ANSWER
The circumcenter is (2,1)
EXPLANATION
The midpoint of BC is (-3,2)
The equation of the perpendicular bisector of BC is x=2
The midpoint of AB is (-1,1)
The midpoint of AB is (-1,1)
The perpendicular bisector of AB is y=1.
These two lines intersect at (2,1).
The point of intersection of the perpendicular bisectors of a triangle is called the circumcenter of the triangle.
Based on the graph, the coordinates of the circumcenter of this triangle are (2, 1).
What is a circumcenter?In Mathematics and Euclidean Geometry, a circumcenter is the point where perpendicular bisectors (right-angled lines to the midpoint) of the sides of a triangle meet together or intersect.
This ultimately implies that, the circumcenter of any triangle is always equidistant from all the rays (vertices) of that triangle.
By critically observing the graph of triangle ABC, we can logically deduce the following parameters;
Midpoint of BC = (-3, 2)Equation of the perpendicular bisector of BC: x = 2 ⇒(2, 0).Midpoint of AB = (-1, 1)Equation of the perpendicular bisector of AB: y = 1 ⇒(0, 1).Based on the equation of the perpendicular bisector of BC and AB, the coordinates of the circumcenter are (2, 1).
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If a sample proportion is 0.26 which of the following is most likely the range of possible values that best describes an estimate for the population parameter
Answer: (0.15,0.37)
Step-by-step explanation:
did the quiz
The range of possible values that best describes the estimate for the population parameter is [0.16, 0.38]. Therefore, the correct answer is option D.
Given that, a sample proportion is 0.26.
In statistics, the sample proportion is an estimate for the population parameter. When given a sample proportion, the range of possible values that best describes the estimate for the population parameter is typically the 95% confidence interval for the sample proportion. The 95% confidence interval states that if the same sampling procedure is repeated on many samples, then 95% of the confidence intervals constructed this way will contain the true population parameter.
The 95% confidence interval for a sample proportion is given by [p-1.96√(pq/n), p+ 1.96√(pq/n)], where p is the sample proportion, q is the complement of the sample proportion (q = 1 − p), and n is the sample size.
In this case, the sample proportion given is 0.26, and so p = 0.26, q = 0.74, and the sample size can be assumed to be large (n ≥ 30). Substituting these values into the 95% confidence interval equation yields the range of possible values that best describes the estimate for the population parameter: [0.16, 0.38].
Therefore, the correct answer is option D.
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"Your question is incomplete, probably the complete question/missing part is:"
If a sample proportion is 0.26 which of the following is most likely the range of possible values that best describes an estimate for the population parameter?
A. (0.14, 0.36)
B. (0.17, 0.39)
C. (0.15, 0.37)
D. (0.16, 0.38)
Write an equation with integer solutions of:
x = ±6, y = 0
and
x = 0, y = ±12
A)x2 + y2 + 6 = 0
B)4x2 + y2 + 144 = 0
C)x2 + y2 − 6 = 0
D)4x2 + y2 − 1
The correct answer is:
D. 4x2 + y2 − 1
[tex]|Huntrw6|[/tex]
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
x = ±6, y = 0
and x = 0 and y = ±12
And we need an equation which has above as an integer solutions.
So, it becomes,
Consider [tex]4x^2+y^2-144=0[/tex]
Put x = 0, we get
[tex]0+y^2=144\\\\y^2=144\\\\y=\sqrt{144}\\\\y=\pm 12[/tex]
Similarly,
Put y = 0,
[tex]4x^2+0=144\\\\4x^2=144\\\\x^2=\dfrac{144}{4}\\\\x^2=36\\\\\x=\pm 6[/tex]
Hence, Option 'D' is correct.
if 9 people share 5 pizzas equally each person receives a fraction of the whole what fraction describes what each person receives
Answer:
5 slices
Step-by-step explanation:
What is the measure of the major arc?
The answer is D) 210 because arc eog is 150 and is the minor arc. A whole circle is 360 therefore 360-150=210
The measure of the major arc is found by calculating the circumference of the entire circle 2πr and then using the proportion that the angle of the major arc represents out of 360 degrees.
