Given two triangles ABC and DEC
AB // DE
So, at both triangles there are the following:
1. < A = < D ( alternate angles are congruent )
2. < E = < B ( Alternate angles are congruent )
3. < C = < C ( vertex angles are congruent )
So, the triangle ABC is similar to the triangle DEC by AAA
WE will find which option is true:
The answer is option B. m
Find the perimeter and area
hi, I would appreciate it if u upvote it, thank you
Urgenteee
Un tronco de madera de 3,080 kg de 1m de diametro
y 10m de largo, flota en el agua ¿Cuanto es el volumen de tronco
por arriba de la superficie del agua?
The volume of the log will be 30,70,760 m³.
What is Archimedes principle?Mathematically, we can write Archimedes principle as -
F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}
Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.
Since the log floats on water, the density of both the log and water is same.
So, we can write volume as -
Volume = 3080 x 997 Volume = 30,70,760 m³
Therefore, the volume of the log will be 30,70,760 m³.
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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}
Complete the inequality for this graph.
y≤[?]
Answer:
2
Step-by-step explanation:
Everything below the line at y=2 is shaded, so y is less than or equal to 2.
2
Step-by-step explanation:I just completed that same exact question on my exam and it passed. Hope this helps!
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
The function C gives the production cost for a bakery to produce cakes of a certain type, where C(x) is the cost, in dollars, to produce x of the cakes. The function M defined by M(x)=C(x+1)−C(x) gives the marginal cost, in dollars, to produce cake number x+1. Which of the following gives the best estimate for the marginal cost, in dollars, to produce the 40th cake?
Answer:
To find the marginal cost, in dollars, to produce the 40th cake, you can use the function M(x) = C(x+1) - C(x). Substituting 40 for x in this function gives:
M(40) = C(40+1) - C(40)
This expression represents the cost to produce the 41st cake minus the cost to produce the 40th cake, which is the marginal cost of producing the 40th cake. To find the best estimate for this marginal cost, you would need to know the values of C(41) and C(40) and substitute them into the expression above. Without knowing these values, it is not possible to determine the marginal cost of producing the 40th cake.
Step-by-step explanation:
the quotient of a number x and two tenths
The quotient of a number x and two tenths is 5x
What is quotient?Quotient is defined as the quantity derived from the division of two numbers.
From the information given, we are to find the the quotient of;
a number x two tenths represented as 2/ 10 = 0. 2The quotient is written thus;
= x/ 2/ 10
Take the inverse of the denominator and multiply
= x × 10/ 2
= 10x/ 2
find common divisor
= 5x
Thus, the quotient of a number x and two tenths is 5x
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WXYZ is a parallelogram. Name an angle congruent to ∠WZY.
Answer:
Angle congruent to ∠WZY is ∠WXY
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)
The mean is 0.477514 (rounded to 6 decimal places).
The standard deviation is 0.288919 (rounded to 6 decimal places).
How to Solve the Problem?To calculate the mean and standard deviation, we will use the following formulas:
Mean = (sum of all values) / (number of values)
Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]
Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:
Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514
Therefore, the mean is 0.477514 (rounded to 6 decimal places).
Now we will calculate the standard deviation:
Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919
Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).
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Graph the compound inequality on the number line.
x2 and x <8
-10.98
53
12
8 9 10
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witch of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it
a. length(time)
b.Time(race)
c.time(length)
d.cost(time)
The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".
When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.
In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.
a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.
b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.
c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.
d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.
Therefore, "time(length)" is the most suitable and appropriate name for the function.
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Two parallel lines are crossed by a transversal.
What is the value of d?
The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.
What is a Transversal?In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.
The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.
Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°
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a study was conducted that resulted in the following relative frequency histogram. determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.
If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
What is Histogram?Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
Given is relative frequency histogram.
The histogram is not given, so will discussion the property that tells whether the histogram indicates a normal distribution or not.If the bars roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
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PLEASE ANSWER FAST I HAVE 10 MINUTES LEFT AND ILL GIVE BRAINLIEST IF CORRECT!
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)
Step-by-step explanation:
Each point on rectangle A'B'C'D are 4 times the original distance from the origin as the rectangle ABCD.
Answer:
Ummm the first choice?
Step-by-step explanation:
I guessing and not reading
A researcher wants to study the effects of sleep deprivation on motor skills. Nine people volunteer for the experiment: Amanda, Brian, Christine, David, Emily, Fred,George, Heather, and Ivan. Use the second row of digits in the random number table below to select a simple random sample of three subjects (ignore zeros). Theother six subjects will go into the control group. If the subjects are numbered through 9 alphabetically, what are the numbers of the three subjects selected? List thesubjects that will go in the treatment group.Line/Column(1)(2)(3)(4)177952454778618314079264955243209744831960479733397402669224773What are the numbers of the three subjects selected?{If not an answer please an explanation, I don’t understand how to get the numbers}
The second row has the following numbers:
64955, 24320, 97448, 26692
We are interested in numbers from 0 to 9, then we are only interested in the first digit of the numbers, which are: 6, 2, 9, 2.
Student 2 is Brian
Student 6 is Fred
student 9 is Ivan
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answer: 258 \(yard^{2}\)
Step-by-step explanation: To find the surface area you add the area of all the sides. And the unit for a surface area is unit (yards) squared.
