Answer 5,352
Step-by-step explanation:
An /80-kg man balances the boy teeter-totter as shown: Note: Ignore the weight of the board. What is the approximate mass of the boy?
When a 180kg man is standing at 1m distance and a boy is standing 4m away from a fulcrum at opposite ends, the mass of boy so that it is balanced is 45kg.
Therefore the answer is 45kg.
Let the mass of the boy be Wb, the mass of the man is Wm = 180kg. The distance of boy from fulcrum is Xb = 4m and the distance of the man from fulcrum is Xm = 1m.
For balancing, the moment about the fulcrum should be zero. That is,
Wb × g × Xb = Wm × g × Xm
Wb × 4 = 180 × 1
Wb = 180/ 4
Wb = 45
--The question is incomplete without figure, answer to the attached figure--
"An 180-kg man balances the boy teeter-totter as shown: Note: Ignore the weight of the board. What is the approximate mass of the boy?"
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What is the measure of angle LMN?
According to the given figure, we can conclude that ∠LMN is 90° in the given triangle LMN.
What is a right triangle?A right triangle is a triangle having one right angle or two perpendicular sides.
It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or originally rectangle triangle.
The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.
The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question, and its "adjacent" side is the one that faces it.
We use special terminology to define the sides of right triangles.
The hypotenuse of a right triangle is always the side across from the right angle.
Therefore, according to the given figure, we can conclude that ∠LMN is 90° in the given triangle LMN.
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A copy machine makes 32 coples per minute. How many copies does it make in 4 minutes and 15 seconds?
Answer:
136
Step-by-step explanation:
because 32 times 4 is 128 and 32 divided by 4 is 8 that together is 136 its dived by four because 15 is 1/4 of 60 which is an hour
Answer: 136 copies in 4 minutes and 15 seconds
Step-by-step explanation:
First, we need to find how many copies the machine makes per second
a minute has 60 seconds. Divide the number of copies made per minute by 60
32/60
simplify
8/15
It can make 8/15 copies per second.
It takes a minute to print 32 copies, so multiply the number of copies per minute by 4 minutes
32*4=128
128 copies in 4 minutes
now 8/15 * 15 =120/15 = 8
128+8=136
Find the value of x or y so that the line passing through the two points has the given slope
16. (-3, y), (-9, -2); m = 1
Answer:
(-3, -2)
Step-by-step explanation:
To find the value of y so that the line passing through the two given points has a slope of 1, we can use the formula for the slope of a line, which is given by:
m = (y2 - y1) / (x2 - x1)
In this case, we know that the slope of the line is 1, so we can set up the equation:
1 = (y - (-2)) / (-9 - (-3))
Solving for y, we get:
1 = (y + 2) / 6
Therefore, y = 1 * 6 - 2 = 4, so the value of y that we are looking for is 4.
Alternatively, we can use the two given points to write the equation of the line in slope-intercept form, which is given by:
y = mx + b
In this case, we know that the slope of the line is 1, so we can write the equation as:
y = x + b
We also know the coordinates of one of the points on the line, (-3, y), so we can substitute these values into the equation to solve for b:
y = (-3) + b
Substituting the value of y that we found earlier, 4, we get:
4 = (-3) + b
Solving for b, we get:
b = 4 + 3 = 7
Therefore, the equation of the line that passes through the two given points and has a slope of 1 is y = x + 7. This equation is in slope-intercept form, so it shows us the value of y when x is 0, which is 7. Since the y-coordinate of one of the given points is -2, we know that this point must be (-3, -2), and we can verify that this point satisfies the equation y = x + 7.
Natalie works in a toy shop and earns $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell?
43 + 3n ≥ 70, so n ≥ 9
43 + 3n ≤ 70, so n ≤ 9
43 + 3n ≥ 70, so n ≥ 24
43 + 3n ≤ 70, so n ≤ 24
Answer:
Hello! Natalie earns a fixed amount of $43 per day. She earns $3 more every toy she sells. Basically, you can set up this equation as 43 + 3n >= 70. This is because she wants to make a least $70 and earns $3 each for "n" toys that she sells. When you solve the inequality, the answer is 9. Subtract 43 from both sides to get 3n >= 37 and divide by 3 to get n >= 9. The answer is A.
