The circumcenter and Incenter of a triangle can be found this way :
Finding the incenter
The junction of a triangle's three angle bisectors is where you may locate its incenter. The incenter has an intriguing attribute as a result of its position: it is equally removed from each of the triangle's three sides. This feature is unique to this point. Like centroids, incenters are always contained within their triangles.
Two triangles are depicted in the above image along with their incenters and incircles (circles drawn inside the triangles so the circles barely touch the sides of each triangle). The incircles' centers are known as the incenters. (If you want to fit in with the in-crowd, don't talk about this "in" stuff too much.)
Finding the circumcenter
The point where the perpendicular bisectors of the triangle's sides meet is the triangle's circumcenter. Due to its position, the circumcenter has an intriguing property: it is equally removed from each of the triangle's three vertices.
In the illustration above, two triangles are shown along with their circumcenters and circumcircles (circles drawn around the triangles so that they pass through the vertices of each triangle). The centers of the circumcircles are known as the circumcenters.
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help me i dont get this at all
Answer: 18
D
Step-by-step explanation:
The constant of proportionality is y/x, not x/y, which is what your friend found.
X= 1
y=18
18/1=18
Annika is comparing two companies based on the costs for renting a bike for the . Company A charges a $20 rental fee plus $4.50 the bike is rented. Company B charges a 9 rental fee plus $6.50 per hour the bike is rented.
Answer:
depends on how long u need it for
Step-by-step explanation:
0 x ≤-21
0 x ≤21
0 x ≤-15
0 x ≤15
21. 2z>-28 (I point)
O z>-56
O z>-14
O z<-14
O z<14
Answer: [tex]z > -14[/tex]
Step-by-step explanation:
Divide both sides by 2.
The sum of two numbers is 66. Two times the lesser number is 15 more than the greater number. What are the numbers
If x is a lesser number, the equation is
Answer:
See below!
Step-by-step explanation:
Let the two numbers be x and y
Condition # 1:x + y = 66 ----------------(1)
Condition # 2:2x = y + 15
2x - y = 15 ---------------(2)
Add both equations
x + y + 2x - y = 66 + 15
x + 2x = 66 + 15
3x = 81
Divide both sides by 3
x = 27Put x = 27 in Eq. 1
27 + y = 66
Subtract 27 to both sides
y = 66 - 27
y = 39[tex]\rule[225]{225}{2}[/tex]
What are the 7 types of triangles?
The 7 names of triangles:
Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,
Right triangle, Obtuse triangle
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Equiangular triangle: All angles are equal.
Acute triangle . . . all three angles are less than 90°
Right triangle . . . one angle is 90°
Obtuse triangle . . . one angle is greater than 90°
Equilateral triangle . . . all three sides are the same length
Isosceles triangle . . . two sides are the same length
Scalene triangle . . . all three sides are different lengths
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The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 3.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 41 randomly selected calls. The mean wait time was calculated to be 3.94 minutes. Assuming the population standard deviation is 1.30 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes with a 95% level of confidence?
Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
The value of the test statistic is given as follows:
z = 2.17.
There is sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes.
How to obtain the value of the test statistic?The value of the test statistic is obtained using the z-distribution, as the population standard deviation is known in the context of this problem.
The equation that gives the test statistic is given as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which the parameters of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value claimed at the test of the hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In the context of this problem, the values of these parameters are given as follows:
[tex]\overline{x} = 3.94, \mu = 3.50, \sigma = 1.30, n = 41[/tex]
(all values are taken from the text).
Then the numeric value of the test statistic is obtained as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.94 - 3.50}{\frac{1.30}{\sqrt{41}}}[/tex]
z = 2.17.
There is sufficient evidence to say that the mean wait time for customers is longer than 3.50 minutes, as the critical value for the right-tailed test with 95% confidence is of z = 1.645, and the test statistic is greater than this.
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After a 20% discount, you purchase a television for $240. What was the television's
price before the reduction? (Define a variable, create an equation, solve using algebra,
and answer in a sentence.)
===========================================
Work Shown:
x = price of the TV before the discount
20% of x = 0.20x = discount, aka amount saved
x - 0.20x = 0.80x = price after discount
0.80x = 240
x = 240/0.80
x = 300
The TV was $300 before the discount.
-------------
Check:
20% of 300 = 0.20*300 = 60 dollars is the amount saved
300-60 = 240 is the price after the discount, which matches the given info. The answer is confirmed.
Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
problem A: What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
Problem B: What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
problem C: What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green?
problem D: Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.
The probability for each event are
[A] - 36/1320
[B] - 36/1320
[C] - 36/1320
[D] - The probability doesn’t change in any order.
