12.57 cm is the length of the label on bottle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that a bottle of Buckley's has a radius of 2cm
You need to create a label for this product
We need to find the length of this label.
Means we need to find the circumference of the bottle.
The formula for circumference is
C=2πr
Given radius is 2cm
C=2×3.14×2
C=12.57 cm
Hence, 12.57 cm is the length of the label on bottle.
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Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.
The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is
8 + (n - 1) * -2What is arithmetic sequence?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The sequence is given by the formula
nth term = a + (n - 1) * d
where a = first term
n = the term
d = common difference
In the problem, d = -2 and a = 8, because of this we have
= a + (n - 1) * d
= 8 + (n - 1) * -2
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Mason invested $65,000 in an account paying an interest rate of 4. 6% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $142,200?
It would take about 17.4 years, to the nearest year, for the value of the account to reach $142,200 if the interest rate is 4.6% and no deposits or withdrawals are made.
Therefore the answer is 17.4 years.
To find out how long it would take for the value of the account to reach $142,200, we need to use the formula for compound interest:
A = P(1 + r)^(t)
Where:
A = the future value of the account
P = the present value of the account ($65,000)
r = the annual interest rate (4.6%)
t = the number of years
We know the future value of the account (A) and the present value of the account (P), so we can substitute these values into the formula and solve for t:
142,200 = 65,000(1 + 0.046)^t
To solve for t, we can take the natural logarithm of both sides:
ln(142,200) = ln(65,000(1 + 0.046)^t)
ln(142,200) = ln(65,000) + t(ln(1 + 0.046))
Then we can divide both sides by ln(1+0.046) and take the power of e:
t = (ln(142,200) - ln(65,000)) / ln(1+0.046)
To the nearest year, this gives us t = 17.4 years.
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What is the use of if __ name __ == '__ main __' in Python?
The use of if__name__ == '__main__' in python is to check whether the current script is being run on its own or being imported somewhere else by combining it with if statement.
Here we need to find the use of if __ name __ == '__ main __' in Python.
Basically, in python the term Allows You to Execute Code When the File Runs as a Script, but Not When It’s Imported as a Module
Here for most practical purposes, this is known as the conditional block that you open with if __name__ == "__main__" as a way to store code that should only run when your file is executed as a script.
Therefore, the function is used as a variable defined for each script that defines whether the script is being run as the main module or it is being run as an imported module.
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There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.
Does 3 4 5 make a right triangle?
Answer:
Yes
Step-by-step explanation:
The side lengths are a Pythagorean triple.
Please help due soon pleaseeee!!!!!! Help
Answer:
see attached
Step-by-step explanation:
Given the pictorial equations, you want to know the single-digit values of each of the images.
EquationsThere are 6 equations in 5 unknowns, but no numerical values are assigned. Solving the equations will only give ratios of values. From those, we need to determine the numerical values that will keep all numbers in the range 1–9.
Let the icons be represented by letter variables as follows:
hat = hboot = bsock = stennis shoe = tmitten = mRewriting the equations to standard form, we have ...
h +b -m -s = 0 . . . . . [eq1]
h -b +t = 0 . . . . . . . . [eq2]
b -3s = 0 . . . . . . . . . [eq3]
h -s -t +m = 0 . . . . . [eq4]
h +2s -m = 0 . . . . . . [eq5]
h +b +s -2t = 0 . . . . . [eq6]
SolutionWe can add [eq4] to [eq1] and [eq5] to eliminate the m variable.
(h +b -m -s) +(h -s -t +m) = 0 ⇒ 2h +b -2s -t = 0 . . . . [eq7]
(h +2s -m) +(h -s -t +m) = 0 ⇒ 2h +s -t = 0 . . . . . . . . . [eq8]
Adding [eq2] to [eq6], and [eq7] will eliminate the b variable.
(h +b +s -2t) +(h -b +t) = 0 ⇒ 2h +s -t = 0 . . . . same as [eq8]; no help
(2h +b -2s -t) +(h -b +t) = 0 ⇒ 3h -2s = 0 . . . . . [eq9]
Now, we have 3 equations in 4 unknowns:
b -3s = 0 . . . . . . . [eq3]
3h -2s = 0 . . . . . . [eq9]
2h +s -t = 0 . . . . . [eq8]
The smallest positive integer values that will satisfy [eq9] are ...
h = 2, s = 3
Using these in the remaining equations gives ...
b -3·3 = 0 ⇒ b = 9
2·2 +3 -t = 0 ⇒ t = 7
And we can find m using [eq5]:
m = h +2s = 2 +2·3 = 8
Then the solution is ...
hat = 2boot = 9sock = 3tennis shoe = 7mitten = 8Which variation is represented by this situation:
A building that is 6 stories tall has a shadow that is 22 meters long.
