Points L, M, and N are collinear. You are given LM = 21 and LN = 35.
What is a possible value of MN ?
Answers
The value of MN is 14 when the Points L, M, and N are collinear.
As per the question statement, we are supposed to find the possible value of MN when the Points L, M, and N are collinear.
Also, LM=21 and LN=35
As LN is greater than LM, point M has to be in between L and N for practicality and question existence.
\(LM+MN=LN\\MN=LN-LM\\LN=35\\LM=21\\MN=35-21\\MN=14\)
Hence final answer is MN = 14
Collinear points: It is a set of points which has a thing in common i.e., they lie on the same line or when joined forms a straight line.To learn more, click on the link given below:
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Related Questions
13) Timmy went to the shooting range and went through 225 rounds. He put 100 rounds within 4 inches
of the bullseye and 43 rounds in the bullseye. What is his accuracy with in 4 inches and what is his
accuracy within the bullseye?
Answers
Answer
25/1 and 43/125
Step-by-step explanation:
Certain mineral elements required by plants are classed as macronutrients. Macronutrients are measured in terms of their percentage of the dry weight of the plant. Proportions of each element vary in different species and in the same species grown under different conditions. One macronutrient is sulfur. In a study of winter cress, a member of the mustard family, these data, based on three independent random samples, are obtained:
Answers
Answer:
The value of μ will be "0.82".
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
The given three random samples are 0.8, 0.95 and 0.7.
Now,
⇒ \(\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}\)
On substituting the estimated values, we get
⇒ \(=\frac{0.8+0.95+0.7}{3}\)
⇒ \(=\frac{2.45}{3}\)
⇒ \(=0.82\)
It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.
What is the answer? Plz help me
Answers
Answer:
27y + 6r
Step-by-step explanation:
use the distributive property
3 * 9y = 27y
3 * 2r = 6r
27y + 6r
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72,43,15,66,32,72,52,19,28,81
find the Mean, median, mode, range
Answers
The mean, median, mode and range of the set of numbers ( 72, 43, 15, 66, 32, 72, 52, 19, 28, 81 ) are 48, 47.5, 72 and 66 respectively.
What is the Mean, median, mode and range range of the set of numbers?Given the set of numbers:
72, 43, 15, 66, 32, 72, 52, 19, 28, 81
The mean (average), we sum up all the numbers in the set and divide by the total count of numbers.
Mean = (72 + 43 + 15 + 66 + 32 + 72 + 52 + 19 + 28 + 81) / 10
= 480 / 10
= 48
Therefore, the mean is 48.
To find the median, we first need to arrange the numbers in ascending order:
15, 19, 28, 32, 43, 52, 66, 72, 72, 81.
The median is the middle value of the sorted set. Since we have an even count of numbers (10 in this case), we take the average of the two middle values.
Median = (43 + 52) / 2
= 95 / 2
= 47.5.
Therefore, the median is 47.5.
The mode is the number that appears most frequently in the set.
Here, the mode is 72, as it appears twice, more than any other number.
Therefore, the mode is 72.
To find the range, we subtract the smallest number from the largest number in the set.
Range = 81 - 15 = 66.
Therefore, the range is 66.
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-4(2x+7) = 2x - 18 Solve for x
Answers
Answer:
x = -1
Step-by-step explanation:
-8x - 28 = 2x - 18
+28 +28
-8x = 2x + 10
-2x -2x
-10x = 10
÷-10 ÷-10
x = -1
Answer:
1.Distribute
2.Add 28 to both sides
3.Simplify
4.Subtract 2x from both sides
5.Simplify
6.Divide both sides by the same factor
7.Simplify
x =-1
Tell whether the statement is true or false.
{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}
Answers
Answer:
false
Step-by-step explanation:
i dont understand kinda
but if you add it,
88<106
so false
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Answers
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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Matt is making cookies. He adds 3/4 of a cup of sugar to a bowl. He then removes two 1/8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?
3/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
3/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
Answers
Answer:
4/8 because 3/4 - 2 × (1/8) = 3/4 - 2/8
Step-by-step explanation:
3/4 is equal to 6/8
2 1/8s is equal to 2/8
Subtract:
6/8-2/8=4/8 simplify (both have a GCF of 4) (4/8)/4=1/2
An astronaut on the moon throws a baseball upward. the astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 50 ft per sec. the height s of the ball in feet is given by the equation s=-2.7t^2+50t+6.5 , where t is the number of seconds after the ball was thrown. complete parts a and b.
Answers
Answer:
Step-by-step explanation:
This was answered in question #24217201. It's the exact same question, but you forgot to put what parts A and B are. The answers and the work are there.
What is the positive solution to 2x2 -4x -30.=0 ?