Step-by-step explanation:
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5* Le terrain de M. Campo mesure 1250 m².
C'est 450 m² de plus que celui de M. Vergne.
Quelle est la superficie du terrain de
M. Vergne ?
Answer:
800 m^2
Step-by-step explanation:
= 1250 - 450
= 800 m^2 est la superficie de la terre de M. Vergne
j'espère que ma réponse t'aidera.
Letr = (7, 1) and s= (-12, -3). What is r-s?
Answer: (19,4)
Step-by-step explanation:
Subtract the x axis with the x axis and y with y.
So,
7-(-12)= 19
1-(-3)= 4
What is the surface area of a 4 in cube?
On solving the provided question, we can say that, A 4 cm Cube has a 96 cm2 total surface area.
what is total surface area of cube ?Total surface area is the total area, which includes the curved portion and any bases. It refers to the entire surface area of the thing. The total area will be the sum of the two areas if the shape has a curved base and surface.
The cube's surface area is calculated as six times the square of its side lengths. 6a2, where an is the cube's side length, serves as its representation. Basically, it refers to the overall surface area.
total surface area of a cube of 4 cm is 96 cm2
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What is the example of SAS Similarity theorem?
For example, if the ratio of one triangle's two sides to that of another triangle is the same and the angles that the two sides of both triangles inscribe are equal, then two triangles are said to be similar. In light of this, if ∠A = ∠X and AB/XY = AC/XZ, then △ABC ≠ △XYZ.
What is the SAS Similarity theorem?The acronym for the SAS similarity theorem is sided angle side.
We may demonstrate that two triangles are similar when two of their side ratios are the same, plus one of their angles is also equal.
Two triangles are said to be comparable if, for instance, the ratio of one triangle's two sides to those of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Consequently, if ∠A = ∠X and AB/XY = AC/XZ then ΔABC ~ΔXYZ.
Therefore, for example, if the ratio of one triangle's two sides to that of another triangle is the same and the angles that the two sides of both triangles inscribe are equal, then two triangles are said to be similar. In light of this, if ∠A = ∠X and AB/XY = AC/XZ, then △ABC ≠ △XYZ.
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Solve 2x+x+8=6x-3x+8.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. x=
OB. The equation has infinitely many solutions.
O C. The equation has no solution.
Answer:
b
Step-by-step explanation:
pls answer need help.
The missing angles and side measures are:
Angle A = 40°
Angle C = 70°
Side AC = 12 cm
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle ABC is an isosceles triangle.
This means,
Two sides of the triangle are equal and the angle opposite to the sides are also equal.
Now,
Angle C and Angle B are equal.
Angle C = Angle B = 70°
The sum of the three angles is 180 degrees.
Angle A + Angle B + Angle C = 180
Angle A + 70 + 70 = 180
Angle A = 180 - 140
Angle A = 40°
Thus,
The angles of the triangle are 70, 70, and 40.
The sides of the triangle are 12 cm, 12 cm, and 8 cm.
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Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
(A) Vertical angles prove that Angle 2 is congruent to angle 5.
(B) In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
(C) Vertical angles prove that Angle 3 is congruent to angle 6.
(D) The triangles are similar because alternate interior angles are congruent.
(E) In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
(F) The triangles are similar because corresponding sides are congruent.
Answer:
(B) In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
(C) Vertical angles prove that Angle 3 is congruent to Angle 6.
(D) The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
Alternate Interior Angles Theorem
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
As line q has intersected the set of parallel lines c and d, angles 1 and 4 are alternate interior angles, and are therefore congruent.
As line p has intersected the set of parallel lines c and d, angles 2 and 5 are alternate interior angles, and are therefore congruent.
Angle-Angle similarity states that if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other. Therefore, the triangles are similar because alternate interior angles are congruent.
----------------------------------------------------------------------------------------
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
The intersection of lines p and q created two opposite vertical angles: angle 3 and angle 6 are opposite vertical angles. Therefore:
m∠3 ≅ m∠6----------------------------------------------------------------------------------------
Triangle similarity
Two triangles are similar if their corresponding angles are the same size.
As angles 1 and 4 are alternate interior angles and are therefore congruent, they are corresponding angles. Similarly, as angles 2 and 5 are alternate interior angles and are therefore congruent, they are corresponding angles
Therefore this proves that the two triangles are similar and Angle 1 and Angle 4 are corresponding angles.
How do you find all pairs of an integer array whose sum is equal to a given number in Python?
All pairs of an integer array whose sum is equal to a given number in Python using the algorithm based on below three steps:
Step 1: Initialize array and its values
Step 2: Initialize value of sum
Step 3: Call the function find
Programming in Python for all pairs of given number : We will get an array as input from user. We need to find all possible pairs from the given array whose sum is same as given sum. Example:
Array : [5, 2, 0, 4, 1, 8, 7]
Sum = 7
Possible pairs: [5, 2], [0,7],
Algorithm based on below three steps:
Step 1: Initialize array and its values
Step 2: Initialize value of sum
Step 3: Call the function find
Algorithm for function find
Step 1: Iterate on the elements of array with variable i, from 0 to length of array as you want.
For each value of i iterate on array from index i till length of array by using other variable say j.Check if array[i]+array[j] ==given sum. If the above(2) condition is true then print the pairs.Thus, we get the required results.
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What is the equation of the line that passes through the point (-6, 3) and has a slope of 4
we will be using the assumption that each person has a 10% chance of not checking in and that each person checking in is independent of other people checking in. Suggest why this may not be a reasonable assumption in real life.
The 10 percent rule is used to approximate the independence of trials where sampling is taken without replacement.
Why do we check the 10% condition in stats?
It's important to check the 10% condition before calculating probabilities involving x because we want to ensure that the observations in the sample are close to independent.
According to the premise of independence, your data are not related in any manner (at least not in a way that your model hasn't taken into consideration). Actually, there are two assumptions: Since the groups should have diverse compositions, independent observations should be performed between them.
The frequency with which students ask to leave the room during crucial informative periods is reduced thanks to this technique. The 10/10 rule, which prohibits pupils from leaving the classroom during the beginning or last ten minutes of class, is used to achieve this.
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A tank containing 100 gallons of brine made by dissolving 6 pounds of salt in water. Salt water containing one (1) pound of salt per gallon runs in at the rate of 2 gallons per minute. A well stirred mixture runs out at the rate of 2 gallons per minute. Find the amount of salt in the tank at the end of one hour.
The amount of salt in the tank at the end of one hour is 103 lbs .
Given
Initially there are 100 gal in the tank. There are 6 lbs of salt. The concentration of salt in the tank is 6/100 or 0.06 lbs per gal.
Water flowing in has concentration of 1 lb/gal.
Water flowing out has unknown concentration because mixture is constantly changing.
Tank is losing 1 gal per minute. ( 2 - 2 = 0 )
V ( t ) = 100 - t
s ( t ) = 6 + 2t − 3t ∗ C( t )
C ( t ) = s ( t ) / V ( t )
= 100 - t / 2t − 2t ∗ C( t )
= 6 + 2t / 100 + 2t
After 60 minutes
C ( t ) = 6 + 2 * 60 / 100 + 2 * 60
= 6 + 120 / 100 + 120
= 126 / 220
= 63 / 110
Salt content s( t ) = 6 + 2 * 60 - 3 * 60 * 63 / 110
= 126 - 180 * 63 / 110
= 126 - 103
= 103 lbs
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A coin is flipped 50 times and lands on heads 28 times. What is the theoretical probability that the coin will land on heads on the next flip?.
The theoretical probability is 0.5
the practical probability is 0.5
Given, A coin is tossed 50 times, and it lands on heads 28 times. Theoretically, when a coin is tossed the probability of getting a head is 0.5 since in this question we tossed the same coin so the theoretical probability of the given question is 0.5. as per the given data, the Practical probability of getting a head is event happen divided by total events.