How many stories tall is a building with a shadow that is 40 meters
long? Is it inverse variation or direct variation?
When a building is 40 meters long in shadow cast by another building of the same height, there are 10 levels there.
what is direct variation ?equation that can be used to explain the mathematical relationship between two variables, where one variable is equal to a constant multiplied by the other. A direct variation's (proportional relationship's) graph is a straight line that pierces the origin. On a graph of direct variation, the graph will always pass through (1, k), where k is the proportionality constant. Direct variation refers to a change in one quantity that directly affects the other. The complete opposite of this is inverse variation.
The equation that describes this variation is:
h =kx
1st Data 2nd Data
s=22 m s = 40 m
h=6 stories h = find 2nd
k=find 1st k = 0.27 story/m
Find k: Find h :
h=kx h = kx
6 stories=k(22 m) h = ( 0.27 story/m ) ( 40 m)
k=6 stories/22 m h = 10 stories
k=0.27 story/m
so its direct variation .
When a building is 40 meters long in shadow cast by another building of the same height, there are 10 levels there.
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Write the expression. Then, check all that apply. twice the difference of a number and six A 2-column table with 4 rows. Column 1 is labeled Key Words with entries twice, the difference of, a number, six. Column 2 is labeled Replace with entries 2 times, (minus), n, 6. Replace “a number” with the variable, n. The two operations are multiplication and addition. The two operations are multiplication and subtraction. The constants are 2 and 6. The expression is written as 2(n – 6). The expression is written as 2 × 6 – n.
PLS HELP ME!
The expression for the sentence that is twice the difference of a number and six is given as follows:
2(n - 6).
How to write the expression?The sentence for this problem is defined as follows:
"Twice the difference of a number and six."
The number is unknown, hence the variable that represents the number is given as follows:
n.
The difference between the number and six is given by the subtraction of n by 6, as follows:
n - 6.
(the - symbol represents the subtraction).
The expression twice is equivalent to a multiplication of the expression n - 6 by 2, as follows:
2(n - 6).
(the multiplication symbol is implicit before the parenthesis, meaning that the distributive property is applied).
Which is the expression that represents the sentence given at the beginning of the answer.
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What are the 7 degree of polynomial?
The degree of a constant polynomial (such as 7) is zero.
The variable's highest power in a polynomial expression is the polynomial's degree.
A polynomial is a mathematical expression made up of more than two algebraic terms, particularly the sum (or difference) of several terms that each contain a different power of a single or several variables (s).
It is a monomial combination that is linear. Since the polynomial can be conceived of as 7x0, the degree of a constant polynomial (such as 7) is zero.
Normally, the degree of the zero polynomial (zero) is regarded as being undefinable.
A polynomial function with a degree of 7 is known as a septic function (also known as a 7th degree polynomial).
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Examine the system of equations. −3x y = 4, −9x 5y = −1 what is the solution? ( , )
The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.
Given two equations in x and y,
-3x + y = 4 (equation 1)
-9x + 5y = -1 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -3x + y = 4 ⇒ y = 3x + 4
-9x + 5y = -1 (equation 2)
-9x + 5(3x + 4) = -1
-9x + 15x + 20 = -1
6x = -21
x = -3.5
Substitute the value of x in equation of y and solve for y.
y = 3x + 4
y = 3(-3.5) + 4
y = -6.5
Hence, the solution to the following system of equations is (-3.5 , -6.5).
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Answer:
(-3.5 , -6.5)
Step-by-step explanation:
25 less than the sum of a number and 5 results in 15 what is the number
The number is 35.
What is an equation?
An equation is a statement of equality between two expressions. It uses the equal sign (=) to show that the expressions on either side of the sign have the same value.
For example 2x+3=5y-7z, and x+y=5 are examples of equations.
In solving your problem,
25 less than the sum of a number and 5 results in 15, can be written as an equation like this:
let x be the number we want to find.
x + 5 =15+25 (25 less than the sum of x+5)
x + 5 = 40
then
x=40-5
x=35
So the number is 35.