Answers
Answer:
\(x=1+\frac{\sqrt[]{40}}{4}\)
Explanation: Given the folllowing equation, we need its positive solution or root:
\(2x^2-4x-30=0\)Solution by Quadratic formula:
\(x=\frac{-B\pm\sqrt[]{B^6-4AC}}{2S}\rightarrow(1)\)Where x can be positive and negative, but we are interested in the positive solution.
Constants A B C in (1) are as follows:
\(\begin{gathered} A=2 \\ B=-4 \\ C=-30 \end{gathered}\)Plugging these values in (1) gives us:
\(x=\frac{-(-4)\pm\sqrt[]{(-4)^2-4(2)(-30)}}{2(2)}=\frac{4\pm\sqrt[]{16+(8)(30}}{4}\)Firther simplification gives:
\(\begin{gathered} x=\frac{4\pm\sqrt[]{16+24}}{4}=\frac{4\pm\sqrt[]{40}}{4}\rightarrow positive\rightarrow x=\frac{4+\sqrt[]{40}}{4}=1+\frac{\sqrt[]{40}}{4} \\ \therefore\rightarrow \\ x=1+\frac{\sqrt[]{40}}{4} \end{gathered}\)Explain the meaning of the term floor plan in this context
Answers
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
4. Find the equation of the line that has a slope of 3 and goes through the point (3,4).
Answers
equation= y-y¹=m(x-x¹)
= y-4= 3(x-3)
y-4= 3x-9
y= 3x-9+4
y=3x-5
Please help ASAP with this math problem
Answers
Answer:
D
Step-by-step explanation:
\(\sqrt{20x^{5} y^{2} }\)
Can be written
\(\sqrt{(2)(2)(5)xxxxxyy}\) Pull out the pairs
2\(x^{2}\)y\(\sqrt{5x}\)
Helping in the name of Jesus.
what is -7 in binary and also what is -5 in binary
Answers
Answer:
-7 in binary is -0b111.
-5 in binary is -0b101.
Step-by-step explanation:
Answer:
-111
-101
Step-by-step explanation:
Binary uses powers of 2.
2^0 = 1
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
7 = 4 + 2 + 1
7 = 1 × 2^2 + 1 × 2^1 + 1 × 2^0
7 in binary is 111
-7 in binary is -111
5 = 4 + 1
5 = 1 × 2^2 + 0 × 2^1 + 1 × 2^0
5 in binary is 101
-5 in binary is -101
Bill and Ben each have three cards numbered 4,5,6 they each take one of their own cards then they add the two numbers on the cards what is the probability that their answer is an odd number. What is the probability that their answer is a number less than 11.
Answers
Answer:
P(odd) = 4/9P(<11) = 2/3Step-by-step explanation:
There are 9 possible outcomes for (Bill, Ben)'s cards:
(4, 4) total 8; (4, 5) total 9; (4, 6) total 10;
(5, 4) total 9; (5, 5) total 10; (5, 6) total 11;
(6, 4) total 10; (6, 5) total 11; (6, 6) total 12.
Of these 9 outcomes, 4 have an odd total; 6 are less than 11.
P(odd) = 4/9
P(sum < 11) = 2/3
Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Answers
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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please answer fast...............................
Answers
The coordinate of point R after the rotation is determined as = ( - 4, 7).
option A.
What is the rotation of a figure?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.
You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.
When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.
The initial coordinate of point R = ( 4, 7),
The new coordinate of point R after the rotation = ( - 4, 7)
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Please help me answer this mathematics question
Answers
Answer:
\(x = 172.75\)
Hope this help!!!
Have a good day♡
Let U=(1,2,3,4,5,6,7,8,9,10) Let A = {2,4,6,8,10}. Let B=(1,3,4,6,9} Determine (A - B)'.
Answers
A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.
Since A ∩ B = {4, 6}, we have
A - B = {2, 8, 10}
Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.
(A - B)' = {1, 3, 4, 5, 6, 7, 9}
What is the value of n?
Enter your answer in the box.
n = __ cm
Answers
The value of the missing segment n using the product of intersecting chord theorem is 14cm
Using the product of intersecting chord principleThe product of the segments of two intersecting chords are equal.
The segments of the chords ;
Chord 1 = 4 and n
Chord 2 = 7 and 8
The principle can be related Mathematically thus ;
4 × n = 7 × 8
4n = 56
Divide both sides by 4
4n/4 = 56/4
n = 14
Therefore, the value of n in the question is 14cm
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A fish descends 4 meters per minute for 2 minutes. Then it ascends 3 meters per minute for 3 minutes. What is the total distance, in meters, the fish traveled?
Answers
The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.
