 pesos - 594,562.50 pesos
= 726,687.50 pesos
This balance will be paid in 24 equal monthly installments, so the monthly installment amount is equals to,
= 726,687.50 pesos / 24 months
= 30,278.65 pesos per month (rounded to the nearest cent)
Therefore, amount paid by Vincent as monthly installment is equal to 30,278.65 pesos.
Learn more about installment here
brainly.com/question/23144358
#SPJ4
PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT
Answer:
4t - 22
Step-by-step explanation:
To find:-
Perimeter of the given figure.Answer:-
To find out the perimeter we can simply add all the side lengths of the given figure. Since the given figure here is a rectangle, we can add up all the four sides to find the perimeter.
The four sides given to us are t-6 , t-5 , t-6 and t-5 .
Hence the perimeter of the quadrilateral would be ,
Perimeter = t-5 + t-6 + t-5 + t-6
Perimeter = 4t - 10 - 12
Perimeter = 4t - 22
Hence the perimeter of the given figure us 4t - 22.
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{$\sf\large t-5$}\multiput(-1.4,1.4)(6.8,0){2}{$\sf\large t-6$}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture} [/tex]
pls help
find the area of the composite figure.
Answer:
area=188
Step-by-step explanation:
12×14=168 for the area of the rectangle
2×10=20
20÷2=10 for the area of triangle
168+10+10=188
area=188
2x + y = 3
-3x + 2y = 20
Answer:
x
=
−
y
2
+
10
Step-by-step explanation:
a cheetah travels at a rate of 90 feet per second. the distance d traveled by the cheetah is a function of seconds traveled t. write a rule for the function.
The function rule for this question is d = 90t.
The rate of the cheetah is given as 90 feet per second. The distance travelled by the cheetah is a function of seconds travelled. Let the distance be denoted as d and the time be denoted as t. The function is therefore a linear function of the form y = mx + b.
The equation can be expressed as d = 90t + b. The constant b is the initial distance travelled at time zero since the rate is constant. Therefore, b is zero when the time is zero. The final equation is given as follows: d = 90t, where d is the distance travelled, t is the time and 90 is the rate or speed of the cheetah.
To learn more about "Function": brainly.com/question/14916937
#SPJ11
What is 2 x 6.
I will give brainliest to the one who answers
Answer: 12
Step-by-step explanation: Just multiplied them
Central angles are made of two
Answer:
[tex]\large\boxed{\textsf{Central Angles are made up of 2 Radiuses.}}[/tex]
[tex]\large\underline{\textsf{What are Central Angles?}}[/tex]
[tex]\textsf{Central Angles are angles inside of a circle. They're connected to the center of the circle.}[/tex]
[tex]\textsf{Central Angles have measures determined where the 2 endpoints meet on the circumference.}[/tex]
[tex]\textsf{Central Angles are made of 2 line segments called \underline{Radiuses}. They start at the Center.}[/tex]
[tex]\large\underline{\textsf{What are Radiuses?}}[/tex]
[tex]\textsf{Radiuses are line segments connected from the center of the circle to the circumference.}[/tex]
[tex]\textsf{Hence, Central Angles are made up of 2 Radiuses.}[/tex]
suppose 60% of american adults believe martha stewart is guilty of obstruction of justice and fraud related to insider trading. we will take a random sample of 20 american adults and ask them the question. then the sampling distribution of the sample proportion of people who answer yes to the question is: group of answer choices
Suppose 60% of American adults believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading.
We will take a random sample of 20 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is a binomial distribution.
What is a binomial distribution?A binomial distribution is a statistical distribution that represents the likelihood of one of two outcomes in a sequence of independent trials. Binomial distributions can be used to model a variety of phenomena, including flipping coins, rolling dice, and performing multiple independent experiments.
The probability of getting k successes in n trials in a binomial distribution with probability of success p and probability of failure q is given by the following formula:P (k) = nCk * p^k * q^(n-k)Where nCk is the binomial coefficient, which represents the number of ways to select k items from a set of n items without regard to order.
To know more about Binomial distributions click on below link:
https://brainly.com/question/29163389#
#SPJ11
if the area of a circle is less than $60\pi$ square inches, what is the greatest possible integer value in inches of the radius of the circle?
The greatest possible integer value of the radius of the circle is 7 inches.
The area of a circle is given by the equation[tex]$A = \pi r^2$[/tex]. We know that the area is less than [tex]$60\pi$[/tex] square inches, so the equation can be written as [tex]$60\pi > \pi r^2$[/tex]. We can solve for the radius by dividing both sides by [tex]$\pi$[/tex], which gives us [tex]$60 > r^2$[/tex]. Taking the square root of both sides gives us [tex]$r < \sqrt{60}$[/tex], which is approximately 7.74 inches. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.