Explanation:The measure of the major arc in a circle depends on the angle subtended by the arc at the center of the circle. If we define the angle Θ (theta) in degrees, that subtend the arc, the length of the major arc can be found by using the circumference of the entire circle, which is 2πr (where r is the radius), and the proportion of the circle that the major arc represents. Since the entire circle is 360 degrees, if the major arc corresponds to an angle Α, which is the complement of Θ (since Α + Θ = 360 degrees for the minor and major arcs together), the major arc length will be 2πr (Α/360). To summarize, if you're given the central angle of the minor arc or can otherwise determine the central angle for the major arc, you can use this proportion to calculate the arc length.
Combine the like terms to create an equivalent expression: r+(−5r)
Answer:
-4r
Step-by-step explanation:
Since r and -5r both have the same variable, we can combine them
r-5r = -4r
r+(−5r) = -4r
Answer:
Step-by-step explanation:
-4r
What is the percent when the balance goes from $300 to $60?
Answer:
80% decrease
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
if i worked for 7h and 45 min and got paid 93 dollors what is my dollor per hour rate
8 per hour. have a nice day
How many cubes with sides length of 1/2 cm does it take to fill the prism
Answer:
40 cubes
Step-by-step explanation:
We need to determine the volume of the cuboid.
[tex]Volume=lbh[/tex]
We substitute the given dimensions l=2.5cm,w=2cm and h=1cm.
[tex]Volume=2.5\times2\times1cm^3[/tex]
[tex]Volume=5cm^3[/tex]
The volume of the cube is [tex]Volume =(\frac{1}{2})^3=\frac{1}{8} cm^3[/tex]
We need to divide the volume of the cuboid by the volume of the cube to get the number of cubes that can fill it;
[tex]\frac{5}{\frac{1}{8} }=8\times 5=40[/tex]
the graph shows the amount of money Hachi earns at his job in relation to the number of hours he works.
what is Hachi's pay rent in dollars per hour? record your answer and fill in the bubbles on your answer form. Be sure to use the correct place value.
Answer:
(A) - Hachi does not earn any money if he does not work
Step-by-step explanation:
THE FIRST GUY IS WRONG TRUST ME.If you think about it the graphed point is (0,0), so it is self explanatory that he works 0 hours and OBVIOUSLY he wont earn any money if he doesnt work.
The graph shows the amount of money Hachi earns at his job in relation to the number of hours he works. Hachi does not earn any money if he does not work.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
We can see that the graph linearly increases as the hour he worked and the money he earned will increase.
we know that the graphed point is (0,0),
He earned 10 money per hour of work.
so it is self-explanatory that he works 0 hours and obviously, he won't earn any money if he doesn't work.
Thus, Hachi does not earn any money if he does not work.
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Given a square with vertices (0,1), (1,0), (0,-1), and (-1,0), what is the perimeter of the square?
Answer:
square root 4
Step-by-step explanation:
The sum of the digits of a 2-digit number is 1. What is the number?
Answer:
The number is 10
I can’t do it rn so just dm me later
In 2011, it was estimated that the number of U.S households which had dogs as pets was 4.33 x 10^7 and the average number of dogs per household was 1.6 based on the infomation, approximately how many dogs were household pets in the US in 2011 in Scientific notation
A. 2.71 x 10^7
B. 3.70 x 10^8
C. 5.33 x 10^8
D. 6.93 X 10^7
The right answer is
D. 6.93 X 10^7
The equation of a circle is (x + 3)2 + (y – 5)2 = 81. Determine the coordinates of the center of the circle and the length of the radius.
Answer:
The center of the circle is (-3 , 5) and the length of the radius is 9 units
Step-by-step explanation:
* Lets revise the standard form of the equation of the circle
- The center-radius form of the circle equation is in the format
(x – h)² + (y – k)² = r², where the center is the point (h, k) and
the radius is r.
