In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
Which point is the bearing?The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.
To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.
Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:
Bearing of A from C = 50° + 180° = 230°
Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.
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Complete question -
Darren and Quincy wanted to justify that the expression One-sixth (6 x + 12) minus one-half (4 x + 2) is equivalent to Negative x + 1. Their justifications are shown below. Darren’s Method: Substitute 2 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (2) + 12) minus one-half (4 (2) + 2) = one-sixth (24) minus one-half (10) = negative 1. negative x + 1 = (negative 2) + 1 = negative 1 Quincy’s Method: Substitute 6 into both expressions One-sixth (6 x + 12) minus one-half (4 x + 2) = one-sixth (6 (6) + 12) minus one-half (4 (6) + 2) = one-sixth (48) minus one-half (26) = negative 5. negative x + 1 = (negative 6) + 1 = negative 5
Both are correct because after substituting the same value into both expressions, the result is the same. Therefore, the option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 1/6 (6x+12)-1/2 (4x+2)=-x+1.
Here, 1/6 (6x+12)-1/2 (4x+2)=-x+1
Multiply 1/6 into (6x+12), we get 2x+2 and multiply 1/2 into (4x+2), we get 2x+1.
2x+2-(2x+1)= -x+1
2x+2-2x-1=-x+1
2x-2x+2-1=-x+1 (Group the like terms and simplify)
1=-x+1
x=1-1 (Transpose 1 to RHS of the equation and x to the LHS of the equation).
x=0
Therefore, the option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Darren and quincy wanted to justify that the expression 1/6 (6x+12) - 1/2 (4x + 2) is equivalent to -x+1. their justifications are shown below.
Which explains who is correct?
A. Only Darren is correct because he substituted x = 2 into the expressions.
B. Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions.
C. Both are correct because after substituting the same value into both expressions, the result is the same.
D. Both are correct because they substituted different values into each expression
Complete the table with values for x or y that make this equation true: 3x + y = 15.
Answer:
Step-by-step explanation:
The universal set is the set of rational numbers. S is the set of integers.
Which represents Sc?
a. {x|x is a real number}
b.{x|x is a rational number}
c.{x|x is a rational positive number}
d.{x|x is a rational non-integer}
Answer:
{x|x is a rational non-integer}
Step-by-step explanation:
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours?
O A. 1200 - 65h1 = 4
• B. 14 + 65 h = 200
• c. 165 - 4h1 = 200
O D. |200 - 4h1 - 65
Answer:
200 - 65h = 4
Step-by-step explanation:
let h be the hours taken by the train to reach the railroad road marker point.
average speed of train = 65 miles/hr
total time taken = 65h
total miles = 200
equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart will be,
200 - 65h = 4
(PLEASE) Triangle IJK is similar to triangle LMN. Find the measure of side MN. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
MN = 126.31Step-by-step explanation:
ΔIJK = ΔLMN --- (given)
So,-----------------------
KI / KJ = NL / MN
19 / 40 = 60 / MN
MN = 60 × 40 / 19
MN = 126.31
The required measure of side MN will be 126.3 units.
What are Similar Triangles?Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles.
Given that triangle ΔIJK ~ ΔLMN in the question.
We know that Similar triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
As per the similarity rule of triangles, we can write the ratio as:
⇒ KI / KJ = NL / MN
⇒ 19 / 40 = 60 / MN
⇒ MN = 60 × 40 / 19
⇒ MN = 126.3157
Rounded to the nearest tenth to get
⇒ MN = 126.3
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archer can paint a room in 4 hours, while ollie can do it in 3. if they work together, how long will it take them to paint two rooms? express your answer as a decimal rounded to the nearest tenth.
If Archer can paint a room in 4 hours, while Ollie can do it in 3 hours. If they work together then it will take 206 minutes to paint two rooms.
What is the relation between work and time?
Work Problems are word problems that involve different people or entities doing work but at different rates.
Work = Efficiency x Time
According to the given question:
Archer paints a room in = 4 hours
Work done by him in an hour =1/4
Ollie paints a room in = 3 hours
Work done by him in an hour = 1/3
So, work done by them in an hour W = (1/4 +1/3)= 7/12.
They both will complete the work in = 1/W
= 1/7/12
= 12/7 hours
≈ 103 minutes
Therefore it take 103 minutes to paint one room together.
To paint two rooms it will take 103 x 2 = 206 minutes together.
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CAN YOU PLEASE GIVE ME THE ANSWER ASP
Answer:
N and P
Step-by-step explanation:
N and P grab a like and move the ends in a circle around each letter if they look symmetrical at any point that letter has a line of symmetry.
Answer:
p and n
Step-by-step explanation:
symmetry means they look like a reflection. cutting the letter X in half would give you two parts which look like > and <. Those two parts are reflections of each other. P is the only letter that can't be cut in half to produce two similar parts.
Hope this helps!
Writing Equations Parallel & Perpendicular Lines.
