The length of the base of the second triangle is also 15.
To determine the length of the long side of the new tent pole, we can use the concept of similar triangles.
Since the triangles formed by the ropes of the old and new tents are similar, their corresponding sides are proportional.
Let's denote the length of the long side of the new tent as x. According to the given information, we have the following ratios:
15/20 = x/20
By cross-multiplication, we can solve for x:
15 x 20 = 20 \(\times\) x
300 = 20x
x = 300/20
x = 15
Therefore, the length of the long side of the new tent pole is 15.
In the second triangle, where the long side is 20 and the base is unknown, we can use the same principle.
Let's denote the length of the base as y. The ratio of the corresponding sides is:
20/y = 15/20
By cross-multiplication, we can solve for y:
20 x 15 = 20 x y
300 = 20y
y = 300/20
y = 15
So, the length of the base of the second triangle is also 15.
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100 Points!!!
Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Let's see
#a
Take 28
(28)²(30-2)²30²-2(30)(2)+2²900-120+4780+4784#2
Take 9,10
9³+10³(9+10)(9²-9×10+10²)(19)(81-90+100)19(181-90)19(91)1729Answer:
Two-digit number greater than 25: 32
Rewrite 32 as the difference of 2 numbers: 40 - 8
Therefore, x = 40 and y = 8
\(\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}\)
Let a = 10
Let b = 11
\(\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}\)
P= 7r+3q work out the value of p when r = 5 and q= -4
When r = 5 and q = -4, the value of P is 23.
The value of P when r = 5 and q = -4, we can simply substitute these values into the equation P = 7r + 3q and perform the arithmetic:
P = 7(5) + 3(-4)
P = 35 - 12
P = 23
An equation is a statement that asserts the equality of two mathematical expressions, which are typically composed of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. An equation can be used to represent a wide range of mathematical relationships, from simple arithmetic problems to complex functions and systems of equations.
Equations are often used to model and solve problems in various fields of science, engineering, and economics, among others. For example, the laws of physics can be expressed through equations, such as the famous E=mc² equation that relates energy and mass in Einstein's theory of relativity. Equations can also be used to model economic relationships, such as supply and demand curves, or to solve engineering problems, such as the stress and strain of a material under load.
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In circle D, which is a secant?
G
F
С
Н
Оооо
В 12 13
E
В
Answer:
GH
Step-by-step explanation:
A secant is a straight line which cuts the circle at 2 points
GH and FE both do this but FE is a special secant, that is the diameter
Then GH is a secant
Select the correct answer.
Which number is an irrational number?
A. \sqrt(100)
B. 1/8
C. -2.2675
D. \root(3)(6)
The number which is an irrational number is the: D. ∛6.
Which number is an irrational number?An irrational number is a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.
√100 = 10 which is a rational number since it can be expressed as the fraction 10/1.
1/8 = 0.125 which is a rational number since it can be expressed as the fraction 1/8.
-2.2675 is a rational number since it can be expressed as a decimal which terminates after a finite number of digits.
∛6 ≈ 1.8171 which is an irrational number since it cannot be expressed as a fraction and has a non-repeating decimal representation.
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What's an equation that will move the graph of the function f(x) = x^2 left 2 units and down 4.
Answer:
y = f(x+2)-4
Step-by-step explanation:
you change x in the bracket(+ is left, - is down)you change y outside the bracket(+ is up, - is down)(20P) Help please and thanks
Answer:
121212
Step-by-step explanation:
f12121
Which of the following encryption methods combines a random value with the plain text to produce the cipher text?
One-time pad
Steganography
Transposition
Elliptic Curve
The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.
The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.
In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.
Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.
Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.
Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.
Therefore, the correct answer is: One-time pad.
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Can someone explain to me how to work out this problem and get the right answer? My solutions manual said that the answer was $200, but, I haven't figured out how to get that. Please help!
The price of the once high-flying tech stock fell by 22% the week before last and by another 15% (from its new lower price) last week. If the price of the stock is now $132.60 what was it originally (before both price declines)?
Answer:
200$
Step-by-step explanation:
calculator
How do I find the angle of something
Ok, so think of a house. The sides and the floor meet up and forms a right angle, at 90 degrees. Now think about the gaps in a protractor (the piece of plastic that measures angles). The gaps corner is an acute angle, about 75 degrees.
To find the angle of something, you need to look at were the objects corners are, and if needed, use a device to measure the angle.
ΔABC ΔXYZ. What's the scale factor from ΔABC to ΔXYZ? An image of two similar triangles, ABC and XYZ. AC is labeled 12. XZ is labeled 3. Question 16 options: 12 4
The scale factor of the ΔABC to the triangle ΔXYZ as evident in the task content is; 12/3 = 4.
What is the scale factor of transformation of the triangle ΔABC to ΔXYZ?It follows from the task content that the two triangles ΔABC and ΔXYZ are said to be similar triangles.
On this note, it can be concluded from the statement of similarity that the ratios of their corresponding side lengths must be in proportion.
