The solution of c(r) in 3D spherical coordinates behaves differently because in 3D, there are radial and angular dimensions.
What do you mean 3D coordinates?3D coordinates refers to the system of three-dimensional spatial representation of an object, where each point in 3D space is represented by a set of three values, also known as coordinates. These coordinates are typically written in the form (x, y, z), where x, y, and z represent the values along the three axes of a three-dimensional coordinate system.
3D coordinates are commonly used in computer graphics, engineering, and mathematics to describe the positions and orientations of objects in 3D space. In computer graphics, for example, objects are often represented using 3D coordinates to specify their position, orientation, and size in the virtual world. In engineering and mathematics, 3D coordinates are used to describe the positions of points in three-dimensional space and to perform transformations, such as rotations and translations, on these points.
The 3D coordinate system is a fundamental tool for visualizing, analyzing, and manipulating objects in three-dimensional space, and it provides a powerful way to describe complex 3D shapes, geometric relationships, and physical interactions.
The solution of c(r) in 3D spherical coordinates behaves differently than the solution of c(x) in 1D coordinates because in 3D, there are radial and angular dimensions to consider, which can affect the overall behavior of the solution. Additionally, the spherical coordinates take into account the spherical symmetry of the problem, while the 1D coordinates do not.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answer: the answer is C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It's like connecting the dots
For example, BD. When you draw a line from B to D, you have to touch O at some point.
That happens for all of them except one, which is a.) AB.
When you connect points A and B, you never touch point O
Edit; What the other person said is right actually. I'm wrong. He gets my 5 stars.
Convert 4582 base ten to base two.
Answer:
Step-by-step explanation:
458210 in binary
=10001111001102
Lincoln drives 15 miles in 12 minutes. If he drove one hour in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Lincoln drive in total?
Answer: Lincoln drove 15 miles in 12 minutes, so he drove a total of 60 minutes because 60/12 = 5.
Thus, Lincoln drove a total of 15 * 5 = 75 miles.
Step-by-step explanation:
Points (-1,0). (1,3), and (5, -2) are three vertices of a parallelograi parallelograms can be created using these three vertices? Find the c tach point that could be the fourth vertex.
The fourth vertex of the parallelogram is (3,-5) .
What is a vertex?A vertex is a point on a polygon where the sides or edges of an object meet, or where two rays or line segments meet. The plural form of vertex is vertex.
vertex - side or edge
For example, in the figure above, points A, B, C, D, and E are vertices.
Let A(-1, 0), B(1, 3), C(5,-2) and D(x, y) be the vertices of a parallelogram ABCD taken in order. Since, the diagonals of a parallelogram bisect each other.
∴ Coordinates of the mid-point of AC=Coordinates of the mid-point of BD(
([tex]\frac{-1+5}{2}[/tex],[tex]\frac{0-2}{2}[/tex])=([tex]\frac{1+x}{2}[/tex],[tex]\frac{3+y}{2}[/tex])
([tex]\frac{4}{2}[/tex],[tex]\frac{-2}{2}[/tex])=([tex]\frac{1+x}{2}[/tex],[tex]\frac{3+y}{2}[/tex])
Equating both side coordinate respectively
[tex]\frac{1+x}{2}[/tex]=2
1+x=4
x=3
[tex]\frac{3+y}{2}[/tex]=-1
3+y=-2
y=-5
⇒x=3andy=-5
Hence, the fourth vertex of the parallelogram is (3,-5)
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Miguel’s steps in evaluating an expression are given below.
32 divided by 2 (2 cubed minus 4)
Step 1: Equals 32 divided by 2 (8 minus 4)
Step 2: Equals 32 divided by 2 (4)
Step 3: Equals 32 divided by 8
Step 4: Equals 4
What, if any, was Miguel’s mistake?
Miguel made no mistakes.
Miguel incorrectly evaluated 2³ in step 1.
Miguel incorrectly multiplied before dividing in step 3.
Miguel should have used the distributive property in step 1.
The correct statement regarding the solution of the expression is given as follows:
Miguel made no mistakes.
How to solve the expression?The expression for this problem is defined as follows:
32/[2(2³ - 4)].
The parenthesis has precedence, and inside the parenthesis, the cube has precedence, hence:
32/[2(8 - 4)] = 32/[2(4)]
Multiplying in the denominator and then dividing the numerator by the denominator, the result is given as follows:
32/[2(4)] = 32/8 = 4.