1. Write the slope-intercept form of the equation of the line described. Through: (2,2), parallel y= x+4
2. Through: (4,3), Parallel to x=0.
3.Through: (1,-5), Perpendicular to Y=1/8x + 2
Equation of the line described: y = x + 4
Slope of given line y = x + 4 is 1
Therefore, slope of parallel line is also 1
Using the point-slope form of the equation of a line,
we have y - y1 = m(x - x1),
where (x1, y1) = (2, 2)
Substituting the values, we get
y - 2 = 1(x - 2)
Simplifying the equation, we get
y = x - 1
Therefore, slope-intercept form of the equation of the line is
y = x - 12.
Equation of the line described:
x = 0
Since line is parallel to the y-axis, slope of the line is undefined
Therefore, the equation of the line is x = 4.3.
Equation of the line described:
y = (1/8)x + 2
Slope of given line y = (1/8)x + 2 is 1/8
Therefore, slope of perpendicular line is -8
Using the point-slope form of the equation of a line,
we have y - y1 = m(x - x1),
where (x1, y1) = (1, -5)
Substituting the values, we get
y - (-5) = -8(x - 1)
Simplifying the equation, we get y = -8x - 3
Therefore, slope-intercept form of the equation of the line is y = -8x - 3.
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The time constant of RC circuit is the time in which the current decreases to _____ of its initia value
a. 1/10
b. ½
c. 1/√2
d. 1/╥
e. 1/e
The correct solution to this problem is option e. 1/e. We can find it in the following manner.
The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.
This can be derived from the equation for the current in an RC circuit:
\(I=10 * e^({-t/RC} )\)
where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.
To find the time constant, we set the exponent to -1:
\(e^({-t/RC} ) = 1 /e\)
Solving for t/RC, we get:
t/RC = 1
Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.
So the answer is e. 1/e.
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I am part of a whole. I am four times as large as one-fifth. I am a decimal. What am I?
Answer:
0.80
Step-by-step explanation:
I did the math 5 times
Each side of a sandbox is 4 feet long. It will cost $2.00 per square foot to replace the sand in the sandbox. What would be the total cost to replace the sand?
Answer:
It would cost $32.00
Step-by-step explanation:
Total square feet:
length * width
4 * 4 = 16 sq ft.
Cost per square foot: $2.00
And so...
16 sq ft. * $2.00 = $32.00
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
\(A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2\)
Rectangle)
\(A=b(h)\\A=7(17) = 119cm^2\)
Total)
\(153+119=272 cm^2\)
Open-Ended A baseball team scores a steady number of runs in each of the first 5 innings. After thatthey do not score a run the rest of the game, which lasts 10 innings. Let x represent the inning of thegame, and y represent the total number of runs. Sketch a graph that shows the relationship between xand y. Use pencil and paper. What would happen to the graph if the innings in which they score runschanges?Choose the correct graph below.O A.OC.Baseball GameBaseball GameBaseball GameTotal Number of RusOB.CC
EXPLANATION:
Given;
We are told that a baseball team scores in each of their first 5 innings. After that they do not score a run for the next 10 innings.
Let x represent the inning of the game and y represent the total number of runs.
Required;
Sketch a graph that shows the relationship between x and y.
Step-by-step explanation;
With each run the team scores points, that simply means as x increases, y also increases. That signifies a positive relationship between both variables. A positive relationship will be an upward sloping line (from left to right). At the point where the team does not score any more points, the line does not rise.
So the innings (the x-axis) moves towards the right while the runs does not move at all up till 10 innings.
This is best described by the graph labelled C.
ANSWER:
Graph C best represents the situation described
A term in the algebraic expression 9x6+ 23x3 – 14x is
Terms = 9*6 is a term
then, 23*3 isa term
then, 14x is also a term
HELP PLEASE LOOK AT IMAGEE BELOW
Answer:
y = 7x -9
Step-by-step explanation:
This is a linear equation.
The change in y over the change in x is 9. The y-intercept will be (0, -9).
If you follow the pattern as x is -1 and you go up 1 to zero, the the y goes up 7 from -16 to get -9
Answer:
y = 7x - 9
Step-by-step explanation:
y = 7x - 9
Let checks
-16 = 7(-1) - 9
-16 = -16
-23 = 7(-2) - 9
-23 = -23
So, y = 7x - 9 is the correct answer.
4x – 3y = -10
-16x + 7y = 30
Solve the systems of equations
what’s the answer ??
The simple interest equation for this problem is given as follows:
A = 500 + 10t.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.The parameter values for this problem are given as follows:
P = 500, r = 0.02.
Hence the equation is given as follows:
A = 500(1 + 0.02t)
A = 500 + 10t.
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Can you help me please
Which statement describes the graph?
Answer:
b
Step-by-step explanation:
What is the slope of a lines through the points (4,4) and (4,7)
Answer:
3/0 = Undefined
Step-by-step explanation:
The equation to find the slope of two different points is \(\frac{y2-y1}{x2-x1}\). Now, all you have to do is substitute the values in the equation so that it now looks like \(\\\\\frac{7-4}{4-4} = \frac{3}{0}\). Since you can't divide 3 by 0 it is considered to be undefined, meaning there are no slope for the two ordered pairs.
this function represents the relationship between the radius of cylinders with a height of feet and their volume. why is this relationship between radius and volume nonlinear?