- This form of the equation is helpful, because you can easily find
the center and the radius.
* Now lets solve the problem
- The equation is (x + 3)² + (y - 5)² = 81
- By comparing the two equations
∵ (x – h)² + (y – k)² = r² and (x + 3)² + (y - 5)² = 81
# x - h = x + 3
∴ -h = 3 ⇒ divide both sides by -1
∴ h = -3
# y - k = y - 5
∴ k = 5
# h and k are the coordinates of the center of the circle
∴ The center of the circle is (-3 , 5)
# r² = 81 ⇒ take √ for both sides
∴ r = 9
∴ The length of the radius = 9 units
* The center of the circle is (-3 , 5) and the length of the radius is 9 units
The center of the circle is at (-3, 5), and the radius of the circle is 9, determined by the given equation (x + 3)^2 + (y – 5)^2 = 81.
Explanation:The student is asking about the equation of a circle and how to determine the coordinates of the center and the length of the radius. The given equation is (x + 3)2 + (y – 5)2 = 81. The general form of a circle's equation is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius.
To find the center of the circle, we look at the values h and k in the equation, which are the opposites of the constants added to x and y, respectively. Therefore, the center is at (-3, 5). To find the radius of the circle, we take the square root of the number on the right side of the equation. The square root of 81 is 9, so the radius is 9.
Solve the equation for x by graphing -4x+1=3x-4
A x=0.75
B x=0
C x=-0.75
D x=-1.75
The equation for x by graphing -4x+1=3x-4 is x=0.75.
What is the equation for x by graphing -4x+1=3x-4?Given:
The equation is given as -4x+1=3x-4.Find:
The value of x.Solution:
We will solve the given equation
The Given equation is -4x+1=3x-4.
Now, add 4x on both sides of the equation, and we get;
-4x+1+4x = 3x-4+4x
1 = 7x-4
Now, add 4 on both sides of the equation, and we get;
1+4 = 7x-4+4
5=7x
Now, x =5/7 = 0.714 ≅ 0.75
Hence, the equation for x by graphing -4x+1=3x-4 is x=0.75.
Therefore, Option A is the correct answer.
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Solve the equation for x by graphing
Need Help
The answer should be (B)
Answer:
B. [tex]x\approx 1.25[/tex].
Step-by-step explanation:
We have been given an equation [tex]2^x-4=-4^x+4[/tex]. We are asked to solve our given equation by graphing.
Upon graphing our given equation, we will get our required graph as shown in the attached image.
The solution for our given equation will be point, where graph intersects x-axis.
Upon looking at our given graph, we can see that it intersects x-axis at [tex]x\approx 1.25[/tex]. Therefore, option B is the correct choice.
Simplify 5x/(-3+2x+x^2)
Answer:5x/(x-1)(x+3)
Step-by-step explanation:Factor -3+2x+x^2 by using the AC method hope this helps. Branliest plz
All equilateral triangles are ________ triangles.
10pts this on is easy
Answer:
isosceles
Step-by-step explanation:
I don't know how to do this practice problem :/
Could someone explain? I was told in class that the answer is yes but don't quite understand why
First of all, we know that Emily travels 3/4 of a mile in 4 minutes and 30 seconds (i.e. 9/2 of a minute). So, her current velocity is
[tex]v = \dfrac{\frac{3}{4}}{\frac{9}{2}} =\dfrac{3}{4}\cdot\dfrac{2}{9} = \dfrac{1}{6}[/tex] of a mile per minute.
At this speed, it takes
[tex]t = \dfrac{s}{v} = \dfrac{3.42}{\frac{1}{6}} = 3.42\cdot 6 = 20.52[/tex]
minutes to travel 3.42 miles.
Since she left at 8.25, she will arrive at about 8.46, so she's on time for school.
A shop sells T-shirts and shorts for the following prices: T-shirt=£3.25 Shorts=£4.99
A mother buys 3 T-shirts and a pair of shorts for her son. She pays with a £10 and a £5 note. With what coins could she be given change?
£15.00 - £14.76 = £0.24
I hope I help you..