To explain this further, we can start with the equation for the area of a circle, which is[tex]$A = \pi r^2$[/tex]. Since the area is less than [tex]$60\pi$[/tex]square inches, this equation can be rewritten as[tex]$60\pi > \pi r^2$[/tex]. We can then divide both sides by [tex]$\pi$[/tex] to get [tex]$60 > r^2$[/tex]. Taking the square root of both sides gives us [tex]$r < \sqrt{60}$[/tex]. This result can then be rounded down to the nearest integer, which is 7. Therefore, the greatest possible integer value of the radius of the circle is 7 inches.
To know more about integer value refer here:
https://brainly.com/question/29261712
#SPJ11
the number of categories of outcomes per trial for a multinomial probability distribution is . a. two or more b. five or more c. four or more d. three or more
The number of categories of outcomes per trial for a multinomial probability distribution is three or more.
The number of categories of outcomes per trial for a multinomial probability distribution is three or more. A multinomial probability distribution is a probability distribution that can be used to describe the possible outcomes of a trial with multiple categories. Each trial can have two or more categories, with each category having one or more outcomes. Therefore, the number of categories of outcomes per trial for a multinomial probability distribution is three or more.
Learn more about Multinomial probability
brainly.com/question/10787369
#SPJ11
76. cash to find work? (4.2) will cash bonuses speed the return to work of une,ployed people? the illinois department of employment security designed an expierment to find out. the subjects were 10,065
The experiment by the Illinois Department of Employment Security found that cash bonuses can be an effective way to incentivize unemployed people to return to work.
The experiment conducted by the Illinois Department of Employment Security provides evidence on whether cash bonuses can speed up unemployed people's return to work. The results of the experiment suggest that offering cash bonuses can be an effective way to incentivize people to find work.
Specifically, the experiment found that the group of individuals who were offered a $500 cash bonus for finding a job within 11 weeks and holding it for at least 4 months were more likely to find employment than the control group. Additionally, the group that could tell potential employers that the state would pay the employer $500 for hiring them also had a higher likelihood of finding work compared to the control group.
Learn more about cash bonuses here
brainly.com/question/18485931
#SPJ4
The given question is incomplete, the complete question is:
The Illinois Department of Employment Security designed an experiment to find out. The subjects were 10,065 people aged 20 to 54 who were filing claims for unemployment insurance. Some were offered $500 if they found a job within 11 weeks and held for at least 4 months. Others could tell potential employers that the state would pay the employer$500 for hiring them. A control group got neither kind of bonus. Will cash bonuses speed unemployed people's return to work?
Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year.
P = $3,350 r = 6.2% t = 8 k = 365
Hint: A = P(1 + £)kt
A = $[?]
Round your answer to the nearest cent (hundredth).
The amount accumulated after 8 years is $5,781.84. Rounded to the nearest cent, this is $5,781.84.
What is an amount?
Using the formula A = [tex]P(1 + r/k)^{kt}[/tex], where A is the amount accumulated, P is the principal, r is the annual interest rate, t is the number of years, and k is the number of times the interest is compounded per year, we can calculate the amount accumulated as follows:
P = $3,350 (given)
r = 6.2% = 0.062 (convert to decimal)
t = 8 (given)
k = 365 (given)
A = [tex]P(1 + r/k)^{kt}[/tex]
A = [tex]$3,350(1 + 0.062/365)^{365*8}[/tex]
A = [tex]$3,350(1.000170685)^{2920}[/tex]
A = $5,781.84
Therefore, the amount accumulated after 8 years is $5,781.84. Rounded to the nearest cent, this is $5,781.84.
To know more about interest, visit:
https://brainly.com/question/30955042
#SPJ9
The assessed value of the Weber family’s house is $186,000. The annual property tax is 2. 15% of assessed value. What is the property tax on the Webers home?
the property tax on the Weber family's home is $3,999. To find the property tax on the Weber family's home, we can use the formula:
Property tax = assessed value x tax rate
First, we need to convert the tax rate from a percentage to a decimal. We can do this by dividing the tax rate by 100:
2.15% ÷ 100 = 0.0215
Now we can plug in the values we know into the formula:
Property tax = $186,000 x 0.0215
Property tax = $3,999
So the property tax on the Weber family's home is $3,999.
Property taxes are a common way for local governments to generate revenue to fund public services like schools, roads, and emergency services. The tax rate is usually based on the assessed value of the property, which is determined by a local assessor's office. It's important for homeowners to be aware of the property tax rates in their area so they can budget for this expense. Some homeowners may be eligible for property tax exemptions or reductions, so it's also worth checking with the local assessor's office to see if there are any options available.
To know more about assessed value click here:
brainly.com/question/10892167
#SPJ4
one business has a large amount of debt on which it pays an annual yield of 8%. a competitor has no debt, and any excess money goes into the bank and earns a yield of 2.3%. each of these businesses bids on a contract which pays $ 40,000 in one year and nine months. indicate which company gives this contract a higher present value, and calculate the difference between these present values, rounding to the nearest dollar. [hint: for both businesses the yield is treated as positive.]
