The triangle that is similar to the main triangle is the triangle with same angle with the main triangle.
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
This means for two triangles to be similar, the corresponding angles must be equal and the ratio of the corresponding sides must be equal.
To find the similar triangle we find the triangle that have thesame angles with the main triangle, which is not shown.
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it takes 50 pennies to fill a roll. and how many are in 8 rolls
Answer:
250 pennies
Step-by-step explanation:
50 x 8 = 250
7+7-2x4{44-2+8)??????
Answer:
1577
Step-by-step explanation:
Answer:
− 386
Step-by-step explanation:
Um i dont really know what you were going for but if you can retype the question i can give yo a better answer
Write an equation that represents the line.
Use exact numbers.
Answer:
y = -2x -3
Step-by-step explanation:
To write an equation we need two points that the line cuts through.
we then use the formula: Gradient = Rise/Run
the points chosen are (0,-3) and (1,-5)
Gradient = (-5--3)/(1-0)
= -2
to write the equation we need one known point, gradient and one unknown point say (x,y).
we therefore use the formula for gradient/slope
G = Rise/Run
-2 = y+3/x-0
-2x = y + 3
y = -2x -3
Answer:
y = - 2x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line
m = \(\frac{-5-(-3)}{1-0}\) = \(\frac{-5+3}{1}\) = \(\frac{-2}{1}\) = - 2
the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - 2x - 3 ← equation of line
Complete the chart pleaseee
Compounded Principal Interest Rate per Compounding Period Number of Compounding Periods Final Amount
Annually $9,200 6% / year 1 $20,101.83
Semi-Annually $9,200 3% / 6 months 30 $20,480.73
Quarterly $9,200 1.5% / 3 months 60 $20,740.64
Monthly $9,200 0.5% / month 180 $21,027.54
Weekly $9,200 0.12% / week 780 $21,118.33
Daily $9,200 0.016% / day 5,475 $21,183.05
What is compound interest ?
Compound interest is a method of calculating interest where interest is added to the principal amount, and the interest is also calculated on the accumulated interest. This results in the growth of the principal amount over time. Compound interest is often used in investments, loans, and savings accounts. The formula for calculating compound interest is \(A = P (1 + r/n)^{nt}\), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
According to the question:
Compound Interest Formula: \(A = P(1 + r/n)^{nt}\)
where A is the final amount, P is the principal invested, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested.
Compounded Principal Interest Rate per Compounding Period Number of Compounding Periods Final Amount
Annually $9,200 6% / year 1 $20,101.83
Semi-Annually $9,200 3% / 6 months 30 $20,480.73
Quarterly $9,200 1.5% / 3 months 60 $20,740.64
Monthly $9,200 0.5% / month 180 $21,027.54
Weekly $9,200 0.12% / week 780 $21,118.33
Daily $9,200 0.016% / day 5,475 $21,183.05
Note: The final amounts have been rounded to the nearest cent.
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. A windmill has a diameter of about 210 feet and its circumference is about 660 feet. A smaller version of this windmill has a circumference of about 376 feet. What is the radius of this smaller windmill? A. 130 feet B. 80 feet C. 120 feet D. 60 feet
Using the circumference formula, the radius of the smaller windmill is obtained as Option D: 60 feet.
What is circumference?
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
For the larger windmill, the circumference is C = 660 feet.
Solving for the radius -
C = 2πr
660 = 2πr
r = 660/(2π)
r ≈ 105.1 feet
Also, the diameter is given as 210 feet.
So, the radius will be - diameter / 2.
This gives the radius value as -
Radius = 210/5
Radius = 105 feet
For the smaller windmill, the circumference is C = 376 feet.
Solving for the radius using the same formula -
C = 2πr
376 = 2πr
r = 376/(2π)
r ≈ 59.8 feet
Therefore, the radius of the smaller windmill is approximately 59.8 feet, or 60 feet.
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Solve for x
THANK YOU
Answer:
x=-31/18
Step-by-step explanation:
What expression should be used to access the first element of an array of integers called numbers? What expression should be used to access the last element of numbers, assuming it contains 10 elements? What expression can be used to access its last element, regardless of its length?
To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.
To access the last element of "numbers," assuming it contains 10 elements, use the expression:
`numbers[9]`
Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."
To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.
To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:
'numbers [numbers. length - 1]'
This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.
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Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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By how much is the total sum of 7/8 and 5/9 greater than 5/6?
ANSWER
\(\frac{43}{72}\)EXPLANATION
First, we have to find the total sum of 7/8 and 5/9.
That is:
\(\begin{gathered} \frac{7}{8}+\frac{5}{9} \\ \frac{(9\cdot7+8\cdot5)}{72} \\ \Rightarrow\frac{63+40}{72} \\ \Rightarrow\frac{103}{72} \end{gathered}\)Now, we subtract 5/6 from that.