Practical probability = 28/50 = 0.56
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Why does math make me cry?
Therefore , the mathematics make us cry because we aren't able to understand the mathematics .
What is mathematics ?Numbers, forms, logic, quantity, equation and arrangements are all topics covered in the study of mathematics. Math allows students to identify solutions to problems through numerical variable computations.
Here,
Anxiety may be indicated by tears or anger, particularly if they only occur during math.
Students who struggle with math anxiety are prone to being very critical of themselves and operating under the damaging and incorrect belief that being strong at arithmetic entails fast obtaining the right answers.
These ideas and attitudes are very restrictive.
Therefore , the mathematics make us cry because we aren't able to understand the mathematics .
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Is a scale factor of 1 congruent?
Answer: If the scale factor is 1, then the original image and the image produced are congruent.
When the scale factor is exactly 1, the copy is the same size as the original.
It is commonly used in maps to represent the actual figures in smaller units. For example, a scale of 1:3 means 1 on the map represents the size of 3 in the real world. The scale factor is a conversion factor - a number that is used to increase or decrease the size of a figure.
The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor
Step-by-step explanation:
A car is traveling at a speed of 39 miles per hour. What is the car’s speed in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.
To convert the car's speed from miles per hour to miles per minute, we need to divide its speed in miles per hour by the number of minutes per hour. Since there are 60 minutes per hour, we can divide the car's speed of 39 miles per hour by 60 to get 39 miles/hour / 60 minutes/hour = 0.65 miles/minute. So, the car's speed in miles per minute is 0.65 miles/minute.
To find the number of miles the car will travel in 20 minutes, we need to multiply the car's speed in miles/minute by the number of minutes it will travel for. Since the car will travel for 20 minutes, we can multiply its speed of 0.65 miles/minute by 20 to get 0.65 miles/minute * 20 minutes = 13 miles. Therefore, the car will travel approximately 13 miles in 20 minutes.
If 5 and (7+ square root 2) are roots of a polynomial with integer coefficients, what must be another root?
Answer:
x = 7 - [tex]\sqrt{2}[/tex]
Step-by-step explanation:
note that roots of the form x = a + b[tex]\sqrt{c}[/tex] occur in conjugate pairs, that is
x = a - b[tex]\sqrt{c}[/tex]
given x = 7 + [tex]\sqrt{2}[/tex] is a root then x = 7 - [tex]\sqrt{2}[/tex] is the other root
How many terms are in the expression 2n 5 3p 4q?
The number of terms in the algebraic expression 2n + 5 - 3p + 4q is:
4 termsWhat 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.
To know the number of terms in an algebraic expression we only need to identify the number of addition or subtraction operations and add 1 to it.
The expression is 2n + 5 - 3p + 4q
has 3 symbols
3 + 1 = 4 termsLearn more about algebraic expression in:
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How to find x+y?
(Explain pls, thank you!
The correct option is A)289
What is a polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division. For example 3x+2x-5
Given here, x²+74x+2021=y²
x²+2×37x + 37² = y²-652
(x+37)²= y²-652
(x+37)²- y² = -652
(x+y+37) (x-y+37) = 289 × -2
thus, x+y+37 = 289 . . . .(1)
x-y+37 = -2 . , . . . . .(2)
Solving the two equations we get x = 125 & y=164
Thus x+y = 125+164
= 289
Hence option A) is the correct answer
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What is the integer between 1 to 100?
The number of intergers between 1 to 100 (i.e two integers) is equals to ninty-eight in count.
The integers are collection of all positive and negative whole numbers. The positive integers are represented by adding (+) symbol in front of number and negative integers by adding (-) sign.
To calculate the number of integers between two integer using the following concept , Subtract the integers of interest i.e, if we have to calculate integer between a to b and then( b-a) and then subtract one .
As a proof of concept, calculate the number of integers that fall between 5 and 10 on a number line. We know there are 4 (6, 7, 8, 9), 10−5−1=4.