Consequently, since side AC is labelled 12 and side XZ is labelled; 3, the scale factor from ΔABC to ΔXYZ is; 12/3 = 4.
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7. Find the radius of circle G below.
Answer:
Step-by-step explanation:
A = 9
chord length c = 18
height h = 4
r = (c²+4h²)/(8h) = 12.125
Help me solve this and if you could explain it would be great
Answer: the equation is 3x=12
Step-by-step explanation:
The coefficient is 3 because the coefficient is the number being multiplied by the variable (x).
To find the solution you have to divide both sides of the equation by 3 to find what times 3 will give you 12. After dividing both sides by 3 you get this equation. X=4
So this means that the solution is 4.
Hope this helps :)
Out of 288 persons in a company, 112 are men, and the remaining are women. The ratio of the number of men to the total number of persons is
the ratio of the number of men to the total number of persons is 7:18.
The ratio of the number of men to the total number of persons can be calculated by dividing the number of men by the total number of persons.
Number of men: 112
Total number of persons: 288
Ratio of men to total persons = Number of men / Total number of persons
= 112 / 288
To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which is 16 in this case.
112 / 288 = (112 ÷ 16) / (288 ÷ 16)
= 7 / 18
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Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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what is air
what do we get from air
Answer:
air is a type of oxegen that we breath
Step-by-step explanation:
we get air from trees .
Solve the equation for x.
2x+6=8y-4
Thanks!
Answer:
x = 4y - 5
Step-by-step explanation:
2x + 6 = 8y - 4
2x = 8y - 10
x = 4y - 5
Answer:
x = 4y-5
Step-by-step explanation:
2x + 6 = 8y - 4
Subtract 6 from both sides:
2x=8y-10
Divide both sides by 2:
x = 4y - 5
4. Given that 3(x - 1) - 2(x - 1) = 7 the value of x is A. 6 B. 7 C. 8 D. 9
Answer: The answer is 8
Step-by-step explanation: Took the test and got 100
solve this it attached
\(\\ \sf\longmapsto \dfrac{15}{k}\)
k=3Put the value
\(\\ \sf\longmapsto \dfrac{15}{3}\)
\(\\ \sf\longmapsto 5\)
\(\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ \)
Value of k is 3
\(\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ \)
A cat weighs 814 pounds.How many ounces does the cat weigh?
Answer: 13,024
Step-by-step explanation:
used a converter
Answer:
Step-by-step explanation:
16 ounces is equal to 1 pound so to convert ounces to pounds just multiply by 16. 814 times 16 is equal to 13,024 or thirteen thousand and twenty-four.
The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
show work.
Answer:
\(5\sqrt{5}\)
Step-by-step explanation:
1. \(5^2 +10 ^2 = c^2\)
2. \(c^2 = 125\)
3. \(c = 5\sqrt{5}\)
Answer:
approximately 11.18 inches or \(5\sqrt{5\) inches
Step-by-step explanation:
We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.
5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c
sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)
The hypotenuse is approximately 11.18 inches or \(5\sqrt{5\) inches.
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
Please help me with this anyone please and thank you
Answer:
w∈ {-1/5, -5/3]
If this is what you were looking for...
150 points please help
Answer:
150 isnt a thing but I will gladly take 5 :)
(2x+3)(2x−9)
Step-by-step explanation:
Hope this helps^^
Data on salaries in the public school system are published annually in National Survey of Salaries and Wages in Public Schools by the "Education Research Service." The mean annual salary of public) classroom teachers is $49.0 thousand. Assume a standard deviation of $9.2 thousand. a. Determine the sampling distribution of the sample mean for samples of size 64 b. Repeat part (a) for samples of size 256. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain. What is the probability that the sampling error made is estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000? c. d. Repeat part (d) for samples of size 256.
a. The sampling distribution of the sample mean for samples of size 64 is $1.15 thousand. b. The sampling distribution of the sample mean for samples of size 256 is $0.58 thousand. Yes, we need to assume that classroom teacher salaries are normally distributed. c. We can be 95% confident that the true population mean salary of all classroom teachers lies within $1000 for sample size 64 and d. for sample size 256.
a. Using the central limit theorem,
The mean of the sampling is:
standard error of the mean = population standard deviation / sqrt(sample size)
sample size = 64:
standard error of the mean = 9.2 / sqrt(64) = 1.15
So the sampling distribution of the sample mean for samples of size 64 has a mean of $49.0 thousand and a standard deviation of $1.15 thousand.
b. For samples size = 256, the standard error of the mean can be calculated as:
standard error of the mean = 9.2 / sqrt(256) = 0.58
So the sampling distribution of the sample mean for samples of size 256 has a mean of $49.0 thousand and a standard deviation of $0.58 thousand.
c. Using the formula for margin of error:
margin of error = z* (standard error of the mean)
where z* is the z-score. Assuming a 95% level of confidence, z* is 1.96.
Therefore,
margin of error = 1.96 * 1.15 = 2.25
d. To find the probability,
margin of error = 1.96 * 0.58 = 1.14
So we can be 95% confident that the true population mean salary of all classroom teachers lies within $1000 of the sample mean salary of a sample of 256 classroom teachers, with a margin of error of $1.14 thousand.