That is:
\(\begin{gathered} \frac{103}{72}-\frac{5}{6} \\ \frac{103-(5\cdot12)}{72} \\ \frac{103-60}{72} \\ \Rightarrow\frac{43}{72} \end{gathered}\)That is the answer.
What is the relationship between the points on the line and solutions to the linear equation?
The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.
In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.
The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.
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with a reserve requirement of 5% and an initial deposit of $400, what is the maximum total amount of money that will be in the money supply? assume that all currency is deposited in a bank 7 banks hold no excess reserves (rr=.05)
The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.
How to find maximum money?To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.
The money multiplier is given by the formula: MM = 1 / reserve requirement.
Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.
The initial deposit is $400.
To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:
Maximum Money Supply = Initial Deposit * Money Multiplier
= $400 * 20
= $8,000.
Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.
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1.Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 40 minutes to setup the equipment, and each cupcake in the batch takes 1.25 minutes to process. Each unit in the batch must wait for the entire batch to be processed before moving on to packaging. What is the throughput capacity (in cupcakes and/or minutes) of the icing stage? Pick the closest answer.
.6
.8
1
1.25
1.65
2
2. Refer to the previous question. What is the throughput time for a batch of cookies, in minutes? Pick the closest answer.
1.25
2.5
40
125
140
The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.
The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).
Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake
Throughput capacity = 100 cupcakes / 1.25 minutes
Throughput capacity = 80 cupcakes per minute
The closest answer is 80 cupcakes per minute, so the correct option is .8.
The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.
Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)
Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)
Throughput time = 40 minutes + 125 minutes
Throughput time = 165 minutes
The closest answer is 165 minutes, so the correct option is 165.
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Find a value of c so that P(Z ? c) = 0.71. a) -1.11 b) 0.75 c) -0.55 d) 0.55 e) 1.55
Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.
The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.
Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.
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it’s due today and I have no idea what to do!! someone please help me ://
Answer:
\(3 \sqrt{5} \)
2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75. What value of x will make the triangles similar by the SSS similarity theorem? 1.5 20 30 67.5
Answer:
30
Step-by-step explanation:
yes I can tell what it is
The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.
What is the SSS Similarity Theorem?According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.
If the two triangles are similar we would have:
75/50 = 45/x
Cross multiply and find x
x = (45 × 50)/75
x = 30
Thus, the value of x would be: C. 30.
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There are 60 apples and then add 59 apples two times . How many apples and there altogether
Answer:
Step-by-step explanation:
59 apples two times = 59 x 2 = 118 apples
Total apples = 118 + 60 = 178 apples
Discuss the difference between r and p. Choose the correct answers below. r represents the p represents the sample correlation coefficient thing critical value for the correlation coefficient. population correlation coefficient. Click to select your answer(s) 1 - 35 of 35 Type here to search o te Discuss the difference between r and p. Choose the correct answers below. r represents the p represents the critical value for the correlation coefficient. population correlation coefficient. sample correlation coefficient. Click to select your answers) 1.35 of 35
The difference between r and p. is that r represents the sample correlation coefficient while p represents the p-value
What is the sample correlation coefficient?Generally, r represents the sample correlation coefficient, which is a measure of the strength and direction of the linear relationship between two variables in a sample of data. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.
p represents the p-value, which is a measure of the statistical significance of the sample correlation coefficient. It represents the probability that the observed correlation occurred by chance, assuming that there is no true correlation in the population.
A p-value of less than 0.05 is often used as a threshold for determining statistical significance, meaning that the observed correlation is unlikely to have occurred by chance and is likely to reflect a true correlation in the population.
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DETAILS PREVIOUS ANSWERS SCALCET9 1.1.065. Find a formula for the described function. A rectangle has perimeter 20 m. Express the area A (in m2) of the rectangle as a function of the length, L, of one of its sides. A(L) = L(10-L) m2 State the domain of A. (Assume the length of the rectangle is longer than its width. Enter your answer using interval notation.) 0.10 Need Help? Read It Watch It
The formula for the area of the rectangle, A, in terms of the length, L, is given by A(L) = L(10 - L) square meters. The domain of A is the set of all possible values for L, which in this case is the interval [0, 10].
To find the formula for the area, we start by noting that the perimeter of the rectangle is 20 m. Since the perimeter is the sum of all sides, we can express it as follows:
Perimeter = 2(length + width) = 20.
Since the length of the rectangle is longer than its width, we can assume that L represents the length and (10 - L) represents the width. Rearranging the equation for the perimeter, we have:
2(L + (10 - L)) = 20,
2(10) = 20,
20 = 20.