Meaning that no mistake was made.
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Two sides of a parallelogram are 270 feet and 470 feet. The measure of the angle
between these sides is 9º. Find the area of the parallelogram to the nearest square
foot.
The area of a parallelogram with given sides and angle between them is equal to 19847 square foot.
Let us consider the two sides of a parallelogram be x feet and y feet.
x = 270 feet
y = 470 feet
Angle between x and y is 9°
Diagonal divides the parallelogram into two congruent triangles
Area of a parallelogram = 2 × Area of a triangles
Area of triangle = ( 1/ 2) ( x × y × sin9° )
= (1/2) ( 270 × 470 × sin9° )
= ( 1/2) ( 270 × 470 × 0.1564 )
= 9923.58 square feet
Area of a parallelogram = 2 × 9923.58
= 19847.16
= 19847 square foot.
Therefore, the area of a parallelogram for the given measurements is equal to 19847 square foot.
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A cubic root function has a domain of x≥7 and a range of y≥−1 .
What is the domain of its inverse?
Responses
x≥1
x is greater than or equal to 1
x≥−1
x is greater than or equal to negative 1
x≥−7
x is greater than or equal to negative 7
Answer:
x≥−1
Step-by-step explanation:
The domain of the inverse of a function is the range of the original function. The range of the cubic root function is y≥−1, so the domain of its inverse would be x≥−1.
Answer:
x≥−1, x is greater than or equal to negative 1
Step-by-step explanation:
The inverse of a function switches the roles of x and y, making the original range the new domain and the original domain the new range. In this case, the original domain is x≥7 and the range is y≥−1, so the inverse has a domain of y≥−1 and a range of x≥7 :)
Shade the grid 13/20
Then turn it into a percentage
Please show the grid
The percentage of the ratio 13:20 is approximately 39.39%.
What is the percentage?
In mathematics, a percentage is a way of expressing a number as a fraction of 100. Percentages are often used to represent proportions, rates, or changes in quantities. The word "percent" means "per hundred," so a percentage is equivalent to the corresponding fraction multiplied by 100.
To find the percentage of a ratio, we need to convert the ratio to a fraction and then multiply by 100 to express it as a percentage.
The ratio 13:20 can be written as a fraction by dividing the first term by the sum of the terms
13 / (13 + 20) = 13/33
To express this fraction as a percentage, we multiply by 100:
(13/33) x 100 = 39.39%
The grid can be shaded as below:
Therefore, the percentage of the ratio 13:20 is approximately 39.39%.
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the height of a cylindrical container of radius r is 15 cm. what is the height of this quantity of water if it is poured into a cylindrical container of 2r?
Step 1: Calculate the volume of the water in the first container.
The volume of a cylinder is V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.
Therefore, the volume of the water in the first container is V = πr^2 x 15 cm, where r is the given radius of the container.
Step 2: Calculate the height of the water in the second container.
The volume of the water in the second container is the same as the volume of the water in the first container, since the same quantity of water is being poured from one container to the other.
Therefore, the volume of the water in the second container is also V = πr^2 x 15 cm, where r is now 2r, the radius of the second container.
To find the height of the water in the second container, we can substitute the value of the radius into the equation for the volume and solve for h. This gives us h = (15 cm) / (π(2r)^2), which simplifies to h = 15 cm / 4πr^2.
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The graph on the right shows two angles that share the same terminal side: Together, the angles form a circle. What if you subtract the angle measures?
Therefore , if we know the measures of the angles θ1 and θ2 in degrees, we can use equations (1) and (2) to find their difference, α - β.
Exactly what is an angle?An angle in Euclidean space is a shape made up of two poles that divide at the centre, or apex, of the structure. These beams are referred to as the sides or loops. When two rays are combined, there may be an inclination inside this surfaces where they are situated. Angles can also be created by combining two surface.
Here,
Since the two angles share the same terminal side, they are coterminal angles. This means that they differ by an integer multiple of 360 degrees or 2π radians.
Let the two angles be θ1 and θ2. Then we can express them as:
θ1 = k(360°) + α (1)
θ2 = k(360°) + β (2)
where k is an integer and α and β are the measures of the angles in degrees, such that 0° ≤ α, β < 360°.