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ractical Work/Activities A problem on the purification of the impurities present in the pond is given by t 8100p C(p) = 100-P where p is the percentage impurities present in the polluted water and C(p), the pr Rs. needed to remove p% of the impurities. a) Find the cost of removing 90% of the impurities. lim Find C(p). What does the value mean? p→19 Is it possible to purify completely? Give reason. b) c) O oved by Curriculum Development Centre (CDC), Nepal
Therefore , the solution of the given problem of ratio comes out to be
lim C(p) as p->19 = 152900.
Define ratio.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Here,
a) To find the cost of removing 90% of the impurities, we can substitute 90 for p in the equation:
C(p) = 8100p / (100-p)
C(90) = 8100(90) / (100-90)
C(90) = 729000
So the cost of removing 90% of the impurities is Rs. 729000.
b) To find the limit of C(p) as p approaches 19, we can substitute 19 for p in the equation:
lim C(p) as p->19 = 8100(19) / (100-19)
lim C(p) as p->19 = 152900
The value of the limit of C(p) as p approaches 19 means that as the percentage of impurities approaches 19, the cost of purification approaches Rs. 152900.
c) It is not possible to purify completely as the percentage of impurities approaches 100. It's because as the percentage of impurities becomes closer to 100, the denominator of the fraction becomes smaller, thus the value of the cost of purification becomes larger, and it is impossible to pay an infinite amount of money.
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Does anyone know how to do this
The experimental probability of spinning a number less than 3.
7/25.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The total number of spuns.
= 8 + 6 + 9 + 11 + 9 + 7
= 50
Total number of spuns of the spinner less than 3.
= 8 + 6
= 14
The probability of spinning a number less than 3.
= 14/50
= 7/25
Thus,
The probability is 7/25.
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What is relation of log and e?
The relationship between the natural logarithm (ln) and the natural exponential (e) is given by the equation ln(x) = e^x. This equation is known as the exponential form of the natural logarithm.
To explain this relationship, let's start with a simple example. Suppose we have a number x, and we want to find its natural logarithm. To do this, we can use the following equation:
ln(x) = e^x
This equation states that the natural logarithm of x is equal to the natural exponential of x. In other words, we can calculate the natural logarithm of x by raising e to the power of x. To illustrate this with an example, suppose we want to calculate the natural logarithm of 10. We can do this using the equation above as follows:
ln(10) = e^10
Now, we can use a calculator to calculate e^10. If we do this, we get the result of 22,366.48. Therefore, the natural logarithm of 10 is equal to 22,366.48.
The relationship between the natural logarithm and the natural exponential is important because it allows us to easily calculate the natural logarithm of any number. All we have to do is raise e to the power of that number, and the result will be the natural logarithm of that number. This is a very useful tool in mathematics and can be used to solve many problems involving logarithms.
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What are the top 5 formulas in math?
According to the use and the fundamental knowledge behind these formulas, The top 5 formulas in mathematics are quadratic, Pythagorean , slope-intercept , exponential and Euler's Formula.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is the science of studying the properties and relationships of quantities and shapes using logic, symbols and mathematical operations. It is a way of understanding the world and solving problems using quantitative reasoning.
What do you mean by formula?A mathematical formula is a set of symbols, numbers and mathematical operations that express a relationship or equation. These formulas are used to model, describe and explain phenomena in the natural and physical world, as well as in abstract mathematical theories. Formulas can take many forms, including equations, identities, and inequalities. They allow us to make predictions and calculations, and can be used in various fields of science, engineering and other fields to solve problems.
1. root of [tex]ax^2+bx+c[/tex] is [tex]x= \frac {-b+- \sqrt{b^2-4ac}}{2a}[/tex].
2.[tex]h^2 = p^2 +b^2[/tex]
3. [tex]y =mx+c[/tex]
4.[tex]e^x[/tex]
5.[tex]e^{ix} = cosx+isinx[/tex]
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What is the coefficient of y2 in the expression 3y² 4x?
The coeficient of y² in the expression is the number 3
What is an algebraic expression?
An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
In the given expression we have the following:
3y² + 4x
As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.
3 is the coefficient of y²
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Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.
Answer: x = 14
Step-by-step explanation:
For points A, B, and C to be collinear, angle ABD and EBC must be vertical angles. Vertical angles are congruent so we will set them equal to each other and solve for x.