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
We have Chelsey who puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
[A] -
{3/12} x {3/11} x {4/10} =
36/1320
[B] -
{3/12} x {4/11} x {3/10}
36/1320
{C} -
{4/12} x {3/11} x {3/10}
36/1320
D) The probability doesn’t change in any order.
Therefore, the probability for each event are -
[A] - 36/1320
[B] - 36/1320
[C] - 36/1320
[D] - The probability doesn’t change in any order.
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Look at the pattern.
72, 67, 62, 57
Which of these is the rule for the pattern?
a
b
d
subtract 5
add 5
subtract 9
add 9
Answer:
Subtract 5
Step-by-step explanation:
72 , 67, 62, 57,..
Each term is obtained by subtracting 5 from the previous term.
72 - 5 = 67
67 - 5 = 62
62 - 5 = 57
According to a disease control center, 35% of people in a certain country have high blood pressure. If a person in this country is selected at random, determine the odds in favor of this person having high blood pressure. The odds are? _:_
Answer:
7 : 13
Step-by-step explanation:
If 35% of people have high blood pressure, you want the odds in favor of a randomly chosen person having high blood pressure.
OddsThe odds ratio is the ratio of favorable to unfavorable outcomes:
high blood pressure : not high blood pressure = 35% : 65% = 7 : 13
Solve for m.
-m = 66
m =
Answer:
m = -66
Step-by-step explanation:
-m = -1m
-m = 66 ⇒ -m/-1 = 66/-1 ⇒ m = -66
Question 3: Multiply: 0.33.10⁵
330
330000
33000
3300
Answer:
33,000
Step-by-step explanation:
0.33 x 10^5 is 33,000
which calculation produces the smallest value
After simplification, 6×1.5 calculation produces the smallest value.
In the given question we have to find which calculation produces the smallest value.
A) 6×1.5
Now multiply 6 with 1.5. We get;
9.0
B) 25/3
Divide 25 by 3. We get;
8.33
C) 1.25×8
Multiply 1.25 with 8. We get;
10
D) 38/4
Divide 38 by 4. We get;
9.5
Hence, 6×1.5 calculation produces the smallest value.
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The right question is:
Which calculation produces the smallest value?
A) 6×1.5
B) 25/3
C) 1.25×8
D) 38/4
II. Write each improper fraction as a mixed number and each mixed number as a improper fraction 23/5 20/12 3 3/4 4 7/15 18/8 45/18 8 3/10 1 11/12
Answer: 23/5 = 4 3/5
20/12 = 1 8/12 = 1 2/3
3 3/4 = 15/5
4 7/15 = 67/15
18/8 = 2 2/8 = 2 1/4
45/18 = 2 9/18 = 2 1/2
8 3/10 = 83/10
1 11/12 = 33/12
Step-by-step explanation:
Graph -7x+5y=35−7x+5y=35minus, 7, x, plus, 5, y, equals, 35.
Answer:
835786543225644323567
How do you determine if a function has a vertical asymptote or removable discontinuity?
The discontinuity exists irremovable at a given place if the limit will not exist there. On the other hand, if changing a function's value at a particular point of discontinuity results in a linear combination, that location is referred to as the detachable discontinuity.
A graph's vertical asymptote would be a vertical line with the equation x = a, in which the chart tends to positive or negative infinity even as inputs go closer to a.
A vertical line that appears to coincide with such a function's graph but doesn't really cross the curve was known as a vertical asymptote.
Whenever the two-sided limit at c exists but is still not equal to f, the discontinuity is said to be detachable at that point (c). These kinds of discontinuities could be discovered by looking for independent uncertain parameters which are zeros for denominator components that were also numerator components in the provided function.
By finding the solution to the equation n(x) = 0, where n(x) represents the denominator of the function, one can find the vertical assumptote.
Simply locate a vertical line where a section of the curve was parallel as well as very close if you want to determine the constant slope from either the graph of a function.
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please help!
Jocelyn has a points card for a movie theater.
She receives 25 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits Jocelyn can make to earn her first free movie ticket.
Answer:
25 + 12.5v ≤ 170
Step-by-step explanation:
the volume of a rectangular prism is x44x33x28x4
The volume of rectangular prisms is 40656.
Volume is generally defined as the amount of space that a substance or object occupies, or that is enclosed within a container.
The the formula V = Lwh used for calculation of the volume of rectangular prisms.
Where, the L represents the length of the rectangular prism
the W represents the width of the rectangular prism
the H represents the height of the rectangular prism.
The volume is the product of length width and height.