Since the angles share the same terminal side, they must add up to 360 degrees or 2π radians. So we have:
θ1 + θ2 = k(360°) + α + k(360°) + β = 360° (3)
Simplifying equation (3), we get:
θ1 + θ2 = 2k(360°) + α + β = 360°
α + β = 360° - 2k(360°) = 360°(1 - 2k)
Therefore, the sum of the two angles α and β is equal to 360 degrees times an integer 1-2k.
To find the difference between the two angles, we can subtract equation (2) from equation (1):
θ1 - θ2 = (k(360°) + α) - (k(360°) + β) = α - β
Therefore, the difference between the two angles is equal to the absolute value of the difference between their measures in degrees:
|α - β| = |θ1 - θ2|
Note that since the angles are coterminal, their measures differ by an integer multiple of 360 degrees, so the difference between their measures can be found by subtracting one from the other and taking the result modulo 360. That is:
α - β = (θ1 - θ2) mod 360°
So if we know the measures of the angles θ1 and θ2 in degrees, we can use equations (1) and (2) to find their difference, α - β.
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2. A man gets 1.8 million loan to buy a house, he paid interest at the rate of 9% per annum. In the first year, he paid the interest on the loan, he also paid back 140,000 of the money he borrowed. (1) how much did he pay in the first year altogether, (2) if he paid this money by monthly installment, how much did he pay per month.
(1) The amount of interest he paid in the first year altogether is 302,000.
(2) The monthly installment is 25,166.67 per month
How did we get the values?(1) The amount of interest he paid in the first year is 1.8 million x 9% = 162,000.
So, in the first year, he paid a total of 162,000 + 140,000 = 302,000.
(2) To calculate the monthly installment, we first need to find out the total amount he paid in a year and then divide it by 12:
302,000 ÷ 12 = 25,166.67
So, he paid 25,166.67 per month.
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Answer:
$296,318.52$24,693.21Step-by-step explanation:
You want to know the total paid during the first year of a $1.8M loan at 9% if the balance is reduced by $140,000 after 12 monthly payments. You also want to know the amount of the monthly payment.
Future valueThe remaining balance of an amortized loan is given by the formula ...
FV = PV(1 +r)^n - <future value of payments>
where r is the monthly interest rate, and n is the number of months.
Using the given loan values, we have ...
1,800,000 -140,000 = 1,800,000(1 +0.09/12)^12 -<payment value>
(2) Payment amountSolving for the future value of the payments, we find ...
<payment value> = 1,800,000(1.093806898) -1,660,000 = 308,852.42
This is the future value of the payments made, so some further calculation is required to find the amount of the payment.
<payment future value> = P((1+r)^n -1)/r = P(1.0075^12 -1)/0.0075
P = <payment future value>/12.5075864
P = 308,852.42/12.5075864 = 24693.21
The amount of the monthly payment was $24,693.21.
(1) Total paid12 monthly payments were made in the first year, so the total paid was ...
12 × $24,693.21 = $296,318.52 . . . . total paid in the first year
__
Additional comment
The attachment confirms these numbers. It is the output of an online remaining balance calculator. The difference of $0.04 between the bottom two numbers is a consequence of rounding. The given payment actually reduces the balance by $140,000.04.
After a procedure has been completed, what questions can be asked to help evaluate the results? Check all that
apply.
When should this procedure be performed again?
Were the steps completed in order?
What could be done differently in the future?
Was the expected outcome reached?
-Who else has completed this procedure?
The answers to questions 2, 3, and 4 can be used to assess the effectiveness of a technique after a procedure is finished.
What questions can be asked to help evaluate the results?Were the steps completed in order?
This is a crucial question to ask since it reveals the steps in the process and their chronological order, allowing the processes to be adjusted as necessary in the future.
What could be done differently in the future?
It is crucial since it can identify existing problems as well as those that can develop in the future, and it will aid in resolving them.
Was the expected outcome reached?
The most crucial question to ask is what result you want the process to produce; if not, you'll need to adjust the phases and the process.
Evaluation: Evaluation is the methodical conclusion of any topic, problem, or subject using predetermined standards or criteria. To judge their worth or value, the step and the methods are analyzed and assessed.
Therefore, the answers to questions 2, 3, and 4 can be used to assess the effectiveness of a technique after a procedure is finished.
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Image attached! 5th grade math.. red help getting the answer. Please show work.
The average sale price of new one family houses in the United States for a recent year was $238,100. Find the range of values in which at least 88. 89% of the fake prices will lie if the standard deviation is $53,500
The range of values in which at least 88.89% of the fake prices will lie if the standard deviation is $53,500 will be $84,600 and $391,600.
What does standard deviation mean in plain English?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.
Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
The lower boundary of the range is calculated by subtracting two standard deviations from the average sale price
$238,100 - $53,500 = $84,600
The upper boundary of the range is calculated by adding two standard deviations to the average sale price
$238,100 + $53,500 = $391,600
Therefore, the range of values in which at least 88.89% of the fake prices will lie is between $84,600 and $391,600.
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 7 people took the trip. She was able to purchase coach tickets for $320 and first class tickets for $1170. She used her total budget for airfare for the trip, which was $3940
. How many first class tickets did she buy? How many coach tickets did she buy?
Answer:
Sarah purchased 2 first class tickets and 5 coach tickets.
Step-by-step explanation:
Let's call the number of first class tickets purchased "x".
The number of coach tickets purchased would be 7-x.
We know that the total spent on first class tickets was $1170 * x and the total spent on coach tickets was $320 * (7-x).
The total budget was $3940, so we can set up the following equation:
$1170 * x + $320 * (7-x) = $3940
Expanding the right side:
$1170 * x + $320 * 7 - $320 * x = $3940
Combining like terms:
$800 * x = $3940 - $320 * 7
Subtracting $320 * 7 from both sides:
$800 * x = $3940 - $2240
$800 * x = $1700
Dividing both sides by 800:
x = 2.125
Since x must be a whole number, Sarah purchased 2 first class tickets and 5 coach tickets.
Prove that x^(logy-logz)*y^(logz-logx)*z^(logx-logy) = 1
Answer:
We can start by using logarithmic properties. If a, b, and c are positive numbers, then:
loga^b = b * loga
Using this property, we can rewrite the expression as:
x^(logy - logz) * y^(logz - logx) * z^(logx - logy) = x^(logy/logx - logz/logx) * y^(logz/logy - logx/logy) * z^(logx/logz - logy/logz)
Using the change-of-base formula, we can simplify the exponents:
x^(logy/logx - logz/logx) = (logy/logx) / (logz/logx) = logy/logz
Similarly,
y^(logz/logy - logx/logy) = logz/logx
and
z^(logx/logz - logy/logz) = logx/logy
Now, we can substitute these results back into the original expression:
x^(logy - logz) * y^(logz - logx) * z^(logx - logy) = logy/logz * logz/logx * logx/logy
By the transitive property of logarithms, we have:
logy/logz * logz/logx * logx/logy = logy/logx
Finally, using the change-of-base formula again, we can simplify this result:
logy/logx = y^(1/logx) / x^(1/logx)
Since y and x are positive numbers, their exponents must also be positive. Therefore, we have:
y^(1/logx) / x^(1/logx) = 1
So,
x^(logy - logz) * y^(logz - logx) * z^(logx - logy) = 1
And we have proven that the expression is equal to 1.
Step-by-step explanation:
What is 60 percent of 20
Answer:12
Step-by-step explanation:
50% of 20 is 10, 10% of 20 is 2 so just add them together.
The 2 rectangles below are similar.
Work out the value of x.
If your answer is a decimal, give it to 1 D.P
Answer:
x = 6
Step-by-step explanation:
the opposite sides in a rectangle are congruent.
since the rectangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{5x}{18}[/tex] = [tex]\frac{10}{x}[/tex] ( cross- multiply )
5x² = 18 × 10 = 180 ( divide both sides by 5 )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
Now answer the following ques Write 1930.54 in standard form. A. B. C. D. 1.93054 × 10² 1.93054 x 10² 1.93054 x 10-2 1.93054 × 10³
1930.54 can be written in standard form as 1.93054 × 10³. Option D is correct.
What is a standard form?A number can be written in standard form to make it simpler to read. It is frequently used for extremely high or extremely low figures. Mathematics and other science fields employ the use of standard form, which is similar to scientific notation.
When a decimal number is multiplied by a power of 10, it is said to be expressed in standard form.
Similar to scientific notation, standard form represents a number as a decimal number times a power of 10. (i.e a*10^b)
From the given information:
1930.54 can be written in standard form as 1.93054 × 10³
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Which of the following are units of volume choose all the correct answers
G2 cm3 m2 kg3 cubic metre
Units of volume are cm³ and cubic meter.
What is volume?Volume is the measure of the capacity that an object holds.
A unit of volume is a unit of measurement for measuring volume or capacity, the extent of an object or space in three dimensions.
For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml.
Given units of measurement,
G² - It is not unit of volume
cm³- It is unit of volume
m² - It is not unit of volume
kg³ - It is not unit of volume
cubic meter = meter³ - It is unit of volume
Hence, cm³ and cubic-meter are units of volume.
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At Cal’s Computer Warehouse, Cal wants to know the probability that a customer who comes into his store will buy a computer or a printer. He collected the following data during a recent week: 327 customers visited the store, 196 purchased computers, 72 purchased printers, and 87 made no purchase
The percentage of No purchase is 26%, the computer is 59.9% and the printer is 22%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that he collected the following data during a recent week: 327 customers visited the store, 196 purchased computers, 72 purchased printers, and 87 made no purchase.
The percentage of No purchase is:-
P = 87 / 327
P = 26%
The percentage of computer purchases:-
P = 196 / 327
P = 59.9%
The percentage of printer purchases is:-
P = 72 / 327
P = 22%
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What is the sum of 1/2+2/4+3/8 write your answer as an improper fraction
Answer: 11/8 ( 1 3/8)
Step-by-step explanation: Look at the attachment below for the best experience. First, before we add we need to find the common denominator of the denominators (2, 4, 8) That'd be 8, because 2, 4, 8 . Look at the explanation for the best view.
x is an angle in the second quadrant with 3sinx-4cosx=5 1) write sinx in terms of cosx 2) show that cosx=-4/5 then deduce the exact value of sinx
The value of sin(x) in terms of cos(x) is √1 - cos²(x). The value of sin(x) is 3/5.
Since x is an angle in the second quadrant, sin(x) is positive and cos(x) is negative.
To write sin(x) in terms of cos(x), we can use the identity sin²(x) + cos²(x) = 1 and solve for sin(x):
sin²(x) + cos²(x) = 1
sin²(x) = 1 - cos²(x)
sin(x) = ± √(1 - cos²(x))
Since sin(x) is positive in the second quadrant, we have:
sin(x) = √(1 - cos²(x))
To show that cos(x) = -4/5, we can use the given equation:
3sin(x) - 4cos(x) = 5
We can rearrange this equation to get cos(x) on one side:
4cos(x) = 3sin(x) - 5
cos(x) = (3sin(x) - 5) / 4
Now we can substitute the expression for sin(x) that we found earlier:
cos(x) = (3√(1 - cos²(x)) - 5) / 4
Multiplying both sides by 4 and simplifying, we get:
4cos²(x) + 3cos(x) - 4 = 0
This is a quadratic equation in cos(x). We can solve it using the quadratic formula:
cos(x) = [-3 ± √(3² - 4(4)(-4))] / (2(4))
cos(x) = (-3 ± 7) / 8
cos(x) = 1/2 or cos(x) = -4/5
Since x is in the second quadrant, we have cos(x) < 0, so cos(x) = -4/5.
Finally, we can use the expression for sin(x) that we found earlier to get:
sin(x) = √(1 - cos²(x))
sin(x) = √(1 - (-4/5)²)
sin(x) = √(1 - 16/25)
sin(x) = √9/25
sin(x) = 3/5
Therefore, the exact value of sin(x) is 3/5.
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how many ways can a person toss a coin 12 times so that the number of heads is between 7 and 11 inclusive?
The number of ways can a person toss a coin 12 times so that the number of heads is between 7 and 11 inclusive is 1585.
Combinations:Combinations are methods for choosing elements from collections of objects. Unlike permutations, selection order is unimportant. The number of combinations can be counted in simpler situations.
The formula for combinations is given by
ⁿCₓ = n! /n!(n - x)!
