A triangle has side measures of 15,15 and 15 . Choose the term that describes the triangle .
1 . Right 2. Equilateral 3. Scalene 4. Isosceles
Answer:
Equilateral Triangle
Step-by-step explanation:
Answer:
Equilateral
Step-by-step explanation:
The Answer to this given question is a Equilateral
Reason : The sides of an equilateral triangle are congruent, which means that all sides are of equal length.
Triangle GHC is similar to triangle JKC? What is the length of GC?
The length of GC could be 7.2 when Triangle GHC is similar to triangle JKC.
What is a triangle ?
Triangle can be defined in which it contains 3 sides and 3 angles and the sum of three angles is 180 degrees .
Given
Triangle GHC is similar to triangle JKC
JK = 15
KC = 20
JC = 18
GH = 6
SO,
△GHC ~ △JKC
we know that
(GH/GC) = (JK/JC)
(6/GC) = (15/18)
GC= 6 * 18 / 15
GC = 36 / 5
GC = 7.2
Hence , the length of GC could be 7.2 when Triangle GHC is similar to triangle JKC.
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In the figure above, segment BC is 4 units long, segment CD is 8 units long, and segment DE is 6 units
long. What is the length of segment AC?
6 is the length of segment AC in right-angled triangle .
What is a right-angle triangle, exactly?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.
Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
let length of AC is x
BC + CD = AC + DE
4 + 8 = X + 6
12 = X + 6
X = 6
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4/7 = 12/g 21 15 24 3
Answer:
4/7 = 12/g cannot be true, as the numbers on the right side of the equation are not related to the numbers on the left side of the equation and cannot be used to solve for the variable "g".
The correct way to solve for the variable in an equation like this is by cross-multiplying and simplifying the equation.
4/7 = 12/g
multiply both sides by 7g
4*g = 12
Divide both sides by 4
g = 3
So in this case the value of g is 3, but the given numbers 21 15 24 3 are not related to this equation.
Step-by-step explanation:
Answer:12/21
Step-by-step explanation:
cross-multiply 4/7 = 12/g so 4g = 84 . 4 x3 =12 7x3=21 So the answer is 12/21.
Find the indicated side of the
triangle.
7
a
b
45°
a = [?]
Enter
Answer:
[tex]a=7[/tex]
Step-by-step explanation:
The legs of an isosceles right triangle are congruent.
The Pythagorean Theorem may be used to calculate the length of side a: [tex]a^{2}[/tex] = 72 + [tex]b^{2}[/tex] = 49 + [tex]b^{2}[/tex]. When we solve for a, we obtain a = (49 + [tex]b^{2}[/tex]). As a result, the length of side an equals the square root of 49 multiplied by the square of side b.
What is Pythagorean Theorem?The Pythagorean Theorem is a mathematical equation that asserts that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle is equal to the sum of the squares of the other two sides. The Pythagorean Theorem is stated in equation form as [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where a and b are the lengths of the triangle's legs (the two sides that meet at a right angle) and c is the length of the hypotenuse.
In the given question,
a = 7 * sin(45°)
= 7 * 0.707
= 4.949
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rkKeys 34 134 134 Your development company recently purchased 12.5 acres of land. According to local regulations, each housing lot must be at least 54, 450 square feet. In a of the purchased land must be left undeveloped. What is the maximum number of housing lots that you can develop on the land? A C 10 11 D. 13 18 A ; for Review & Tools a O Contrast 은 * Clear Highlights ? Help (H) n Text To Speech « Prev TAO Software 3.4.0-sprint140 © 2013-2023 by Open Assessment Technolo DOLL 3 $ 4 % 5 € ∞♪ g y h u k b m
Price divided by size is the formula for calculating the price per square foot (in square feet). For instance, if a 2,000-square-foot property is being sold for $300,000, the price per square foot would be $150 if you took the overall price and divided it by the size.
What do you mean by rectangular area?
A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.A shape called a quadrilateral has two opposing sides that are equal and parallel. It is a four-sided polygon with four 90-degree angles. Rectangles have a two-dimensional form.The area of a rectangle is the region contained by its four sides or boundaries.This is how the whole process occurs in a company which recently purchased 12,5 acres of the given land.To know more about rectangular area here
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Plsss I need help I can’t fail algebra I don’t even need an explanation I just need the answers
The function is A = 120[tex](1.016)^{4t}[/tex] and the balance after 6 years is $175.64.
What is compound interest?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Here the principal = $120
Rate of interest = 6.4% = 6.4/100 = 0.064C. Then,
Now using compound interest formula then,
Amount A = P[tex](1+\frac{r}{n} )^{nt}[/tex]
Here n=4 compound quarterly
A = 120[tex](1+\frac{0.064}{4} )^{4t}[/tex]
=> A= 120[tex](1+0.016)^{4t}[/tex]
=> A = 120[tex](1.016)^{4t}[/tex]
The function is A = 120[tex](1.016)^{4t}[/tex]. Now years t = 6 then
=> A = A = 120[tex](1.016)^{4*6}[/tex] = 120[tex](1.016)^{24}[/tex]
=> A = $175.64
Hence the function is A = 120[tex](1.016)^{4t}[/tex] and the balance after 6 years is $175.64 .
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what number can divide 153 and 48. 50 points will.amrk as brainliest
Answer:
3
Step-by-step explanation:
3 can divide both 153 and 48
Tamika and her friend sold their old toys at a yard sale earning x dollars. Tamika had to pay her parents back the $25 they gave her for making change. She then divided the rest of the money between her and her friend. What algebraic expression can you write for this scenario? Explain what each term means in regards to this scenario.
The algebraic expression that she can use to represent the scenario would be = $x-25/2
What is algebraic expressions?Algebraic expression is defined as the expression that can be used to represent a constant algebraic number, variables, and the algebraic operations.
The amount of money Tamika and her friend sold their old toys= X dollars
The amount of money that Tamika had to pay back to her parents = $25
Therefore the remaining amount = X - 25
The amount of money that she divided between her friend and her = $ x-25/2
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Families that attended a concert featuring music from the early 1900s were surveyed
about which type of music from the concert they preferred. The table shows the results
of the survey. What percent of the children surveyed preferred ragtime music?
30%
Adults
Children
Total
60%
Concert Music Preferred
Blues
15
6
21
Jazz
14
36
50
89%
Ragtime
11
18
29
Total
40
60
100
18%
Answer:
30%
Step-by-step explanation:
Given table:
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} & \sf Jazz&\sf Blues & \sf Ragtime & \sf Total\\\cline{1-5} \sf Adult & 14& 15&11 & 40\\\cline{1-5} \sf Children &36 &6& 18& 60\\\cline{1-5} \sf Total &50 &21 &29 & 100\\\cline{1-5}\end{array}[/tex]
From observation of the table:
The number of children that preferred ragtime music is 18.The total number of children is 60.To find the percent of the children surveyed that preferred ragtime music, divide the number of children that preferred ragtime music by the total number of children:
[tex]\begin{aligned}\implies \sf Percent&=\dfrac{\sf Children\;who\;preferred\;ragtime}{\sf Total\;children}\\\\&=\dfrac{18}{60}\\\\&=\dfrac{18 \div6}{60\div 6}\\\\&=\dfrac{3}{10}\\\\&=\dfrac{3 \times 10}{10 \times 10}\\\\&=\dfrac{30}{100}\\\\&=30\%\end{aligned}[/tex]
Write a mixed number for t so that 2 3/4 X is more than 2 3/4
Answer: it will be improper
Step-by-step explanation:11/4
Answer:11/4
Step-by-step explanation:it is improper.
140-100
Need help with this maths
40
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Please answer Asap. Math algebra 2
Answer:
Domain: [0, ∞)
Range: [√5, ∞)
Step-by-step explanation:
Find the domain by finding where the piecewise is defined. The piecewise range is the set of values that correspond with the domain.
Domain: [0, ∞)
Range: [√5, ∞)
hope that helps...
59) When scrap iron in a boat is thrown overboard in a swimming pool, the pool level
A) rises.
B) falls.
C) remains unchanged.
As rain drop and sink through the rock, it often solvates some of the iron. It conveys that iron along with it as it continues to seep through the rock and soil.
When the rainwater becomes groundwater or dart into freshwater sources like lakes and rivers, it may become the part of the local water supply.
Municipal water systems that get their water from these sources can end up with high levels of iron in their water, and the riddle they have set up to remove bacteria and other harmful contaminants may not always riddle it out.
Wells that portray water from aquifers with high iron content may contain high iron concentrations as well.
Iron in water generally takes two types of ferrous iron, which is soluble in water, and next one is ferric iron, which is insoluble.
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Researchers routinely chose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations you might accept a higher level (e.g., 0.1)?
Researchers frequently select a level of significance of 0.05. The reason for this is that if we chose a lower threshold of significance, we will have less room to reject the null hypothesis and so a higher likelihood of making a type 2 error.
On the other hand, if the degree of significance is higher, more type 1 errors are made, leading us to reject the hypothesis even though it is correct. Therefore, 0.05 is a balanced level that is neither significantly greater nor significantly smaller. The health care and nutrition-related industries are mostly included in some of the studies where we require a lower level of importance. This type of industry has a higher error rate, which causes more fatalities and negative side effects.
We can use a higher level of relevance in a variety of circumstances, such as the entertainment and marketing-related industries. The reason for this is that even if there are more potential for error, it won't harm the person; instead, it just affects the information, which we can assess using common sense.
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Two angles are complementary to each other. One angle measures 18°, and the other angle measures (8x − 28)°. Determine the value of x.
Answer:
Step-by-step explanation
since they are complementary their angles should add up to 90.
18+(8x-28)=90
you solve from there
add common values
8x-10+90
add 10 to both sides
8x=100
divide by 8
x=12.5
The answer is:
x = 12.5Work/explanation:
Since we're given both angles, we can set up an equation and find x.
The sum of two complementary angles is 90°.
Now, set up the equation:
[tex]\sf{8x-28+18=90}[/tex]
[tex]\sf{8x-10=90}[/tex]
Add 10 on each side
[tex]\sf{8x=100}[/tex]
Divide each side by 8
[tex]\sf{x=12.5}[/tex]
Hence, x = 12.5A man crosses a distance of 48 meters while going round a quadrilateral field twice. What will be the cost of fencing the field at the cost $1.75 per meter?
A man crosses a distance of 48 meters while going round a quadrilateral field twice. For 24 m cost of fencing the field is $42.
What is perimeter?The circumference of an object is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet. P = length + breadth + length + breadth is the equation for a rectangle's perimeter. Add the lengths of the four corners of a rectangle to find its perimeter. You can quickly locate all four sides if you only know the width and height (two sides are each equal to the height and the other two sides are equal to the width). Add the outcomes after dividing the height and breadth by two.Perimeter of the field is the total lengths of its boundary = 48/2 m = 24 m
For 1 m, cost of fencing the field = $1.75
Therefore, for 24 m cost of fencing the field = $(1.75 × 24) = $42
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58
n 8: Notes
potes
Name
2.
JuliAN A.
A plant's height is proportional to
the number of days since it was
purchased. On Day 6, it was 3 inches
tall.
1.
Add more points to the graph to
represent the plant's height on
other days.
Height of a Plant (in.)
1
5
(63)
5
10
Days Since Purchased
Should the origin, (0, 0), be included in this relationship?
Why or why not?
The height define how long the attribute is and the width specify about the breadth of the attributes.
What is height?Height is defined in mathematics as the vertical distance separating an object's top from its base. On occasion, it is referred to as "altitude". In coordinate geometry, an object's height is calculated along the y-axis and is referred to as height.height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it. height refers to something measured vertically whether high or low.Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position (how "high" a point is). For example, "The height of that building is 50 m" or "The height of an airplane in-flight is about 10,000 m".Height is a common body measurement typically measured in feet (ft) + inches (in) in the United States and centimeters (cm) elsewhere. These are length measurements, so the SI unit would be meters. Keep in mind that x feet + y inches is commonly denoted as x' y“.
Given:
Arty's height is 63 inches.
Suppose Julian's height is x inches.
As Arty's height is 3 inches less than 1.5 times Julian's height.
⇒ 1.5x - 3 = 63
1.5x = 63 + 3
1.5x = 66
x = 44
Hence, the Julian's height is 44 inches.
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4 . If there were 8657 total votes, how many yes votes were there?
Answer:
5509 yes votes
Step-by-step explanation:
We will start by adding together our ratio, so we know how many voters there were in a total ratio, so we can divide our total number of people by it, and then multiply it by the number of people who said yes (7 people).
Our ratio was 7:4, so adding those two numbers together gives us 11. Then, dividing 8657 by 11 gives us:
8657 / 11 = 787
Now, we will multiply 787 by 7, since that was the number of people who said yes:
787 * 7 = 5509
So, there were 5509 yes votes.
Hope this helped!
Which equation could be used to find the missing side of the triangle shown?
10 m
am
5 m
O a² +52
10²
O 5² + 10² a²
O2 (5) +2 (10) = 2a
O a² + 10² 5²
=
O a² + 10² 5² =25 + 100 =2a ,2a=125 , a=\sqrt{125} , a=11.18 m
Therefore, the missing side (a) is 11.18 m.
Calculate the missing side (a) of the triangle
We are trying to find the missing side (a) of the triangle shown in the diagram.
To do this, we will use the Pythagorean Theorem, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side.
The two shorter sides of the triangle are 5 m and 10 m.
We will use the Pythagorean Theorem to calculate the missing side (a).
First, we need to square the lengths of the two shorter sides:
5² = 25
10² = 100
Next, we add the squares of the two shorter sides together:
25 + 100 = 125
Finally, we take the square root of the sum to find the length of the missing side:
√125 = 11.18 m
Therefore, the missing side (a) is 11.18 m.
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Pedro and Bella are reading the same book for their language-arts class. On Saturday, Pedro starts the day at page 20 and reads at an average rate of 25 pages per hour. Bella starts reading at the same time, but she starts at page 60 and reads at an average rate of 18 pages per hour.
Answer: If Pedro starts reading at page 20 and reads at an average rate of 25 pages per hour, and Bella starts reading at the same time but starts at page 60 and reads at an average rate of 18 pages per hour,
We can use the formula: distance = rate x time
To find out when they will meet we need to find out when they are on the same page.
let's say t be the time in hours, Pedro will be reading t25 pages, and Bella will be reading t18 pages.
So we can write the equation: 20+t25 = 60+t18
Solving this equation we get t = 2
So, they will meet after 2 hours.
Pedro will be on page 20+225 = 70, and Bella will be on page 60+218 = 96
So they will meet at page 70 when Pedro reaches that page after 2 hours of reading, which means Bella will have read 26 pages more than Pedro on that point.
Step-by-step explanation:
Suppose we randomly select a coffee drinker. Let C be
the event that the coffee drinker uses cream and S be
the event that the coffee drinker uses sugar.
What is the probability that a randomly selected coffee
drinker does not use sugar or cream?
What is the probability that a randomly selected coffee
drinker uses sugar or cream?
Answer:
0.10 and 0.90 are the correct answers.
Step-by-step explanation:
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Select three options. 0.5(x)(x + 2) = 24 x(x + 2) = 24 x2 + 2x – 24 = 0 x2 + 2x – 48 = 0 x2 + (x + 2)2 = 100
There are only three correct equations for the area of the right triangle which are:
0.5(x)(x + 2) = 24x² + 2x - 48 = 0x² + (x + 2)² = 100.Area of a triangleThe area of a triangle is calculated by dividing the product of the base and height of the triangle.
base of the triangle = x
height of the triangle = x + 2
area of the triangle = 1/2(x)(x + 2)
so
1/2(x)(x + 2) = 24...(1)
1/2 is also 0.5, so the equation 0.5(x)(x + 2) = 24 is correct.
by cross multiplication, equation (1) becomes;
x(x + 2) = 48
x² + 2x = 48 {expand the left hand side}
x² + 2x - 48 = 0 {subtract 48 from both sides}
so the equation x² + 2x - 48 = 0 is correct.
Considering the last equation, x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4 {collect like terms}
2x² + 4x = 96 {divide through by 2}
x² + 2x = 48
x² + 2x - 48 = 0
so the equation x² + (x + 2)² = 100 is equivalent to the equation (1) and so is also correct.
Therefore, the equations 0.5(x)(x + 2) = 24, x² + 2x - 48 = 0, and x² + (x + 2)² = 100 are correct and can be used to find the length of sides for the right triangle.
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Drag each object to show whether cost is proportional to area in the situation represented.
Since the points on this graph represent a relationship between x- and y-values, a statement about the relationship which is true include the following: A, it cannot be proportional because the straight line through the points does not go through the origin.
What is a proportional relationship?In Mathematics, the graph of any proportional relationship between two (2) variables is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.
By critically observing the graph which shows a relationship between the x-values and y-values, we can logically deduce that it does not start from the origin (0, 0) and as such, it does not represent a proportional relationship.
In this context, we can reasonably infer and logically conclude that cost is not proportional to area in the situation represented by this graph.
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The population of a town increased from 3600 in 2007 to 4700 in 2011. Find the absolute and relative (percent) increase.
1100 Absolute is a 30.55% increment relative percent
To find an Increment percentage in population we need the Number of increases in population.
4700- 3600 = 1100
That is absolutely increased number.
For relative increment, we need to find the Percentage -
Increment Percentage = (value / total value) * 100%so the population in 2007 was 3600
so percentage = 1100/3600*100
=> 30.55%
SO Relative increase = 30.55%
Here we can see that percent is the way to analyze the change, Increment/decrease in terms of 100 as it multiple the fractional changes in quantity by 100 to make it out of 100. So percentage simply means out of 100.
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Compute the Laplace transforms, F(s), of the functions f(t) below f(t) - e8 sin 5 t F(s) =
f(t) - eSt sinh 7t F(s) = f(t)-7t cosh 5t F(s)= (t) = 9t sin ut . Fu(s)
To compute the Laplace transform of a function, we use the integral definition , F(s) = L{f(t)} = ∫ f(t) e^(-st) dt.
What is integral definition ?
The integral definition of the Laplace transform is a mathematical method used to find the Laplace transform of a function. It is defined as,
F(s) = L{f(t)} = ∫ f(t) e^(-st) dt , Where F(s) is the Laplace transform of the function f(t), s is a complex variable known as the frequency domain variable, and t is the time domain variable.
Given the functions f(t) provided ,
f(t) = e^(-8t)sin(5t)
F(s) = L{e^(-8t)sin(5t)} = ∫ e^(-8t)sin(5t) e^(-st) dt = (5/(s+8+5i))(e^(-8-s)) - (5/(s+8-5i))(e^(-8-s))
f(t) = e^(-st)sinh(7t)
F(s) = L{e^(-st)sinh(7t)} = ∫ e^(-st)sinh(7t) e^(-st) dt = (7/(s^2+49))(e^(-s-7i)) - (7/(s^2+49))(e^(-s+7i))
f(t) = -7t cosh(5t)
F(s) = L{-7t cosh(5t)} = ∫ -7t cosh(5t) e^(-st) dt = (-7/s^2)(e^(-s-5)) - (7/s^2)(e^(-s+5))
f(t) = 9t sin(ut)
F(s) = L{9t sin(ut)} = ∫ 9t sin(ut) e^(-st) dt = (9/(s^2 + u^2))(e^(-su)) - (9/(s^2 + u^2))(e^(su))
Note that in all cases, we should check if the integral converges, and that the limits of integration are appropriate.
To compute the Laplace transform of a function, we use the integral definition , F(s) = L{f(t)} = ∫ f(t) e^(-st) dt.
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The methods of statistics follow a process. Place the processes in the correct order:
Identify the research objective, Perform interference, Describe the data, Collect the data needed to Answer Research question
The order for the process of Statistcal Method will be Identify the research objective, Collect the data needed to Answer the Research question, Describe the data, and Perform Inference.
For any statistics method, we first must have an objective as to why are we conducting that research. Hence the first process has to be Identifying the research objective.
For any statistical method, samples need to be drawn to conduct statistic tests. This essentially requires data to work with. Hence, Collecting the data needed to Answer the Research question must be the next step.
After data is collected, numerous tests are possible to be performed on any set of data but to select the most appropriate statistic, we need to first understand the nature, range, and limitations of the data. Hence, the net step should be to describe the data.
The last step out of the available step would be to perform the inference since this is the only other step possible from the ones mentioned.
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140,100,71.4, ,36.44 what is the missing number
The required missing number is 51.02
What is a geometric progression?Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar2, ar3, ar4, ar5, .....
Given here the numbers 140,100,71.4, ,36.44
clearly 140/100=100/71.4=1.4
Thus the given set of numbers form a geometric progression with common ratio 1.4
Therefore the complete set of numbers are 140,100,71.4,51.02,36.44
Hence, the required numbers is 51.02
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What is the fewest number of regions that three lines can separate a plane into? Describe the configuration of lines that gives you this many regions.
As long as they are not all on the same line, three points can define a plane in a three-dimensional space.
How many different numbers of regions can three lines divide a plane into?Intersecting Space with Planes A plane just divides space into two distinct regions. Space is divided into a maximum of four sections by two planes. Space can only be divided into eight sections by three planes.
One line has the ability to split a plane into two regions; two non-parallel lines have the ability to divide a plane into four regions; three non-parallel lines have the ability to divide a plane into seven regions; and so on.
Four unique, nonintersecting zones can be created by selecting three separate points on a circle and connecting each pair of them with a chord.
Three points can define a plane in a three-dimensional space as long as they are not all on the same line.
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One line can divide a plane into two regions, two non-parallel lines can divide a plane into 4 regions and three non-parallel lines can divide into 7 regions.
What is the maximum number of regions can divide a plane?The maximum number Ln of regions in the plane that can be defined by n straight lines in the plane is: Ln=n(n+1)2+1. This sequence is A000124 in the On-Line Encyclopedia of Integer SequenceOne line can divide a plane into two regions, two non-parallel lines can divide a plane into 4 regions and three non-parallel lines can divide into 7 regionsIf three planes meet pairwise in three parallel lines they create 7 regions. A plane not parallel to these lines doubles the number of regions, a plane parallel to them creates at four more regions. Thus all triples of planes meet in one pointAn infinite number of regions can be formed in a circle by the number of chords of the circle. How many regions can be formed by a circle and two chords? There are two options for a circle and two chords, depending on whether the chords intersect or not.
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what is the value of the numerical expression 5/8-(3-1/4)+2/3
Answer:
-35/24
Step-by-step explanation:
5/8 - (3 - 1/4) + 2/3 =
Distribute the negative sign to 3 and -1/4. When a negative sign is distributed to a negative number, that number becomes positive:
- (3 - 1/4) ==> -3 + 1/4
5/8 - 3 + 1/4 + 2/3 =
Now multiply the equation by 24/24 = 1. Multiplying anything by 1 results in the same equation. For example, 8 * 1 = 8.
Also multiply the equation by 24/24 because 24 is the LCM (Least Common Multiple) of the denominators 8, 4, and 3: 8*3=24. 6*4=24.
(5/8 - 3 + 1/4 + 2/3) * 24/24 =
(5*24/8 - 3*24 + 1*24/4 + 2*24/3) / 24 = ==> multiply each term by 24 and
divide the entire expression by 24
(120/8 - 72 + 24/4 + 48/3) / 24 = ==> simplify
(15 - 72 + 6 + 16) / 24 =
(-57 + 22) / 24 = -35/24
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The value of the numerical expression 5/8 - (3 - 1/4) + 2/3 is -35/24.
What is an expression?When used to represent a quantity or a mathematical relationship, symbols and numbers are combined to form an expression in mathematics. It may contain exponents, brackets, variables, constants, and mathematical operations like addition, subtraction, multiplication, and division.
To simplify the expression 5/8 - (3 - 1/4) + 2/3, we need to follow the order of operations (also known as PEMDAS):
First, we need to simplify the expression inside the parentheses (3 - 1/4):
3 - 1/4 = 12/4 - 1/4 = 11/4
Next, we need to subtract 11/4 from 5/8:
5/8 - 11/4 = 5/8 - 22/8 = -17/8
Finally, we need to add 2/3 to the result:
-17/8 + 2/3
To add these two fractions, we need to find a common denominator. The least common multiple of 8 and 3 is 24, so we can rewrite the fractions with a denominator of 24:
-17/8 + 2/3 = (-51/24) + (16/24) = -35/24
Therefore, the value of the numerical expression 5/8 - (3 - 1/4) + 2/3 is -35/24.
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