Volume = 44 x 33 x 28 = 40656
Therefore, the volume of rectangular prisms is 40656
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I need help on this Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
{3, 4, 6, 7, 8}
Step-by-step explanation:
For sets U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 5, 6}, and C = {1, 2, 3, 4, 5}, you want the set {A∩C}'.
A∩CThe set A∩C contains the elements that are common to both sets. Those are {1, 2, 5}.
{A∩C}'The set of interest contains the elements of U that are not in A∩C. Those are ...
{3, 4, 6, 7, 8}
__
Additional comment
DeMorgan's theorem tells us the desired set is equivalent to A'∪C', or {3, 4, 7, 8}∪{6, 7, 8}. That, too, is ...
(3, 4, 6, 7, 8}
What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−7^)2+11?
Enter your answer as the correct equation, like this: x = 42
Answer:
x = 7
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]
Given equation:
[tex]y=-2(x-7)^2+11[/tex]
The given equation is in vertex form.
The axis of symmetry of a parabola with a vertical axis of symmetry is:
x = hwhere h is the x-value of the vertex.
As the vertex of the given equation is (7, 11), the axis of symmetry is:
x = 7If −2≤f(x)≤5 on [−1,3] then find upper and lower bounds for ∫−13f(x)dx
Answer:
Answer is attached as a photo. I will be honest I am not familiar with a calculus problem being set up that way. I am guessing that is what they are looking for...
Step-by-step explanation:
The upper bound of the given function is 20 while the lower bound of the given function is -8.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
-2 ≤ f(x) ≤ 5
At the upper bond, f(x) = 5
[tex]\int\limits^{3}_{-1} {f(x)} \, dx[/tex] = [tex]\int\limits^{3}_{-1} {5} \, dx[/tex]
⇒ 5(3 + 1) = 20
At the lower bond f(x) = -2
[tex]\int\limits^{3}_{-1} {f(x)} \, dx=\int\limits^{3}_{-1} {-2} \, dx[/tex]
⇒ -2(3 + 1) = -8
Hence "The upper bound of the given function is 20 while the lower bound of the given function is -8".
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WHAT WILL YOU WEAR?
You are getting ready for Thanksgiving dinner and trying to find the perfect outfit. You want to wear your new sweater from Infinity21. The manufacturer advertises that this sweater is most comfortable to wear when the temperature satisfies |t-56| ≤6 degree: Fahrenheit. The weaather report says it will be 53°F on Thanksgiving Day at mealtime.
Can you wear your new sweater comfortably?
By solving a linear inequation, it can be concluded that
The sweater can be worn comfortably
What is a linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > . < , ≤, ≥
A one degree inequation is known as linear inequation.
Here, the given linear inequation is
[tex]|t - 56| \leq 6\\t - 56 \geq -6 \ or \ t - 56 \leq 6\\t \geq 56 - 6 \ or \ t \leq 56+6\\t \geq 50 \ or \ t \leq 62\\50 \leq t \leq 62[/tex]
As 53° F lies between 50 and 62, the sweater can be worn comfortably
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A recipe for flapjacks uses only syrup, butter and oats, in the ratio 1: 2: 3
a) Trevor makes some flapjacks using this recipe and uses 200g of syrup.
(i) What quantity of butter should he use? _________g
(ii) What quantity of oats should he use? _________g
b) Using this recipe, 150g of syrup are needed to make 8 flapjacks. Find the quantity of oats needed to make 16 of these flapjacks.
Answer: _____g
By using Unitary method, it can be calculated that
a) Quantity of butter Trevor uses = 200 [tex]\times[/tex] 2 = 400 g
Quantity of oats Trevor uses = 200 [tex]\times[/tex] 3 = 600 g
b) 900 g of oats is required to make 16 flapjacks
What is Unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
Here Unitary method will be required
a) Let Trevor use x g Syrup, 2x g butter and 3x g oats
Trevor uses 200 g syrup
So x = 200
i) Quantity of butter Trevor uses = 200 [tex]\times[/tex] 2 = 400 g
ii) Quantity of oats Trevor uses = 200 [tex]\times[/tex] 3 = 600 g
b) To make 8 flapjacks 150 g of syrup is used
To make 1 flapjack [tex]\frac{150}{8}[/tex] g of syrup is used
To make 16 flapjacks [tex]\frac{150}{8} \times 16[/tex] g of syrup is used
To make 16 flapjacks 300g of syrup is used
To make 16 flapjacks 300 [tex]\times[/tex] 3 g of oats is used
To make 16 flapjacks 900 g of oats is used
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-18-18 Swap sides variables are on the 1eft and
changes sign direction. Please help me graph answer x2>-18 thanks
The graph of the expression x² > -18 does not exist
How to determine the graph of the expression?From the question, we have the following inequality expression that can be used in our computation:
x2 > -18
This expression can be rewritten properly
So, we have the following representation
x² > -18
Next, we take the square roots of both sides of the expression
This gives
√x² > √-18
Evaluate the exponents
So, we have
x > 3√-2
The radical is a complex number
This means that the inequality expression cannot be graphed (because of the presence of the complex expression)
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Volunteers are folding pamphlets. The time it takes to fold the pamphlets varies directly with the number of pamphlets and inversely as the number of volunteers working. If it takes 4 volunteers 2 hours to fold 400 pamphlets, how long would it take 5 volunteers to fold 600 pamphlets?