This equation holds true, confirming that the length L and the width (10 - L) satisfy the given conditions. Finally, the area A is given by the product of the length and width:
A(L) = L(10 - L) square meters.
The domain of A is determined by the range of possible values for L, which in this case is [0, 10]. Since the length of a side cannot be negative or exceed 10, the domain of A is the interval [0, 10].
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in a paired design, each pair of observations always consists of measuring the same individual twice. (True or False)
In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.
This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.
The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.
In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.
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T/F If the equilibrium wage in the market for unskilled labor is $8.00 per hour, and the government sets a minimum wage at $7.50 per hour, unskilled workers will receive a pay cut of about 50 cents per hour.
The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.
The wage rate remains unchanged, and the labor market remains in balance.
The statement is false.
False.
The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.
The government then sets a minimum wage at $7.50 per hour.
Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).
In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.
The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.
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Assume double[][] x = new double[4][5], what are x.length and x[2].length? a. 4 and 4
b. 4 and 5 c. 5 and 4 d. 5 and 5
The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.
The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.
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A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 12 customers per hour and an average service rate of 16 customers per hour. The probability of 5 customers in the system is: a. 0.9407 b. 0.05933 C. 0.25 d. 0.7627
Answer:
The correct option is b) 0.0593.
Given that a single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 12 customers per hour and an average service rate of 16 customers per hour.
The probability of 5 customers in the system is to be calculated.
Probability that there are n customers in the system is given by:
Pn= λ/μ
λ = average arrival rate = 12 customers per hour
μ = average service rate = 16 customers per hour
P5 = λ/μ * (λ/μ)^n−1 / n!
= 12/16 * (12/16)^4 / 5!
≈ 0.0593
Therefore, the probability of 5 customers in the system is approximately 0.0593.
Hence, the correct option is b) 0.0593.
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4. Elsa mixed 2 cups red paint with 1 cup blue paint to make purple paint. If she needs more purple
paint and uses 2 cups cup red paint, how much blue paint should she mix with it?
A publisher needs to send many books to a local book publishing retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 40 books. A total of 13 boxes were sent which can hold 360 books altogether. graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number or large boxes sent, y
The number of small boxes sent, x, are 8 and the number or large boxes sent, y be 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the small books and y be the number of large boxes.
Each small box can hold 20 books and each large box can hold 40 books.
A total of 13 boxes were sent which can hold 360 books
20x+40y=360
x+y=13
Now x=13-y
Plug x in above equation
20(13-y)+40y=360
260-20y+40y=360
260+20y=360
20y=100
y=5
Now x=8
Hence, the number of small boxes sent, x, are 8 and the number or large boxes sent, y be 5.
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YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS
Answer:
121
Step-by-step explanation:
74+47=121
180-121=59
59+x=180
x=121
An urn containing 14 marbles of which 4 are blue and 10 are red, a marble is selected at random. What is the probability that a. The marble is blue b. The marble is red
On solving the provided question, we can say that Probability (marble in blue) = 4/14 and Probability (marble in red ) = 10/14
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
total marble = 14
total red = 4
total blue = 10
Probability (marble in blue) = 4/14
Probability (marble in red ) = 10/14
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Write 6 to the power of 3/2 in surd form
Answer:
6√(6) is the answer of your question
What is 5.5 converted to miles?
Answer: 3.42 miles
Step-by-step explanation:
5.5 cm converts to 3.41754e-5 miles
Divide 8m 40cm by 5 (Answer in
centimeters) (A) 1m 68cm (B) 168cm
(C) 1680cm (D) 168m (E) 16800cm [ ]
show work
Step-by-step explanation:
8 m 40 cm
1 m = 100 cm
Then,
8 m = 8 × 100
= 800 cm
800 + 40 = 840 cm
Now,
It's divided by 5
Then,
840/5
= 168
Therefore,
Option B is correct ✔.
Parametrize the portion of the cone z- V8x2 + 8y2 with 0 s zs V8. (Your instructors prefer angle bracket notation>for vectors.)
The parametric equations for the portion of the cone are: r(t) = t, θ(t) = t, z(t) = 2√2t where t is a parameter that ranges from 0 to √8.
To parametrize the portion of the cone z - √(8x^2 + 8y^2) with 0 ≤ z ≤ √8, we can use cylindrical coordinates. Let's denote the parameters as r, θ, and z.
We know that x = rcosθ, y = rsinθ, and z = z.
Substituting these values into the equation of the cone, we have:
z - √(8(rcosθ)^2 + 8(rsinθ)^2) = 0
Simplifying the expression inside the square root, we get:
z - √(8r^2(cos^2θ + sin^2θ)) = 0
z - √(8r^2) = 0
z - 2√2r = 0
From this equation, we can express z in terms of r as:
z = 2√2r
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