The mother buys 3 T-shirts and a pair of shorts. The possible coins she could receive as change are £1, 50p, 20p, 2p, and 1p.
The cost of 3 T-shirts can be calculated as:
3 T-shirts= 3 x £3.25 = £9.75
The cost of a pair of shorts is £4.99
Therefore, the total cost of 3 T-shirts and a pair of shorts is £9.75 + £4.99 = £14.74
If the mother pays with a £10 note and a £5 note, she could receive coins like £1, 50p, 20p, 2p, and 1p as change.
Find the volume of a rectangular prism with the following dimensions. Length: 4yd width: 5 ft height: 11ft volume =
Answer:
660 ft³
Step-by-step explanation:
The volume (V) of a rectangular prism is calculated using the formula
V = lbh ( l is length, b is breadth and h is height )
The dimensions must be in the same units, thus we need to change length into feet.
l = 4 × 3 = 12 ft ( 1 yard = 3 feet )
b = 5 ft and h = 11 ft
V = 12 × 5 × 11 = 660 ft³
Final answer:
Convert the length from yards to feet, then calculate the volume by multiplying length, width, and height to get 660 cubic feet.
Explanation:
To find the volume of a rectangular prism, you multiply the length, width, and height together. However, notice that in the problem the lengths are not all in the same units; the length is given in yards and the width and height in feet. First, we need to convert yards to feet so that all dimensions are in the same units, using the conversion factor that 1 yard is equal to 3 feet.
After converting, the length will be:
4 yd = 4 x 3 ft = 12 ft
Then you can calculate the volume:
Volume = length x width x height
= 12 ft x 5 ft x 11 ft
= 660 cubic feet
.
Find the surface area of the regular hexagonal pyramid. Round your answer to the nearest hundredth
Answer:A i guess i am soooooooooo sorry if i am wrong
Step-by-step explanation:
Answer:
(B) [tex]SA=79.18m^2[/tex]
Step-by-step explanation:
It is given from the figure, the side of the regular hexagonal pyramid is 3 m, slant height is 6.2 m and height is 5.6 m.
The formula for Surface area of the regular hexagonal pyramid is:
[tex]SA=\frac{pl}{2}+B[/tex]
where B is the area of the base, p is the perimeter and l is the slant height.
Now, the perimeter can be found as:
[tex]P=6{\times}3[/tex]
[tex]P=18 m[/tex]
And, the area of the base is:
[tex]B=\frac{3\sqrt{3}s^2}{2}[/tex]
Substituting the value of s in the above formula, we get
[tex]B=\frac{3\sqrt{3}(3)^2}{2}[/tex]
[tex]B=23.382m^2[/tex]
Now, substituting the values of B, and P in the formula of Surface area, we get
[tex]SA=\frac{18{\times}6.2}{2}+23.382[/tex]
[tex]SA=79.18m^2[/tex]
Thus, the Surface area of the regular hexagonal pyramid is [tex]79.18m^2[/tex].
Hence, option B is correct.
what is
the sum of the distance,d, times 8 and 5
I think the answer is 40
I think it’s 8d+5.
Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving in the same direction at an average speed of 48 kn/h. After driving for five hours Rob caught up with Jose. How long did Jose drive before Rob caught up?
Answer:
6 hours
Step-by-step explanation:
6 Hours is Jose's drive time.
What is the average speed?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Given
D=RT
D=40T
T=D/40 FOR JOSE.
D=48*5 FOR ROB.
D=240 Miles from the white house to the recycling plant.
240=40T
T=240/40
T=6 Hours is Jose's drive time.
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which parallel lines statement is true for the figure
Without a specific figure, it's not possible to definitively answer which parallel lines statement is true. However, parallel lines are equidistant and never meet, contrasting with mutually perpendicular lines, which intersect at right angles.
Explanation:Given the various contextual clues from the fragments presented, it seems that the question concerns the properties of parallel lines and their behavior in a geometric or physical context, possibly relating to vectors, navigation, or electrical currents. However, without a specific figure or more detailed information, it's not possible to accurately determine which statement is true regarding the parallel lines in the figure.