Here we have
Number of tosses = 12 times
The number of heads is between 7 and 11 inclusive
Number of ways of getting 7 heads and 5 tails
= 12! / (7!5!) = 792
Number of ways of getting 8 heads and 4 tails
= 12!/(8!4!) = 495
Number of ways of getting 9 heads and 3 tails
= 12!/(9!3!) = 220
Number of ways of getting 10 heads and 2 tails
= 12!/ (10!2!) = 66
Number of ways of getting 11 heads and 1 tail
= 12! / (11!1!) = 12
Total number of ways = 792 + 495 + 220 + 66 + 12
= 1585
Therefore,
The number of ways can a person toss a coin 12 times so that the number of heads is between 7 and 11 inclusive is 1585.
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HELP PLEASE!!!!
(-8,7) and (-2,-3)
Answer:
Slope is -5/3
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(-8,7)[/tex] and [tex](x_2,y_2)\rightarrow(-2,-3)[/tex]:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-3-7}{-2-(-8)}\\ \\m=\frac{-10}{-2+8}\\\\m=-\frac{10}{6}\\ \\m=-\frac{5}{3}[/tex]
Consider the graph of rational function f.
Which graph represents g if g(x)=f(2x)?
The new function, g(x), will be stretched or compressed by a factor of two, making it equivalent to f(2x).
Describe a function.According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. This specific sort of relationship is thus defined.
A function called f(x) is displayed in the coordinate plane.
The formula is g(x) = f. (2x)
It is the transformation of the f, as we can see in the new function g(x) (x).
Applying transformation is done as follows:
x → 2x (x is replaced by the twice of it) (x is replaced by the twice of it)
= f(x) (x)
= f(2x) (2x)
= g(x) (x)
In the given function, the factor is 2, thus the g(x) will be stretched or compressed in accordance with that factor. When the function is multiplied by a positive number, it will be compressed or stretched vertically according to that factor.
As a result, the new function g(x), which is equal to f(2x), will be expanded or contracted by a factor of 2.
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George has obtained a $141,000 5/130-year ARM at 5%. During the first 3 years, he has an option of paying interest only. If he were to accept this offer, what would his initial payment be?
The initial payment for the first 3 years of an interest-only loan for a $141,000 5/130-year ARM at 5% would be $7050.
An ARM, or Adjustable Rate Mortgage, is a type of mortgage loan where the interest rate can change over time. The 5/1 in the loan term "5/130-year ARM" means that the initial rate is fixed for the first 5 years and can change once every year thereafter for the remaining life of the loan (in this case, 130 years).
For an interest-only loan, the borrower pays only the interest due on the loan for a set period of time, in this case, the first 3 years. The interest payment can be calculated as:
Interest payment = Loan amount * Interest rate
The loan amount in this case is $141,000 and the interest rate is 5%, so the interest payment is:
Interest payment = $141,000 * 0.05 = $7050
So, the initial payment for the first 3 years of an interest-only loan for a $141,000 5/130-year ARM at 5% would be $7050.
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Please i need a word answer fast
-Sy s 10, 3x-4y56 and 12-1 (SSCE/WAR Show on a graph the area which gives solution set of the inequalities y-2x≤4,3y+x≥6, y≥27x-9 (SSCE/WAEC)
The solution area on the graph is labeled A on the attached figure
How to determine the area on the graphFrom the question, we have the following parameters that can be used in our computation:
The inequalities y-2x≤4,3y+x≥6, y≥27x-9
Express properly
So, we have
y - 2x ≤ 4
3y + x ≥ 6
y ≥ 27x -9
next, we represent the inequalities on a graph
See attachment
The area of the solution set of the graph is labelled A
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Use the figure below to answer the following questions. Be sure to
symbols where necessary.
15. Obtuse
6.
7.
Classify 21.
Classify 22.
Classify ZABC.
8.
Name 22.
Find the value of 'x' in each of the following.
A
98°
B
BE bisects /DBC.
C
The classifications are done as follows
6. < 2 : acute angle
7. < ABC : angle on a straight line
8. < 2 = 41 degrees
9. x = 45
How to find xIn the figure, BE bisects < DBC hence < 2 = < 3 = y
98 + < 2 + < 3 = 180
y + y = 180 - 98
2y = 82
y = 41
In the figure, < WXY = 88 where the adjacent angles are
< WXZ = 4x - 3 and < ZXY = 2x + 1
4x - 3 + 2x + 1 = 88
4x + 2x = 88 + 3 - 1
2x = 90
x = 45
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