How is the total distance traveled determined?The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.
We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.
In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.
The results are added to obtain the total distance the fish traveled for both activities.
The fish's descent speed = 4 meters per minute (MPM)
The total time for the descent = 2
The total distance for the descent = 8 miles (4 x 2)
The fish's ascent speed = 3 meters per minute (MPM)
The total time during ascent = 3 minutes
The total distance for the ascent = 9 miles (3 x 3)
The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)
Thus, we can mathematically conclude that the fish traveled 17 meters.
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Natalie wants to buy 5 feet of ribbon for her scrap book supplies. The store only sells the ribbon in inches. How much ribbon does Natalie need in inches? (number only)
Answers
Answer:
60 inches
Step-by-step explanation:
Natalie will need to buy 60 inches of ribbon. This was calculated as 12 x 5 = 60
There are 12 inches in a foot, so I just multiplied that by how many feet she needs.
I hate to ask for help but I know that’s what you guys are here for. I’ve been stuck on this sample work for over 2 weeks simply cause I don’t understand it. Can any of you tell me the answers or help with it?
Answers
Answer:
Step-by-step explanation:
I am not sure what the first question is asking but yes y does very direction with x.
Lemme know if i can help with anything else
:)
Front Elementary School is putting in a new merry-go-round with a diameter of 10.4
10
.
4
feet on the playground. Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3
3
feet beyond the edge of the merry-go-round.
image
What is the approximate area of the mulch around the merry-go-round? Use 3.14
3.14
for π
π
, if required.
Answers
The approximate area of the mulch around the merry-go-round is 126.228 feet².
Diameter of the merry go round = 10.4 feet
Radius is half of the diameter.
Radius of the merry go round = 10.4/2 = 5.2 feet
Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.
Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet
Total area of the merry go round with the mulch is,
Area = π (8.2)² = 67.24π feet²
Area of the merry go round = π (5.2)² = 27.04π feet²
Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²
Hence the required area is 126.228 feet².
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MATH EXPERTS I NEED YOU! Is it graph A, B, C, or D?
Answers
Answer:
Its the first graph ok kid
Step-by-step explanation:
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the
bag?
Answers
Number of winning tickets =7 and Number of losing tickets = 28. When there are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1:4
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio refers to the relationship between a particular group and the entire. For instance, five out of every ten people enjoy reading. As a result, the ratio of the part to the whole is 5: 10, meaning that 5 out of every 10 persons enjoy reading.Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = \(\frac{1}{1+4} *35\)
\(\frac{1}{5} *35=7\)
Number of losing tickets = \(\frac{4}{1+4} *35\)
\(\frac{4}{5} *35\)
4×7=28
Hence, Number of winning tickets =7 and Number of losing tickets = 28.
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Can u pleaseee answer all parts pleaseeeee <3333
please help meee
Answers
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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Can anyone give me tips on ways I could stop being tired and stressed to studying and working on homework more often?
Answers
Answer:you can often sleep more earlier to more things and try staying away from things that strain your eyes and take naps or breaks between work
Step-by-step explanation:
how dizxhdklhjs'klz/'cljkdshkjl dk jkjslkn sdkjnkl jddddkls kl'lk jl
Answers
Answer:
what's that (✷‿✷)
shsyhwvqqhsidjsbshsb
can you please help me with this
Answers
You have the following information about the triangle formed between A, B and C (where the airplane is) points:
distance AB = 6 mi
m∠x = 25°
m∠y = 55°
In order to determine the distance from point B to C, first find the measure of the internal angles of the triangle.
Consider the line of the trajectory of the airplane and the line of the surface of the ground as parallel lines. Then, you can assume that both segments AC and BC are secant line which cross two parallel lines.
The previous conclusion allows you to determine the angles m∠ABC and m∠CAB as equal to m∠y and m∠x respectively.
m∠ABC = m∠y = 55°
m∠CAB = m∠x = 25°
Next, take into account the sum of all interioir angles of a triangle is equal to 180°, then for the angle m∠ACB you have:
m∠ACB = 180° - m∠ABC - m∠CAB = 180° - 55° - 25° = 100°
Next, take into account you have information about one side of the triangle and all interioir angles. Then, you can use the law of sines to find the value of the length of segmen AC, just as follow:
AC/sin(m∠CAB) = AB/sin(m∠ACB) = BC/sin(m∠ABC) law of sines
take the second equation:
AB/sin(m∠ACB) = BC/sin(m∠ABC) replace the values of the parameters
6/(sin100°) = BC/(sin55°) solve for BC
(6/(sin100°))(sin55°) = BC
4.99 = BC
BC ≈ 5.00
Hence, the distance from the point B to the airplane is 5 mi.