For parallel lines, we know that they are equidistant from each other at all points and will never meet, no matter how far they are extended. This trait could relate to the x-axis alignment if we assume the lines are coplanar. On the other hand, if lines are mutually perpendicular, they will intersect at right angles to each other and therefore are not parallel.
D) AB is parallel to CD.
To understand why this statement is true, let's analyze the properties of a trapezium and the given figure.
A trapezium is a quadrilateral with one pair of parallel sides. In this case, AB and CD are the sides of the trapezium.
Looking at the given figure, we can see that AB is the upper side and CD is the base of the trapezium. Since AB and CD are not intersecting each other and are on opposite sides of the trapezium, they must be parallel to each other.
Therefore, the correct parallel lines statement is that AB is parallel to CD.
To summarize:
- AB and CD are the sides of the trapezium.
- AB is the upper side and CD is the base.
- AB and CD are not intersecting and are on opposite sides of the trapezium.
- Therefore, AB is parallel to CD.
I need help with division
Answer:
67.2
Step-by-step explanation:
The easiest way to do this is by taking your original number 112, and multiply it by the percentage. The way to do that is
112 x .6
This gets you 67.2
Find the measure of arc BC
Answer:
Step-by-step explanation:
This problem does not specify what the radius of the circle is, and so we will have to represent that by r.
Arc length = s = rФ, where Ф is the central angle in radians.
Converting 162° into radians:
162° 1 rad
------- · ------------ = 0.9 rad
1 180°
Then the arc length BC is s = rФ, or r(0.9 rad)
If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m
Answer:
198
Step-by-step explanation:
360-162= 198
FIRST PERSON TO HELP ME GETS BRANLIEST AND 100 POINTS PLUS 5-STAR RATING OH AND A THANKS
Answer:
D
the answer is D
Eddies towing company charges $40 to hook a vehicle to the truck and $1.70 for each mile the vehicle is towed. Which equation best represents the relationship between the number of miles towed, m, and the total charges, c?
A.c=40+1.70
B.c=40+1.70m
C.c=40m+1.70
D.c=40m+1.70
Answer:
B
Step-by-step explanation:
$40 is the flat fee of hooking a vehicle. It does not depend on m, miles towed.
$1.70 depends on miles towed, m. So if m miles are towed, the towing fee would be 1.70 * m, or 1.70m.
THAT, would be added to the initial fixed me of $40.
Hence, total charges, c, would be 40 + 1.70m
Answer choice B is right.
The correct equation that represents the total charges from Eddies towing company, taking into account the fixed hooking fee and the per mile charge, is c = 40 + 1.70m. This equation combines the constant fee of $40 and the $1.70 charge per mile, where the number of miles is represented by m.
Explanation:The question is about finding the equation that represents the total charges, c, from Eddies towing company given the number of miles a vehicle is towed, m. Since the company charges a fixed fee of $40 for hooking the vehicle and an additional $1.70 for each mile the vehicle is towed, the correct equation should present these two charges. The fixed fee doesn't change with the number of miles, so it remains constant at $40. On the other hand, the per mile charge depends on how many miles are towed, hence it'll be multiplied with the number of miles, m. That results in an equation with the form of c = 40 + 1.70m. Therefore, the correct answer is option B.
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What is the solution to the system of equations?
(3x+2y = 39
15x-y = 13
(4,7)
(7,4)
(12,5)
(5, 12)
Answer:
Can you check your equation? None of the solutions work out.
Step-by-step explanation:
What is the area of this rectangle?
10 units
20 units
24 units
48 units
The correct answer will get branliest :)
Answer:
The area is A = L * W = 24 units^2
Step-by-step explanation:
The width (measured horizontally) is (7 - 3), or 4 units. The height (measured vertically) is (8 - 2), or 6 units.
The area is A = L * W = (6 units)(4 units) = 24 units^2.
Answer:
24^2
Step-by-step explanation: