Where is the circumcenter of this obtuse triangle located?
a. inside the triangle
b. on the side of the triangle
c. outside the triangle
d. at a vertex of the triangle
An obtuse triangle is made. The base of the obtuse triangle is slightly inclined with a horizontal in a downward direction and the other vertex is above the base.
Answers
The location of the circumcenter, of the obtuse triangle, which is the center of the circle that inscribes the triangle is at a point lower than the base of the triangle, and therefore, outside the triangle, because the angle of the arc formed by the base at the center is larger than 180°, which is the angle formed by the diameter/ The correct option is option c.
c. Outside the triangle
What is the circumcenter of a triangle?The circumcenter is the point of intersection of the perpendicular bisectors of the sides of the triangle.
The location of the circumcenter can be inside the triangle, outside the triangle, or on the triangle.
The circumcenter is located on the inside of an acute triangle, while it is located on the hypotenuse side of a right triangle.
The circumcenter of an obtuse triangle is located outside the triangleThe circumcenter is the location of the center of the circle that circumscribe the triangle, such that in an acute triangle, the angle at the center (twice the angle at the circumference), is always less than 180°, which is the angle made by the diameter, which keeps the diameter line and the circumcenter, passing inside the triangle.
However, in an obtuse triangle, the angle at the center, is larger than 180°, such that the line joining the base of the triangle, inscribed in the circle is located above the diameter, and therefore, located above the circumcenter.
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Related Questions
Please answer all questions ( AT LEAST 2 OR 1 ) fast! Who ever give me the first answer that is right and does all of them will get brainiest:
1. A local community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. What fraction of full-time employees work in the bank?
2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle.What fraction of pieces does David need to fix to complete the puzzle?
3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. What fraction of girls wore red outfits?
5. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. What fraction of books on the shelf are in Spanish?
Answers
1. The fraction of full-time employees who work in the bank is 16/31.
2. The fraction of pieces that David need to fix to complete the puzzle is 9/27
3. The fraction of girls that wore red outfits is 1/2.
4. The fraction of books on the shelf that are in Spanish is 2/7.
How to calculate the fractions?1. Alocal community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. The fraction of full-time employees will be:
= (31 - 15) / 31
= 16/31
2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle. The fraction of pieces that David need to fix will be:
= (28 - 19)/28
= 9/28
3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. The fraction of girls that wore red outfits will be:
= 10/20
= 1/2
4. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. The fraction of books on the shelf that are in Spanish will be:
= Spanish books / Total books
= 6 / (15 + 6)
= 6/21
= 2/7
The above illustrate the fraction.
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what is the x intercept of y = x + 3
and how do you get the answer
Answers
Answer: i believe it is
x-intercept(s): (−3,0) y-intercept(s): (0,3)
and
Step-by-step explanation:
substitute in 0 for y and solve for x and do that for the other just 0 for x and solve for y
You are completing a math assessment. The number of questions you complete and the time it takes you to complete them have a proportional relationship, as shown in the table.
Number of Questions 6 11
Time (in minutes) 15 ?
How much time does it take to complete 11 questions?
Answers
It will take 27 minutes 30 seconds to complete eleven questions.
What is direct proportionality?When two values are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage, direct proportionality is represented by a straight line and it equation is of the form -
y = kx
k = y/x
where [k] is the constant
Given is that the number of questions [y] completed and time [x] it takes to complete them are proportional to each other.
The number of questions [y] completed is proportional to the time [x] it takes to complete them.
That means,
y ∝ x
y = kx, where k is constant.
k = y/x
So, we can write;
y₁/x₁ = y₂/x₂
According to the question:
Let y₁= 6, x₁= 15, y₂= 11.
Substituting the values,
6/15 = 11/x₂
x₂ = 11 x 15 / 6
x₂ = 11 x 5 / 2
x₂ = 55 /2
x₂ = 27. 5
x₂ = 27 minute and 30 seconds.
Therefore, it will take 27 minutes 30 seconds to complete 11 questions.
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you draw a two-card hand from a standard deck of 52 cards. what is the probability of drawing a hand that contains exactly 2 face cards (a face card is a king, queen, or jack)?