The relationship between the radius and volume of a cylinder with a height of 4 feet is nonlinear because the volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. In this case, the height is fixed at 4 feet. As we change the radius, the volume changes in a nonlinear manner.
The volume increases much faster as the radius increases. This can be seen from the exponential nature of the formula, as the radius is squared. Therefore, even a small increase in the radius results in a substantial increase in the volume, making the relationship between radius and volume nonlinear.
In contrast, if the height were to be proportional to the radius, then the relationship between radius and volume would be linear. This is because the volume would be proportional to the product of the radius and height, which is a linear relationship.
Therefore, the nonlinear relationship between radius and volume, in this case, is due to the exponential nature of the formula for the volume of a cylinder and the fixed height of 4 feet.
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--The given question is incomplete; the complete question is
"This function represents the relationship between the radius of cylinders with a height of 4 feet and their volumes. Why is this relationship between radius and volume nonlinear?"--
A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. a Apply the central limit theorem to describe the sampling distribution of the sample mean with » = 40. What condition is necessary to apply the central limit theorem?
The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To apply the Central Limit Theorem, the following condition is necessary:
1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).
In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.
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An office cubicle measures seven feet by eight feet with a five-foot wall.
What is the volume of the cubicle? Please show work!!!!!!! I WILL GIVE BRAINLIEST!!!!
If the dimension of the cubicle is 7 ft by 8 ft by 5 ft. Then the volume of the cubicle will be 280 cubic feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
An office cubicle measures seven feet by eight feet with a five-foot wall.
Then the volume of the cubicle will be
The volume is given as
Volume = length x width x height
We have
Volume = 7 x 8 x 5
Volume = 280 cubic feet
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Max_int is the maximum integer, min_int is the minimum integer, and w is one less than the word length (e.g., w = 31 for 32-bit integers. which choice is equivalent to a / 4
The line of code that is equivalent to a/4 given that e maximum integer, min_int is the minimum integer, and w is one less than the word length (e.g., w = 31 for 32-bit integers is:
(4) ((a<0)?(a+3) : a)>>2
What is the explanation for the above?Suppose we take a=4 ,
the result is 4 , 4>>2=1
a/4 = 4/4 =1
Thus, assuming that variables a and b are signed integers and that the machine uses two complement representation; and also assuming that MAX INT is the highest integer and MIN INT is the smallest integer, and that w is one less than the word length for 32 bit integers,
The line of code that matches a/4 = ((a<0)?(a+3) : a)>>2
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Select all that apply
Answer:
Rational & integer
Step-by-step explanation:
Rational numbers are terminating. -7 is terminating.
All integers are rational numbers. Integers do not have decimals.
This is not whole because it is negative.
This is not irrational because... it's rational!
it is a rational and integer Hopefully you pass this assignment
Which sentence is an example of indirect characterization?
like her mother, she was both practical and brave
"We’re all strong and hard workers with a lot of stamina,"
Lily worked day and night doing laundry
So the family began preparing for the journey
Answer:
C. Lily worked day and night doing laundry
Step-by-step explanation:
Edge 2022
Answer:
c
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!!!!!
The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?
Enter a number to the nearest hundredth.
Answer:
Approximately 0.51
Step-by-step explanation:
If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.
We're given the following
P(A) = 0.65
P(A and B) = 0.33
So,
P(A and B) = P(A)*P(B)
0.33 = 0.65*P(B)
P(B) = 0.33/0.65
P(B) = 0.5076923076923
which is approximate. When we round to 2 decimal places, we get 0.51
how many pounds of sunflower seed does the mixture contain?
Explanation
In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.
We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;
\(x+y=5----(1)\)Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;
\(2.50x+1.75y=11.60----(2)\)We will then solve the above equation simultaneously.
\(\begin{gathered} \text{Isolate x for x+y =5} \\ x=5-y-----(3) \end{gathered}\)Insert equation 3 in equation 2
\(\begin{gathered} 2.50(5-y)+1.75y=11.60 \\ 12.5-0.75y=11.6 \\ 0.75y=12.5-11.6 \\ 0.75y=0.9 \\ y=\frac{0.9}{0.75} \\ y=1.2 \end{gathered}\)Since the weight of the sunflower seed is represented by y, therefore the answer is;
Answer: 1.2 pounds
Solve this equation.
1/2x- 7 =1/3(x - 12)
X=
TIME REMAININ
y = -6x+2
-12x - 2y = -4
How many solutions does this linear system have?
Answer:
Infinitely many solutions.
Step-by-step explanation:
y = -6x + 2
Add 6x to both sides
6x + y = 2
-12x - 2y = -4
Divide each term by -2
6x + y = 2
Since both equations are actually exactly the same, this linear system will have infinitely many solutions.
Hope this helps!
Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?
Answer:
2.86 hours
Step-by-step explanation:
Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?
Speed = Distance/time
Distance = Speed × time
t = ?
Hence,
8mph ×t + 6 mph × t = 40 miles
8t + 6 t = 40 miles
14t = 40 miles
t = 40/14
t = 2.86 hours
They will meet in 2.86 hours