Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

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Question 1161878: Two frequencies of sound are played on an instrument governed by the function n(t)=8cos(20πt)cos(1000πt). What is the period and frequency of the fast and slow oscillation? What is the amplitude?
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Question 1161865: Two frequencies of sound are played on an instrument governed by the function n(t)=8cos(20pie*t)cos(1000pie*t). What is the peroid and frequency of the fast and slow oscillation? What is ampmitude?
Click here to see answer by Alan3354(69443)

Question 1161864: Drew wants to save $2500 to go to the next world cup. To the nearest dollor, how much needs to be invested in an account now with 3.25% APR, compounded monthly, in order to reach tgis goal in 4 years?
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Question 1161877: The population of a city has risen and fallen over 20 years interval. Its population may be modeled by the following functions: P(x)= 12000+8000sin( 0.628x), where the domain is the years since 1980, and the range is the population of the city. What is the largest and smallest population of the city may have?' also in which year is the largest and smallest population?
Click here to see answer by greenestamps(13198)

Question 1162558: A candy distributor needs to mix a 30% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 36% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Click here to see answer by jim_thompson5910(35256)

Question 1162643: The length of each of a square is 1 cm more than the width of a rectangle. the length of hte rectangle is 1 cm less than twice its width. the perimeters of the two figures are equal. find the dimensions of the rectangle.
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Question 1162712: A triangular garden has two sides of equal length and one side that is 7 feet longer. If the perimeter of the garden is 109 feet, what is the length of each of the two equal sides?
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Question 1162644: the length of a rectangle exceeds its width by 4 feet. if the width is doubled and the length is decreased by 2 feet, a new rectangle is formed whose perimeter is 8 feet more than the perimeter of hte original rectangle. find the dimensions of the original rectangle.
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Question 1162875: A circle is drawn through P(−2, 12), Q(4, 4) and O(0, 0). What are the coordinates of the centre of this circle?
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Question 1162928: A rope of length 10m is used to form a a sector of a circle of radius 3.5cm what is the size of the angle of the sector

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Question 1162930: A ladder placed against a wall subtends an angle of 45° with both the floor and the wall of the room if the height of the ladder from the room is 15m calculate the length of the ladder ,correct to the nearest whole number
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Question 1163232: Ok this is something related to my export business which ships to China.
Here’s the question :
If I have a shipping container (the kind you’ll see on a cargo ship) and the dimensions of the container are 20ft x 8ft x 8.6ft
Then how many of these can I fit in it:
Individual product dimensions:
4.4in x 6.3in x to 5.5in

Thank you in advance for any help with this !!

Click here to see answer by jim_thompson5910(35256)

Question 1163487: How long is the shadow cast on the ground (represented by the xy-plane) by a pole that is eight meters tall, given that the sun’s rays are parallel to the vector [5, 3, −2]?
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Question 1163579: find the distance between (9, -7) and (5, -4)

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Question 1164093: On a number line P is at -2 and H is at 3. Fine the midpoint of ph
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Question 1164163: A non-stop flight between two cities averages 460(mph) and takes 2.5 hours. The nonstop flight back averages 500 miles per hour because of a tailwind. How long does the flight back take, assuming it follows the same flight path?
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Question 1164258: find the distance between the two points in simplest radical form (-8,-2) and (-6,2)
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Question 1164272: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of length to width was 8 to 5. If the length of a rectangular painting is 20 inches, determine the width of the painting
Click here to see answer by greenestamps(13198)