Given:
126 = 9x
Divide both sides of the equation by 9:
14 = x
Reflexive property:
x = 14
In a survey of 170 girls, it was found that 18 girls
can neither dance nor can sing, 96 can dance and
69 can sing. By representing these information in
a Venn-diagram, find the number of girls who
both dance and sing.
Ans: 13
Answer:9
Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69
PLS HELP DO TOMORROW!!!
Answer: 3 grams
Step-by-step explanation:
I just looked up the answer lol- I tried though, (Also I can't guarantee if it's right... But it probably is).
-(-10x-6)-6=-9x
Solve for x
Answer:
x=0
Step-by-step explanation:
Solving the equation:
10x+6-6=-9
10x=-9x
19x=0
x=0
The difference between ( -7×-7) + -(7×7) is
A)98. B)28
C)0. D)-28
To find the difference between (-7*-7) + -(7*7), we first need to calculate the values of each expression.
(-7*-7) = 77 = 49
-(77) = -49
The difference between these two values is 49 - (-49) = 49 + 49 = 98.
Therefore, the answer is A) 98.
The Correct answer is Option (A) = 98.
We need to determine the value of each part and calculate their difference. after that.
Here, (-7*-7)= 49
and, -(7*7) = -49
Now, their difference is to be calculated as follows:
=49 - (-49)
= 49+ 49
= 98.
So, the answer is 98.
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How do you find the hypotenuse of a 45 45 90 triangle?
The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.
The hypotenuse of a 45 45 90 triangle is calculated as the square root of the length of the leg.
We plug the known length of the leg into our 45-45-90 theorem formula:
Hypotenuse = leg * (√2)
Properties of 45-45-90 triangles :
To point out the 45-45-90 special right triangle, check for these three identifying properties:
The polygon is an isosceles right triangle.The two side lengths are congruent, and their opposite angles are also congruent.The hypotenuse (longest side) is the length of either leg times the square root (sqrt) of two, √2.Read more about the isosceles triangle:
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How do you find the horizontal asymptote of a limit?
The way to find the horizontal asymptote of the limit is evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.
The term asymptote in math is defined as a line that the graph of a function approaches as either x or y go to positive or negative infinity.
Here we have to find the horizontal asymptote of a limit.
The process of finding the horizontal asymptote is the line y = 0 is called the asymptote of the graph, and it also represents the value that f(x) will never quite reach.
Here we can also say that f ( x ) = 1 x is asymptotic to the line y = 0.
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The geometric sequence an = 2an – 1 with an initial value of a1 = LaTeX: \frac{1}{8}1 8 represents the amount of money a person has saved after n years of investing. What is the sum of the first 11 terms?
The sum of the first 11 terms of the geometric sequence aₙ = 2aⁿ - 1 with an initial value of a₁ = 1/8 is -10.71.
Therefore the answer is -10.71.
The geometric sequence aₙ = 2aⁿ - 1 with an initial value of a₁ = 1/8 represents the amount of money saved after n years of investing.
So sum of n terms
Sn = 2a - 1 + 2a² - 1 + ... + 2aⁿ - 1
Sn = 2( a + a² + ... + aⁿ) - n
The sum of the first n terms of a geometric sequence aₙ = arⁿ⁻¹ with first term a₁ and common ratio r is given by the formula:
Sn = a₁(1 - rⁿ)/ (1 - r), that is
[tex]S_{n} = a_{1}\frac{ (1 - r^n)}{1 - r}[/tex]
So a + a² + ... + aⁿ = a(1 - aⁿ)/ (1 - a)
Thus Sn = 2( a + a² + ... + aⁿ) - n
Sn = 2a(1 - aⁿ)/ (1 - a) - n
In this case, a₁ = a = 1/8 and n = 11
So the sum of the first 11 terms of the geometric sequence is:
Sn = 2×1/8×( 1 - (1/8)¹¹)/ (1 - 1/8) - 11
Sn = -10.71
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The graph shows the number of each kind of CD in Dante's music collection. What is
the probability that a randomly choosen CD will be country?
Pop
10
Types of Music CDs
Rock
6
Jazz
4
Country
12
Hip-Hop
Answer: 1/8
Step-by-step explanation: To calculate the probability, we first need to add up the total amount of CDs. 10+6+4+12 = 32. After this, we divide 4 by 32, getting 4/32 which can be simplified to 1/8
Please awnswer the question below
Answer:
- ANTIFRAGILE -
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
가시밭길 위로 riding, you made me boost up (ah-ah-ah-ah)
거짓으로 가득 찬 party 가렵지도 않아
내 뒤에 말들이 많아, 나도 첨 듣는 내 rival
모두 기도해 내 falling 그 손 위로 I'ma jump in
Yes, gimme that
걸어봐 위엄 like a lion
눈빛엔 거대한 desire (nan-na-na-eh)
더 부어 gasoline on fire
불길 속에 다시 날아 rising (nan-na-na-eh)
잊지 마, 내가 두고 온 toe shoes
무슨 말이 더 필요해?