Answers
By using the concept of probability, it can be calculated that -
Probability that a two-card hand from a standard deck of 52 cards contains exactly 2 face cards (a face card is a king, queen, or jack) = [tex]\frac{11}{221}[/tex]
What is probability?
At first it is important to know about probability of an event.
Probability gives us the information about how likely an event is going to occur.
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Number of face card = 12
Total number of cards = 52
Probability that a two-card hand from a standard deck of 52 cards contains exactly 2 face cards (a face card is a king, queen, or jack) = [tex]\frac{{12 \choose 2}}{{52 \choose 2}}[/tex]
= [tex]\frac{66}{1326}[/tex]
= [tex]\frac{11}{221}[/tex]
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Find the slope between the following points: (-4,7), and (4,—10)
Answers
Answer:
-17/8
Step-by-step explanation:
-10-7 -17
---------- = -------
4-(-4) 8
There are 24 members of a kayaking club this summer. Next year, Owen hopes the number of members will be 125% of this number.
Write a percent equation in the form part = percent • whole that can be used to find 125% of 24. Use p to represent the part and represent the percent as a decimal.
Answers
The percent equation in the form of p = percent x whole is
p = 1.25 x 24
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of members in the club = 24
Number of members in the club next year = 125% of 24
The percent equation of 125% of 24.
p = 125/100 x 24
p = 1.25 x 24
p = 5/4 x 24
p = 5 x 6
p = 30
Thus,
The percent equation is p = 1.25 x 24
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A shoe store sells sneakers, loafers, and boots in narrow, medium, and wide widths. They are available in sides 6, 6.5, 7, 7.5, 8, 8.5, 9, 9.5, 10, and 10.5. Find the number of pairs of shoes available. Then find the probability of selecting a size 8 in medium width sneakers. Is it likely or unlikely that the size would be chosen?
Answers
Answer:
1/90
Step-by-step explanation:
Do linear equations have 2 answers?
Answers
In general, linear equations have one solution. However, they can have infinitely many solutions in some cases.
A linear equation in mathematics is an equation that can be written in the form
ax + b = 0
The values of x that make this equation true are the solutions to the equation. Generally speaking, linear equations have one solution, which means that there is only one value of x that will make the equation true. However, in some cases, linear equations can have infinitely many solutions. For example, if a = 0 and b = 0, then any value of x will make the equation true.
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An animal pen is in the shape of a regular heptagon. What is the measure of each interior angle of the animal pen? round to the nearest tenth.
Answers
The required measurement of each interior angle of the animal pen
What is interior angle?An interior angle is a point inside a shape. The polygons are the shut shape that has sides and vertices. A standard polygon has generally its interior angle equivalent to one another. For instance, a square has generally its interior angle equivalent to the right point or 90 degrees.
According to question:The question expects us to track down the inside point of a customary heptagon.
To do this initially compute the outside angle of that polygon.
The amount of outside angle is 360°. A heptagon has 7 sides.
Along these lines, one exterior angle = 360°/7 = 51.4°
inside angle+exterior angle=180°
Interior angle = 180-51.4 = 128.6°
Thus, required interior angle is 128.6°.
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Find the number x, If 11/3 of x is 55
Answers
The missing number of the algebraic expression is; x = 15
How to solve algebraic word problems?We are given the algebraic expression that we should find the number x, If 11/3 of x is 55.
This can be expressed as;
(11/3)x = 55
Multiply through by 3 to get;
(11/3)x * 3 = 55 * 3
11x = 165
Divide both sides by 11 to get;
11x/11 = 165/11
x = 15
Which we conclude that 15 is the missing number.
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Classify the following triangle. Check all that apply.
A. Acute
B. Equilateral
C. Scalene
OD. Obtuse
OE. Isosceles
OF. Right
Answers
Answer:
A and B
Step-by-step explanation:
The triangle is labeled that all three sides are equal and all three angles are equal; thus, it is an equilateral triangle and “B” is correct.