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why is arg z discontinuous at 0
The argument of a complex number z, denoted as arg z, is the angle between the positive real axis and the line connecting the origin to z in the complex plane.
When z is a positive real number, its argument is 0, and when z is a negative real number, its argument is π radians. However, arg z is undefined at 0 because the angle between the positive real axis and any line passing through the origin is not well-defined. This is because the argument function is discontinuous at 0, meaning that the limit of the argument as z approaches 0 from different directions does not exist. For example, the argument of a complex number approaching 0 from the positive real axis is 0, while the argument of a complex number approaching 0 from the negative real axis is π. Therefore, arg z is not continuous at 0 and is undefined at this point.
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A saleswoman earns 9% commission on all the merchandise that she sells. Last month she sold $6000 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer: she gets 540
Step-by-step explanation:
She earns 540 dollars since the saleswoman only gets 9% of it and she sold $6000 dollars worth of merchandise you divide by percentage
Example: 1. Find the percentage of the original or real number. In this case, it's 500.
2. Multiply the final number by 100. 500 x 100 = 50,000.
3. Divide the result of the multiplication by the percentage. 50,000 divided by 40% = 1,250. Thus, 500 is 40% of 1,250.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
74
Step-by-step explanation:
87-13=74
Answer:
Sydeny is 50 years old
Chromium metal can be produced from high-temperature reactions of chromium (III) oxide with liquid silicon. The products of this reaction are chromium metal and silicon dioxide.
If 9.40 grams of chromium (III) oxide and 4.25 grams of Si are combined, determine the mass of chromium metal that is produced. Report your answer in grams
When 9.40 grams of chromium (III) oxide and 4.25 grams of Si are combined and react together, the chromium (III) oxide (Cr₂O₃) is reduced to form chromium metal (Cr) while the silicon (Si) is oxidized to form silicon dioxide (SiO₂).
The balanced chemical equation for the reaction can be written as:2 Cr₂O₃ + 3 Si ⟶ 4 Cr + 3 SiO₂
The equation above shows that two moles of chromium (III) oxide react with three moles of silicon to form four moles of chromium metal and three moles of silicon dioxide. We can use this stoichiometric ratio to find the mass of chromium metal produced from the given mass of chromium (III) oxide and silicon.
1. Calculate the moles of each reactant. The molar mass of Cr₂O₃ is 152.0 g/mol.
Therefore, the number of moles of chromium (III) oxide (Cr₂O₃) is: 9.40 g ÷ 152.0 g/mol = 0.0618 mol
The molar mass of Si is 28.09 g/mol.
Therefore, the number of moles of silicon (Si) is: 4.25 g ÷ 28.09 g/mol = 0.1515 mol
2. Use the stoichiometry of the balanced chemical equation to find the number of moles of chromium metal formed from the given amount of chromium (III) oxide and silicon.
In the balanced chemical equation above, two moles of Cr₂O₃ react to produce four moles of Cr.
Therefore, the number of moles of Cr produced from 0.0618 moles of Cr₂O₃ is:
0.0618 mol × 4 mol/2 mol = 0.1236 mol
In the balanced chemical equation above, three moles of Si react to produce four moles of Cr.
Therefore, the number of moles of Cr produced from 0.1515 moles of Si is:
0.1515 mol × 4 mol/3 mol
= 0.2020 mol3.
Calculate the mass of chromium metal produced from the number of moles found above.
The molar mass of chromium (Cr) is 52.0 g/mol. Therefore, the mass of chromium metal produced is:
0.1236 mol + 0.2020 mol = 0.3256 mol
52.0 g/mol × 0.3256 mol = 16.94 g
Hence, 16.94 g of chromium metal is produced from the given mass of chromium (III) oxide and silicon.
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Find the measure of the indicated angle to the nearest degree
Please show all steps ty
Answer:
71 degrees
Step-by-step explanation:
1. We know that the angle is unknown as demonstrated by '?'
2. The 17 side is opposite of the unknown angle
3. The 18 side the hypotenuse (not in contact with the right angle)
4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse
5. The equation should be sine(degree) = 17/18
6. Since we don't know the degree we bring sine to the left and has a negative power of 1
7. The equation now becomes degree = sine^-1 (17/18)
8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71
Use the line plot at the right. how much older
is the oldest player than the youngest player?
The oldest player is 14 years older than the youngest player.Based on the given line plot, the oldest player is 14 years older than the youngest player.
To determine the age difference between the oldest and youngest players, we need to analyze the line plot provided. The x-axis represents the players' numbers, while the y-axis represents their ages. By examining the plot, we can determine the age of the youngest player, which is 20 years. Similarly, the age of the oldest player can be found to be 34 years.
To calculate the age difference, we subtract the age of the youngest player from the age of the oldest player: 34 - 20 = 14.
Based on the given line plot, the oldest player is 14 years older than the youngest player.
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