무시 마, 내가 걸어온 커리어
I go to ride 'til I die, die
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
Lovey, lovey, lovey
Dovey, dovey, dovey
멋대로 정하네 나란 애에 대해
I don't know what to say, I can't feel it
뜨거운 관심은 환영, 귀여운 질투는 go ahead
줄 달린 인형은 no thanks 내 미랠 쓸 나의 노래
Yeah, gimme that
걸어봐 위엄 like a lion
눈빛엔 거대한 desire (nan-na-na-eh)
더 부어 gasoline on fire
불길 속에 다시 날아 rising (nan-na-na-eh)
잊지 마, 내가 두고 온 toe shoes
무슨 말이 더 필요해?
무시 마, 내가 걸어온 커리어
I go to ride 'til I die, die
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
We can break it baby
Rock it, twist it, lock it baby
All I know is you can't chain me
'Cause I'm gonna break out
Gonna, gonna break out, out
We can break it baby
Rock it, twist it, lock it baby
All I know is you can't chain me
'Cause I'm gonna break out
Gonna, gonna break out, out (whoa-uh-oh-oh!)
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
- song by Le Sserafim
- song title : anti fragile
- stan Le Ssefarim for a better life <3
xoxo
Step-by-step explanation:
Given: PS bisects angle RST, 2SP=3SQ, 2ST=3SR
Prove: Triangle STP ~ triangle SRQ
The Triangle STP is similar to Triangle SRQ.
We can prove that triangle STP is similar to triangle SRQ using the Angle Bisector Theorem and the ratios of the sides of the triangles.
The Angle Bisector Theorem states that if point P bisects angle RST, then the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.
In this case, we are given that 2SP = 3SQ and 2ST = 3SR.
Dividing both sides of the equation 2SP = 3SQ by 2 and both sides of the equation 2ST = 3SR by 2, we get:
SP/PQ = 3/2 and ST/SR = 3/2
As the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.
Therefore, triangle STP is similar to triangle SRQ.
It can also be proven using the fact that PS bisects angle RST which means that the angle PST = PSR. And if two angles of two triangles are equal and the sides are in proportion then the two triangles are similar.
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A photographer plans to frame photos that measure
7 inches long and 6 inches wide. Because his
frames are larger than the photographs, he will
make a mat of uniform width to fill the area between
the photograph and the frame.
Define a unit for each quantity in the worksheet.
Then enter a variable for the mat width and use
this variable to write expressions for the other
quantities.
A unit for each quantity in the worksheet for the mat width are 5.357 inches.
How is the area of a rectangle calculated?The size of a rectangle. A = l × b. Once the length and width are known for any rectangle, the area may be determined. The area of the rectangle is calculated as a square-unit dimension by multiplying length and width.
How do you determine the size of a rectangle frame?Add the height and the width together to get the area of a rectangle. Given that each side of a square is the same length, all you need to do to determine its area is multiply the length of one of its sides by itself.
Length = 7 inches
Width = 6 inches
Area of photograph = length width = 7 6 = 42
Total area of photograph and frame = 84
frame length ( 7 + 2x)
frame width ( 6 + 2x)
Total area = Total area of photograph and frame
( 7 + 2x) ( 6 + 2x) = 84
2 + 13x - 21 = 0
x = 5. 357
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Which expression is equivalent
Answer:
10^14
Step-by-step explanation:
The expression (10^2)^7 uses an exponent rule known as power raised to a power.
The rule states that when you multiply a base and its exponent to a power, you multiply the inner exponent and the outer exponent:
[tex](a^m)^n\\a^m^n[/tex]
Thus, we have
[tex](10^2)^7\\10^2^*^7\\10^1^4[/tex]
A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?AABABBBABBBBBBBBABBBABBBBBBBBAABBABBAABBBBBABBBBBBBBBBBBBABBABBABABABABBABABABABABABABABAAABBABBBABBBBBBBBABBBABBBBBBBBB
A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.
How will outcome be decided?The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.
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