Acute triangles have all acute angles. Understanding that the triangle is equilateral, equilateral triangles have all equal angles, and the total of all three angles in a triangle is 180, we can determine that all three angles are acute and the triangle is acute, so “A” is right. (one angle = x; three angles are equal and add up to 180 —> 3x = 180; x = 60; all angles are acute).
you buy 15 apples and a $2.75 block of cheese. the bill cost $6.20. write and solve an equation to find "a" the cost of each apple
Answers
The cost of each apple is equal to $0.23.
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=8x+3. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=8 and b=3.
The question gives:
15 apples (A)$2.75 block of cheesebill cost = $6.20You should convert the data into an equation:
15A+2.75=6.20
15A=6.20-2.75
15A=3.45
A=3.45/15
A=0.23
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A delivery service charges a flat rate of $4.25 per box plus an additional
amount per ounce. Carl mailed a four-pound package at a cost of $10.65.
How much did Carl have to pay per ounce?
Answers
The answer is 9 (2b - 5)
Answers
Answer:
18b-45
Step-by-step explanation:
9(2b-5)
9*2b-9*5
18b-9*5
18b-45
Answer:
9(2b - 5)
Distribute
9(2b - 5)
18b - 45
Solution
18b - 45
you want to grade on the normal curve. what characteristic of the distribution used should be of most concern
Answers
The class mean and standard deviation of the distribution used should be of most concern.
What is mean and standard deviation?
In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It demonstrates how different things are from the norm (mean). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.The mean and SD provide information about the average value and the average distribution of values around the mean, respectively.The standard deviation is a measure that summarises how far away from the mean each observation is. The positive would exactly balance the negative if the discrepancies themselves were totaled together, making their aggregate equal to zero.To know more about mean check the below link:
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8,3, -i
what is the polynomial function for these numbers
Answers
Answer:
f(x) = x⁴ - 11x³ + 25x² - 11x + 24---------------------------------
It is assumed the provided numbers are the zero's of the polynomial function.
We know complex zero's come in pairs if function has rational constants.
So we should have zero's: 8, 3, -i and i.
Find the polynomial:
f(x) = (x - 8)(x - 3)(x + i)(x - i) = (x² - 11x + 24)(x² + 1) = x⁴ - 11x³ + 25x² - 11x + 24What is the value of x in the solution to this system of equations?
y + 2x = -1
y=x+4
F.3
G65
H.-10/3
J.-2
Answers
The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.
Define elimination method.The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given,
Equations:
y + 2x = -1
y = x + 4
y - x = 4
Using elimination method,
y + 2x = -1
y - x = 4
-------------
x = 3
The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.
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in a stopwatch time study, the number of cycles that must be timed is a function of: (i) the variability of observed times. (ii) the desired accuracy for the estimated job time. (iii) the desired level of confidence for the estimated job time.
Answers
To calculate the number of cycles we need above 3 options
Stop Watch Time Study:
Stop Watch Time Study is one of the equipment used for Time Study. It is employed for measuring the time taken by an operator to complete the work. Stop watch used for time study purpose should be very accurate and preferably be graduated in decimals so that it can recover even up to 0.01 minute.
A large hand in the stop watch is revolved at a speed of one revolution per minute. The dial of the stop watch is divided into 100 equal divisions. The small hand inside the stop watch revolves at a speed of one revolution in 30 minutes.
Given that
In a stopwatch time study, the number of cycles that must be timed is a function of:
options are
(i) the variability of observed times.
(ii) the desired accuracy for the estimated job time.
(iii) the desired level of confidence for the estimated job time
To calculate the number of cycles we need above 3 options
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What is the equation of the line through 1 2 which makes equal intercepts on the axis?
Answers
The equation of the line through [tex](1,2)[/tex] which make equal intercepts on the axis [tex]x+y=3[/tex]
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
[tex]\frac{x}{a} +\frac{y}{b} =1[/tex]
If they make an equal intercept
[tex]a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a[/tex]
Put the value of the point in the axis, and we get.
[tex]1+2=a\\a=3[/tex]
Put the value in the equation, and we get.
[tex]x+y=3[/tex]
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suppose that the rural wage is $2 per day. urban modern sector employment can be obtained with a probability of 0.24 and pays $4 per day. the urban informal sector pays $1 per day. using this information, and making assumptions as needed, predict whether there will be any rural-to-urban or urban-to-rural migration? explain your reasoning, stating explicitly any simplifying assumptions, and show all your work.
Answers
The solution to given problem is since E(Wu) < Wr, there will be no migration from rural areas .
What does probability theory entail?
The subject of probability in mathematics is concerned with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, with 1 typically signifying certainty and 0 typically signifying impossibility.
Here,
Since ,the rural wage is $2 per day. Urban modern sector employment can be obtained with .24 probability and pays $4 per day. The urban traditional sector pays $1 per day.
As long as the rural pay (Wr) differs from the anticipated urban wage (E(Wu)), according to the Harris-Todaro model, there will be movement between rural and urban areas.
Here, Wr equals $2.00.
Determine the anticipated urban wage now.
E(Wu) = p
*Wum+(1-p)
*Wut
Where p is the likelihood of finding employment in the urban modern sector, which is 0.25, and Wum is the wage for such employment, which is $4.00.
Wut = $1.00 in wages for jobs in the typical urban sector.
Hence, E(Wu) = 0.24*$4.00+0.76*$1.00 = $1.72
Since E(Wu) < Wr, there will be no migration from rural areas .
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How do you determine a linear function?
Answers
The function is linear when the highest degree the the function is 1 .
In the question ,
we have been asked about when a function is called as linear .
By the definition ;
the Linear function is the function that has the highest degree as 1 and
On the coordinate plane the linear function represents the straight line .
the general form of the linear function is f(x) = mx + d ,
the slope is "m" and the y intercept is "d" .
The Examples of Linear Function are
f(x) = 3x + 2 ,
f(x) = -6x + 7
f(x) = 8 .
Therefore , the characteristic for the function to be linear is explained above.
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What is the difference between addition and subtraction of polynomials?
Answers
The difference between addition and subtraction of polynomials is that addition involves like terms and subtraction involves taking one polynomial away from another.
A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).
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Help please! I’m struggling:(
Answers
Answer:
B
Step-by-step explanation:
The median is the mid point value. Basically the median is whatever number is in the middle.
Identifying Products Resulting in a Sum or Difference of
Cubes
Sum of cubes:
(a + b)(a²-ab + b²) = a³ + b³
Difference of cubes:
(a-b)(a² + ab + b²)=a³-b³
4) Intro
Which products result in a sum or difference of cubes?
Check all that apply.
(x-4)(x2+4x-16)
□ (x-1)(x²-x+1)
(x-1)(²+x+1)
(x+1)2+x-1)
(x+4)(x²-4x+16)
□ (x+4)(x2 + 4x + 16)
Answers
The products result in a sum or difference of cubes are
(x - 1)(x² + x + 1) and (x + 4)(x² - 4x + 16).
What is sum or difference of cubes?
The term "sum of cubes" refers to a polynomial with the formula a^3 + b^3. The term "difference of cubes" refers to a polynomial with the form
a^3 - b^3.
The formulas for sum of cubes and difference of cubes are given:
Sum of cubes: (a + b)(a²-ab + b²) = a³ + b³
Difference of cubes: (a-b)(a² + ab + b²)=a³-b³
We have to check which products result in a sum or difference of cubes.
Consider,
(1) (x - 4)(x^2 + 4x - 16)
(x - 4)(x^2 + 4x - 16) = x^3 - 8x^2 + 32x - 64
It is not a sum or difference of cubes.
(2) (x-1)(x²-x+1)
(x - 1)(x² - x + 1) = x^3 - 2x^2 + 2x - 1
It is not a sum or difference of cubes.
(3) (x - 1)(x² + x + 1)
(x - 1)(x² + x + 1) = x^3 - 1
This is the difference of cubes.
(4) (x + 1)(x^2 + x - 1)
(x + 1)(x^2 + x - 1) = x^3 + 2x^2 - 1
It is not a sum or difference of cubes.
(5) (x + 4)(x² - 4x + 16)
(x + 4)(x² - 4x + 16) = x^3 + 64
This is the sum of cubes.
(6) (x + 4)(x^2 + 4x + 16)
(x + 4)(x^2 + 4x + 16) = x^3 + 8x^2 + 32x + 64
It is not a sum or difference of cubes.
Hence, the products result in a sum or difference of cubes are
(x - 1)(x² + x + 1) and (x + 4)(x² - 4x + 16).
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Find the value of X
(Please help)
Answers
Answer: x = 19
Step-by-step explanation:
Let's start with what we know. The area of a trapezoid is:
(B1 + x) * H /2 = Area
So here we have:
(25 + x)* 7 /2 = 154.
We multiply by 2 on both sides:
(25 + x)*7 = 308
Divide by 7 on both sides:
25 + x = 44
Subtract 25 from both sides:
x = 19.
So x = 19.
Answer: 19 inches
Step-by-step explanation:
The shape is a trapezium. (You can tell as there is one pair of parallel sides.) Therefore, to find the area, the following formula is needed:
Area of a trapezium = [tex]\frac{a + b}{2} * h[/tex]
a and b represent the parallel sides
Next, plug in the given values:
[tex]154 = \frac{x + 25}{2} * 7[/tex]
Rearrange the equation to get x on its own:
[tex]154 = \frac{x+25}{2} * 7\\\\\frac{154}{7} = \frac{x+25}{2} \\\\22 = \frac{x+25}{2} \\\\22*2 = x + 25\\\\44 = x + 25\\\\44-25 = x\\\\x = 19\\\\[/tex]
Therefore, the answer is 19 inches. Remember your units!
What is the quotient for this division problem? x+33x2−2x+5 A −3x−7+26x+3 B −3x+11+38x+3 C 3x+7+26x+3 D 3x−11+38x+3
Answers
The quotient of given polynomials division is x+2. So, the correct answer is option A.
What is a quotient?A quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Given that, (x²+3x+2)÷(x+ 1)
x²+3x+2 can be written as
x²+1x+2x+2 (Splitting of middle term)
= x(x+1)+2(x+1)
= (x+1)(x+2)
Now, (x+1)(x+2)÷(x+1)
= [(x+1)(x+2)]/(x+1)
= (x+2)
Therefore, option A is the correct answer.
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What is the quotient of the following division problem (x²+3x+2)÷(x+ 1).
a. x+ 2
b. x +1
c. x²+3x +2
d. 0
someone help please step by step
Answers
Answer:
[tex]x^{1}[/tex]=[tex]\frac{-3-\sqrt{7} }{2}[/tex] [tex]x^{2}[/tex]=[tex]\frac{-3+\sqrt{7} }{2}[/tex]
Step-by-step explanation:
1) collect like terms and move everything to the left
2[tex]x^{2}[/tex]2+3x-3+3x+4=0
2[tex]x^{2}[/tex]2 +6x-3+4=0
2) find the coefficients so you can plug them into the quadratic formula
a=2, b=6, c=1
3) plug these into the quadratic formula
4) use a calculator to solve both the positive and negative equations
if the probability of a dancing lady accepting an invitation to dance is 0.18, find the expected number of ladies you would have to ask before one accepts.
Answers
If the probability of a dancing lady accepting an invitation to dance is 0.18.The accepted number of ladies asked before is 7.14 .
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
According to the above discussion:
P{x(bar) (0.18)} = 0.07142371
= 7.14%
Therefore, the expected number is 7.14%.
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Multiple 3/8 by the whole part and the fractional part
Answers
Multiplying 3/8 by the whole part and the fractional part is 21/32.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the whole and fractional part can be 1 3/4.
Therefore, the multiplication by 3/8 will be:
= 3/8 × 1 3/4.
= 3/8 × 7/4
= 21 / 32.
The fraction is 21/32.
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Complete question
Multiply 3/8 by 1 3/4 which depicts the whole part and the fractional part.
Explain why it makes sense that the demand function has a negative slope.
Answers
The amount of a good that is demanded will decrease as its price rises
What is Law of Demand ?According to the Law of Demand, there is an indirect correlation between a good or service's price and the amount of that good or service that customers are willing and able to purchase .In other words, if an item's price increases, people are less able and willing to buy it, and vice versa.
According to the law of demand, the demand curve demonstrates the inverse relationship between the amount of items sought and price.
The amount of a good that is demanded will decrease as its price rises. The demand curve will therefore have a negative slope if the law of demand and its underlying assumptions are true.
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