We have, to calculate the integers between 1 to 100. Using the above concept, total number of intergers between 1 to 100 are 100 - 1 -1 = 98
Hence, the number of required integers are 98.
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How many solutions does the pair of equations 3x 2y 5 2x 3y 7 have?
The pair of linear equations 3x+2y= 5 and 2x-3y= 7 have one unique solution.
The number of solutions for a pair of equations can be determined by looking at the coefficients of the variables in the equations. In particular, the number of solutions will depend on whether the coefficients of the variables are the same or different.
In this case, the pair of equations 3x+2y= 5 and 2x-3y= 7 have different coefficients for the variables x and y. Specifically, the coefficient of x is 3 in the first equation and 2 in the second equation, and the coefficient of y is 2 in the first equation and -3 in the second equation.
When the coefficients of the variables are different, there is exactly ONE solution to the system of equations. This is because the two equations will intersect at a single point in the x-y plane, which is the solution to the system of equations.
Therefore, based on the coefficients of the variables in the equations 3x+2y= 5 and 2x-3y= 7, we can conclude that there is only ONE solution to this system of equations.
--The question is incomplete, answering to the question below--
"How many solutions does the pair of equations 3x+2y= 5 and 2x-3y= 7 have?"
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Need help with my geometry please and thank you
Answer:
Vertex = (0,0)
Focus = (0, -1/8)
Axis of symmetry; x = 0
directrix, y = 1/8
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
Vertex = (0,0)
Focus = (0, -1/8)
Axis of symmetry; x = 0
directrix, y = 1/8
Step-by-step explanation:
What is the quotient of x³ 3x² 3x 2 X² x 1 )?
To simplify the denominator, we can subtract the common terms - x² and x - leaving us with just x. We can then combine our simplifications to form the final answer of x + 2, then the quotient is x³ + 3x² + 3x + 2 / x² + x = x + 2
x³ + 3x² + 3x + 2
x² + x
Simplifying the numerator:
x³ + 2x² + 3x + 2 - x² - x = x² + 2x + 2
Simplifying the denominator:
x² + x - x = x
Final Answer:
x + 2
The expression x³ 3x² 3x 2 X² x 1 is a fraction, with the numerator being x³ 3x² 3x 2 and the denominator being X² x 1. To solve this expression, we need to simplify both the numerator and the denominator. To simplify the numerator, we can subtract the common terms - x² and x - leaving us with x² + 2x + 2. To simplify the denominator, we can subtract the common terms - x² and x - leaving us with just x. We can then combine our simplifications to form the final answer of x + 2.
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Divide: 255.6 ÷ 12.5 A) 0.488 B) 4.880 C) 20.448 D) 204.48
Answer: C
Step-by-step explanation:If you use a calculator and you divide 255.6 by 12.5 you’d get 20.448
Answer:20.448
[tex]256.6\div12.5[/tex]
Divide:
[tex]256.6\div12.5\\=20.448[/tex]
[tex]\fbox{Option C}[/tex]
PLS HELP WHO EVER ANSWERD FIRST WILL GET THE BRAINLIEST PLS
Leo is a salesperson. Let y represent her total pay (in dollars). Let x represent the number of items she sells. Suppose that x and y are related by the equation y=32x+1900.
What is Leo's total pay if she doesn’t sell any items?
A. $19
B. $3,200
C. $32
D. $1,900
Explain your work pls
By using Linear equation, it can be calculated that
Leo's total pay if she doesn’t sell any items = $1900
Option D is correct.
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Let y represent Leo's total pay (in dollars).
Let x represent the number of items she sells
x and y are related by the equation y=32x+1900.
If Leo does not sell any item, x = 0
y = 32 [tex]\times[/tex] 0 +1900
y = $1900
Leo's total pay if she doesn’t sell any items = $1900
Option D is correct.
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Is 12 a prime number yes or no?
Answer:
12 is not a prime number.
Step-by-step explanation:
⭐What is a prime number?
A prime number is a real number that is only divisible by 1 and itself12 is not a prime number because it is divisible by numbers other than 1 and itself, such as...
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