This gives us a present value for the company with debt of $35,564 and a present value for the competitor without debt of $36,944. The difference in present values is $1,380, rounded to the nearest dollar. Therefore, the company with debt gives the contract a higher present value of $1,380.
The company with debt will have the higher present value for this contract. This is because, despite having a higher yield, the competitor without debt is only earning 2.3% on their excess money, while the company with debt is earning 8%.
To calculate the difference in present values, we need to first calculate the present value of each company's contract. To do this, we will use the present value formula, which is:
[tex]PV = C / (1 + r)n[/tex]
Where C is the contract amount, r is the rate of return, and n is the number of years. For the company with debt, we can substitute $40,000 for C, 8% for r, and 1.75 for n. For the competitor without debt, we can substitute $40,000 for C, 2.3% for r, and 1.75 for n.
for such more questions on present value
https://brainly.com/question/14962478
#SPJ11
Find the missing angle measure of the right triangle. Show all work. Round to the nearest tenth.
The missing angle measures 139 degrees.
what is triangle?
A triangle is a polygon that has three sides, three angles, and three vertices. It is a two-dimensional figure that is formed by connecting three non-collinear points. The three sides of a triangle can be of different lengths or the same length, and the angles can also vary in size. The sum of the three angles of a triangle always adds up to 180 degrees. Triangles can be classified based on their side lengths and angle measurements.
In a right triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the missing angle by subtracting the two given angles from 90 degrees.
Let's call the missing angle "x". Then we have:
x + 21 + 20 = 180 (the sum of angles in any triangle is 180 degrees)
x = 180 - 21 - 20
x = 139 degrees
Therefore, the missing angle measures 139 degrees.
To learn more about triangles from the given link: brainly.com/question/2773823
#SPJ1
tycho plans his running training. each week he wants to go for a run on the same weekdays. he never wants to go for a run on two consecutive days. but he wants to go for a run two days a week. how many different weekly plans meet those conditions?
There are 4 different weekly plans that meet the condition
If Tycho wants to go for a run on the same weekdays every week, there are 7 choices for the first day of the week, 6 choices for the second day of the week, and 5 choices for the third day of the week (since he can't run on two consecutive days).
However, we have to be careful not to overcount the number of plans that meet the conditions. For example, if Tycho chooses Monday and Tuesday as his running days, that's the same as choosing Tuesday and Monday.
To avoid overcounting, let's first count the total number of possible plans, regardless of whether they meet the conditions or not. We can choose any two days of the week for Tycho to run, which can be done in 7 choose 2 ways (or C(7,2) ways), since order doesn't matter.
C(7,2) = 7!/(2!(7-2)!) = 21
So there are 21 possible plans, regardless of whether they meet the conditions or not.
Now let's count the number of plans that meet the conditions. Since Tycho wants to run on two days a week and not on consecutive days, there are only two possible patterns: (1) run on Monday and Thursday, or (2) run on Tuesday and Friday.
Each pattern can be done in 2 ways: either run on Monday and Thursday, or run on Thursday and Monday. Similarly, either run on Tuesday and Friday, or run on Friday and Tuesday.
So there are 4 plans that meet the conditions: (Monday, Thursday), (Thursday, Monday), (Tuesday, Friday), and (Friday, Tuesday).
Therefore, there are 4 different weekly plans that meet the condition
Learn more about consecutive days
https://brainly.com/question/420695
#SPJ4
T=m/f
m = 120 correct to 3 significant figures
f=25.6 correct to 1 decimal place
By considering bounds, work out the value of Ito a suitable degree of accuracy.
Give a reason for your answer.
You must show all your working.
In the equatiοn , the value οf T=4.7 .
What is equatiοn?A mathematical assertiοn that shοws the equality οf twο mathematical expressiοns is what an equatiοn in algebra is defined as. Fοr example, the equatiοn 3x + 5 = 14 is cοmpοsed οf the twο equatiοns 3x + 5 and 14, which are separated by the equal sign.
Here the given m=120 and f=25.6
Nοw substitute intο equatiοn then T=m/f
=> T= 120/25.6
cοnvert decimal intο fractiοn then
=> T=[tex]\frac{120}{\frac{256}{10}}[/tex]
=> T = 120 × 10/256
=> T = 120 × 5/128
=>T = 75/16 = 4.7
Hence the value of T=4.7.
Tο learn mοre abοut equation refer the below link
https://brainly.com/question/29336774
#SPJ9
subtract 13 5/8 - 3 2/3
Answer:
9 23/24
Step-by-step explanation:
Change both mixed fractions to improper fractions
13 5/8=109/8
3 2/3=8
Now substract: 109/8 - 8/3= 10 23/24.
Hope this helps!!