Front: 5 • 9 = 45
Back: 5 • 9 = 45
Left: 6 • 5 = 30
Right: 6 • 5 = 30
Top: 9 • 6 = 54
Bottom: 9 • 6 = 54
45 + 45 + 30 + 30 + 54 + 54 = 258.
What is the center of the hyperbola?
(y+3)29−(x−2)22=1
Enter your answer by filling in the boxes.
center:
What is the center of the hyperbola?
(y+3)²/9-(x-2)²/2=1
Enter your answer by filling in the boxes.
center: (__,__)
Answer:(2,-3)
Step-by-step explanation:
Find the x- and y-intercepts of the graph of -8x+7y=40−8x+7y=40. State each answer as an integer or an improper fraction in simplest form.
4/5 • 5/4 = 1 Determine the property illustrated.
The algebraic property illustrated is the commutative property of multiplication
What are the properties of algebra?
The properties of algebra are those properties mostly used in simplifying algebraic expressions.
Algebraic properties are:
Commutative property of additionCommutative property of multiplicationAssociative property of additionAssociative property of multiplicationDistributive Properties of Addition Over MultiplicationFrom the expression given we have
4/5 • 5/4 = 1
= 4/ 5 × 5/ 4
= 1
Thus, the algebraic property illustrated is the commutative property of multiplication
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Write the expression as a decimal number 2 x 0.1 + 5 x 0.001 =
The measure of decimal number is 2 tenths + 5 thousandths is 0.205.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given expression
2 x 0.1 + 5 x 0.001
the expanded form is 2 tenths + 5 thousandths
= 2/10 + 5/1000
multiply and divide by 100 in 2/10
we get 200/1000
now 200/1000 + 5/1000 = 205/1000 = 0.205
Hence value of expression is 0.205.
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The state transportation commission counted cars traveling east and west across a toll bridge. 75% of the 588 cars counted were traveling east. How many eastbound cars did the commission count?
Answer: the answer is 441
Step-by-step explanation: 75% of 588 is 441
Write the following expression without negative exponents and without parentheses. (8x)^-2
The expression (8x)⁻² can also be written without negative exponents and without parentheses as 1/64x².
What are expression in mathematics?A formula is a set of two or more numbers or variables and one or more mathematical operations. This mathematical operation is addition, subtraction, multiplication, or division. The formula has the following structure:
The expression is (number/variable, arithmetic operator, number/variable).
In simple words, an expression in mathematics is any data( which includes alphabets) in which there is no "equal to" sign.
According to the given information in the question:
(8x)⁻² = 1/(8x)²
= 1/64x²
Thus the expression can also be written as 1/64x².
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Need help ASAP plz !!!!!
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
which side lengths form a right triangle
Answer:
A and C
Step-by-step explanation:
A right triangle consists of two legs and a hypotenuse.To find hypotenuse, we use The Pythagorean TheoremThe Pythagorean Theorem = \( {a}^{2} + {b}^{2} = {c}^{2} \)two legs meet at a 90° angle and the hypotenuse is the longest side3 - 4 - 5
6 - 8 - 10
7 - 24 - 25
5 - 12 - 13
are some basic right triangle
(about more, look picture)
Just use hypotenuse formula :
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
Option C is correct
\( {5}^{2} + { \sqrt{6} }^{2} = { \sqrt{31} }^{2} \)
Option A is correct
\( {5}^{2} + {5}^{2} = { \sqrt{50} }^{2} \)
But B isn't correct
Hope this helps ^-^
The distribution of monthly charges for cellphone plans in the United States is approximately normal with a mean of $62 and a standard deviation of $18. What percentage of plans have charges that are less than $83.60?
About 88.49% of cellphone plans have charges that are less than $83.60.
How to determine the percentage of plans have charges that are less than $83.60?To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.
z = (x – μ) / σ
where x = 83.60, mean, μ = 62 and standard deviation, σ = 18
Thus, the z-score of $83.60 is:
z = (83.60 - 62) / 18 = 1.2
Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).
Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.
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Solve the triangle. Round your answers to the nearest tenth. 27 degrees
Sorry never mind! Got it! Can’t delete!
One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
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Find the difference. 70- (-101)
Answer:
The correct answer of this question is (B)
Step-by-step explanation:
--=+
Answer:
B 171.
Step-by-step explanation:
70 - (-101)
= 70 + 101
= 171.
9.3 ÷ 0.6 please answer
Answer:
15.5
Step-by-step explanation:
because thats the right answer
Answer:
15.5
Step-by-step explanation:
So I've put up 9.3 at the bottom, and put 0.6 on the outside, and did the whole thing, so i got 15.5, and checked my calculator and it was correct!
Did this help?
And make sure noone took my answer
Translate this sentence into an equation.
Helena's age decreased by 23 is 63.
Use the variable h to represent Helena's age.
Answer: ALEKS LINEAR EQUATIONS AND INEQUALITIES
h-23=63
Step-by-step explanation:
We must translate this sentence into an equation.
Helena's age decreased by 23 is 63.
The words decreased by tell us to subtract.
In particular, Helena's age decreased by 23 means −h23.
The word is means equals.
So we get the following.
h-23=63
If Helena's age decreased by 23 is 63 and the variable h represents Helena's age. The condition followed by the equation will be,h-23 = 63.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Helena's age decreased by 23 is 63.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
If the variable h represents Helena's age. The condition followed by the equation will be,
h-23 = 63
Thus, if Helena's age decreased by 23 is 63 and the variable h represents Helena's age. The condition followed by the equation will be,h-23 = 63.
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