Question 1164339: Hi, can you check my answers please? Thank you!
1. The packaging lists a model car’s length as 5.4 cm. It gives the scale factor as 1:72. What is the length of
the actual car?
a. 3.9 m --> my answer
b. 7.5 m
c. 13.3m
d. 5.6 m
2. Find a single translation that has the same effect as each composition of translations. (x, y) → (x + 3, y - 2)
followed by (x, y) → (x - 4, y - 1).
a. (x, y) → (x - 7, y + 1)
b. (x, y) → (x - 1, y - 3)
c. (x, y) → (x + 1, y - 5) --> my answer
d. (x, y ) → (x + 1, y - 1)
3. You are given the following coordinates.A(3, 7), B( - 2, 1), C(2, 0) and D(5, - 6).
Find the coordinates of the image after a reflection across x = 3.
a. A’(3, 7), B’( - 8, 1), C’(4, 0), D’(1, 6)
b. A’(3, 7), B’(8, 1), C’(4, 0), D’(1, - 6)
c. A’(3, - 1), B’( - 2, 5), C’(2, 6), D’(5, 12) --> my answer
d. A’(7, 3), B’( - 8, 1), C’(0, 4), D’( - 1, - 6)

Click here to see answer by Theo(13342)

Question 1164505: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. B(-5,1), M (1,-1)
Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. A(-2,3) M(0.5,0.5)
Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. A(4,2),M(-2,10)
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Question 1164509: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. A(4,2) M(-2,10)
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Question 1164508: Given the coordinate of one endpoint of segment AB and its midpoint M, find the coordinates of the other endpoint. A(-2,3) M(0.5,0.5)
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Question 1164652: Henry is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet. Suppose each bag of fertilizer covers square feet. How many bags will he need to cover the garden?

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Question 1164771: The midpoint of the line segment from P1 to P2 is (-7,3). If P1 = (-9,7), what is P2?
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Question 1164768: Find all points having an x-coordinate of 1 whose distance from the point (-3,-2) is 5
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Question 1164770: Find all points on the x-axis that are 6 units from the point (2,-3).
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Question 1164769: The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the lengths of the medians of the triangle with vertices at A(0,2), B(4,2), and C(2,8). Find the lengths of the medians of the triangle.
Click here to see answer by solver91311(24713)

Question 1164903: Four cities lie among a straight highwa in this order city a city b city c city d . The distance be from city a to city b is 5 times the distanCe from city b to city c. The distance of city a to city d is 2 times the distance from city a to city b the distance to city c and d is 16 miles
Click here to see answer by greenestamps(13198)

Question 1164958: qmy drove to a friends house at a rate of 45mph. She returned by the same route at a rate of 50mph. The driving time for the round trip was 4hrs. what is the total distance amy travelled.
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Question 1164959: the length of a rectangle is 3 inches greater than its width. The perimeter is 28inches. find the dimension of the rectangle
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Question 1165027: to find the length of ab with endpoints a(-7 5) and b(4 -6) you can use the
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Question 1165028: given the triangle whose vertices are at a(2,0), b(-7,-8) and c(-2,-7). Find the interior angle at vertex A and vetrex C.
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Question 1165250: Find the distance between the two points rounding to the nearest tenth (if necessary).
(3, -6) \text{ and } (-3, 2)
(3,−6) and (−3,2)
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Question 1165261: What are the coordinates of the point ¾ of the way from A(−6, −3) to B(10, 9)?

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Question 1165467: AC=23x-95 BD=5x+85 AD=12x+95 BC=39 find AD
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Question 1165894: I am struggling with the problem that say Find two possible corrdinates of Q so the PQ= 5. It gives us a numberline is -4 at one end and positive 4 at the other end and the points P is on -2 and H is on 3. I was wondering if you could help me.
Click here to see answer by Edwin McCravy(20054)

Question 1165949: I do not understand this...
A triangle is defined by the vertices A(2,3), B(6,8), and C(9,5). The length of the line segment connecting the midpoints of AB and BC is approximately �
A: 3.2 units
B: 3.64 units
C: 4.12 units
D: 6.4 units
thank you
Click here to see answer by ikleyn(52765)

Question 1166096: Mitzi shoots an arrow from an initial height of 2 meters, the arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters.
Write a quadratic function to represent the height of the arrow as a function of its distance. Use fraction, no decimals.
Click here to see answer by Boreal(15235)

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