Answer:
2 hours and 24 minutes
Step-by-step explanation:
If each worker does 100 each hour than 5 workers do 500 in 2 hourse leaving 100 left so then you 2 hours aka 120 minutes divided by 5 = 24 so it all adds to be 2 hours 24 minutes
what are the 12 kinds of polygons
The 12 kinds of polygons are:
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Hendecagon
Dodecagon
Tridecagon
Tetradecagon
Polygons:
A polygon is a closed shape figure that has a minimum of three sides and three vertices.
Poly → many
gon → angle
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Question 4
1 pts
Katherine wants to fence in her 25 by 25 foot yard using wooden split rail fencing. She
does not need any fence along the side of the yard that has her house.
What will the total cost of the fencing be if wooden split rail fencing costs $85 for every
8 feet?
Answer:
$531.25
Step-by-step explanation:
The total length of fence required is given by the perimeter of a square:
[tex]P=2l+2w\\l=25ft\\w=25ft\\P=2(25ft)+2(25ft)\\P=50ft[/tex]
Since the price is per 8 foot unit of fencing:
[tex]\frac{50ft}{8ft}=6.25units[/tex]
Each unit will cost $85:
Total cost = 6.25 units($85)
Total cost =$531.25
This answer could also be found by calculating the cost per foot of the fencing: [tex]\frac{85 dollars}{8ft}=10.625\frac{dollars}{foot}[/tex]
Since 50 feet are needed: 50 ft (10.625 [tex]\frac{dollars}{foot}[/tex])=$531.25
You read 6 chapters. Each chapter has 8 pages. Your brother reads the same number of pages. His chapters have 12 pages. How many chapters does your brother read?
The sixth chapter's Brother 0.66 pages were read.
How to calculated the chapters in 12 pages?According to the order of operations, you should perform multiplication and division first, going from left to right, before adding and subtracting.
Add and subtract from left to right while continuing to multiply and divide. the next step is to add and subtract from left to right.
Assumed the question is how many pages are in each chapter.
Let it be x:
6x + 8 = 12
6x = 4
x = 4 /6
x = 0.66.
The sixth chapter's Brother 0.66 pages were read.
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What is the graph of the system of inequality?
Graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.
What is inequality?
When left hand side is not exactly equal to the right hand side of an equation then it is known as inequality. For system of inequality, there are four types of inequalities <, >, [tex]\le[/tex], and [tex]\ge[/tex].
Using following steps anyone can graph the inequality:
1. Get y alone on one side of a linear inequality in two variables (like x and y) before graphing it. Then, take into account the associated equation that was created by switching the inequality sign for an equality sign. This equation has a line as its graph.
2. The graph is a dashed line if the inequality is strict ( < or >). The graph is a solid line if the inequality is not strict ([tex]\le[/tex] or [tex]\ge[/tex] ).
3. The last step is to choose a point that is not on either line (typically (0, 0) is the simplest) and determine whether or not these coordinates fulfil the inequality. If so, shade the portion of the half-plane that contains that point. If not, shade the opposite half-plane.
Hence, the graph of the system of inequality is a solid line and a portion of area is shaded which satisfy the condition of the inequality.
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1 Select the correct answer. Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x − 7) + 3? A. It is the graph of f translated 3 units up and 7 units to the left. B. It is the graph of f translated 7 units down and 3 units to the right. C. It is the graph of f translated 7 units up and 3 units to the right. D. It is the graph of f translated 3 units up and 7 units to the right.
Using translation concepts, it is found that the correct option is:
D. It is the graph of translated 3 units up and 7 units to the right.
The parent function is:
[tex]f(x)=y=1nx[/tex]
Shifting a function a units to the right is equivalent to finding f(x - a), thus:
[tex]f(x-7)=1n(x-7)[/tex]
Shifting a function a units up is equivalent to finding f(x) + a, thus:
[tex]f(x-7)+3=1n(x-7)+3[/tex]
Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.
