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

Tutors Answer Your Questions about Length-and-distance (FREE)

Question 39533: The quotient when 3 more than a number is divided by 3 less than that same number. Write each of the following geometric expressions using the given symbols
Click here to see answer by fractalier(2101)

Question 41307: The sides of a square measure 7 feet. How long is the diagonal?

9.9 ft
9.7 ft
11.2 ft
10.3 ft
I dont need the answer, I just would like an explanation on how to solve this.

Click here to see answer by zeynep(43)

Question 41482: Can someone help me with this problem?
A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow that is 0.4 m long. How tall is the tree?
Thanks,
Lyn
Click here to see answer by checkley71(8403)

Question 41577: Please help me with this problem. Jason is planning to expan a square vegetable garden. If each side of the original garden s increased by 7m, the new total area of the garden will be 144m^2. What is the lenght of each side of the original garden? Thanks
Click here to see answer by Earlsdon(6287)

Question 41579: May I please have some help? A soccer field is 336yd^2. The width is 5yd longer than its length. What is the length and width of the soccer field. Thanks for your help.
Click here to see answer by mszlmb(115)

Question 41787: Can someone help me with this?
Choose the most reasonable measure.
The height of a bookshelf
(A) 12 cm
(B) 12 m
(C) 1.2 m
Thanks,
Lyn
Click here to see answer by AnlytcPhil(1276)

Question 41787: Can someone help me with this?
Choose the most reasonable measure.
The height of a bookshelf
(A) 12 cm
(B) 12 m
(C) 1.2 m
Thanks,
Lyn
Click here to see answer by psbhowmick(529)

Question 41924: Question
a) Given PRS and PQR are triangles. QR = 30 cm. Find PS.
b) PTQ, PMR and PMS are all triangles. PS = QR while PQ = RS. PQ = 24 cm while RS = 24 cm. Find PT.

Please help to solve this question. Thank you.
Click here to see answer by AnlytcPhil(1276)

Question 42072: Question
If the minute hand of a big clock is 1.12 m long, find the rate at which its tip is moving in centimeters per minute.
Please help and thanks a lot.
Click here to see answer by fractalier(2101)

Question 41760: Plot X(-2,2), Y(-4,-4), and Z(-8,0).Is triangle XYZ isosceles? Justify your answer by finding side lengths.
Click here to see answer by abcdefg(37)

Question 42073: I am so confused my head hurts please help me.
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.

a) What is the function that describes this problem?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball? What time will the maximum height be attained?
Answer:
Show work in this space.

4) John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained.
Answer:
Show work in this space.
Click here to see answer by josmiceli(9676)

Question 42205: Could someone please help me with this Thanks!!!!!!!

) John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained.
Answer:
Show work in this space.
Click here to see answer by psbhowmick(529)

Question 42240: I got to find the slop of the line through the following pairs of points

(-5 , -3 ) and (-5, 2)
Click here to see answer by nik_consult(24)

Question 42242: I got to find the constand of variation k

m varies directly with n; m=144 when n = 8
Click here to see answer by fractalier(2101)

Question 42625: In a right triangle, one side of teh right angle is located on the X-axis; teh other side of the right angle is located on teh y-ais. The hypotenuse of this triangle is formed by a segment of one line passing through the point M(2,3). The area of this right triangle is 12 square units.
What is the equation of the line passing through the point M?
Click here to see answer by checkley71(8403)

Question 44601: I have sent this before and I've checked the solutions on the website on this topic but I still can't find the answers. Perhaps, some of tutors can give me a hand.
Question
Two towns P and Q are 35 km apart. Peter starts cycling from P towards Q at 12 p.m. at 20 km/h until he is 16 km from P, when he changes speed so that he arrives at Q at 2 p.m. John leaves Q at 12:30 p.m. and cycles to P at a constant speed 26 km/h, find
a)the time when Peter and John meet.
b)the distance that they will meet
Thank you.
Click here to see answer by venugopalramana(3286)

Question 44743: My Question
A tin which is 12 cm long, 9 cm wide and 4 cm deep holds 120 g of tea. If 1 kg of the same tea is packed into a tin which has a 12 cm square base, how tall will the tin have to be ?
Please help me to solve this. Thanks.
Click here to see answer by venugopalramana(3286)

Question 45536: Avoiding a collision. A car is traveling on the road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns the driver that there is a train 50 meters from the car and heading towards the same crossing. How far is the train from the crossing? Please show work as well as solution. Thank you.
Click here to see answer by Nate(3500)

Question 45535: Area of a sail. A triangular sail has an area of x² + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail’s base. Please show work and solution. Thank you.
Click here to see answer by Nate(3500)

Question 45534: Decreasing cube. Each of the 3 dimensions of a cube with a volume of y³ cubic centimeters is decreased by a whole number of centimeters. If the new volume is y³ - 13y² + 54y – 72 cubic centimeters and the new width is y – 6 centimeters, then what are the new length and height? Please show work and answer. Thank you.
Click here to see answer by Nate(3500)

Question 45533: Rectangular Stage. One side of a rectangular stage is 2 meters longer than the other (x + 2m). If the diagonal is 10 meters, then what are the lengths of the sides? Please show work and answer. Thank you.
Click here to see answer by Nate(3500)

Question 45575: Towering Antenna. A guy wire of length 50 ft. is attached to the ground and to the top of an antenna. The height of the antenna is 10 ft. larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna? Please show all work steps and solution. Thanks
Click here to see answer by stanbon(57342)

Question 45694: Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length. please show all work and solution. Thanks
Click here to see answer by tutorcecilia(2152)

Question 45702: REPOST (previously unanswered): Solve by factoring.
Area of a painting. A rectangular painting with a width of “x” centimeters has an area of x² + 50x square centimeters (50x cm²). Find a binomial that represents the length. Please show all steps in work and answer. Thanks.

Click here to see answer by Fermat(127)

Question 45723: REPOST (previously unanswered): Winter Wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of his smallest field and that the side of his largest field was 3 kilometers longer than the side of the smallest field. If the total area of all three fields is 38 square kilometers, then what is the area of each field? Please show all steps in work and final answers. Thanks
Click here to see answer by Fermat(127)

Question 46436: Find the distance between each pair of points.
(-3,0) and (4,0)

Thank you!!!
Click here to see answer by tutorcecilia(2152)

Question 46639: Can someone help me on this?
A triangle has sides 3x + 7, 4x - 9, and 5x + 6. I need to find the expression that represents its perimeter.
Thanks, Ashley
Click here to see answer by Nate(3500)

Question 46962: A pendulum bob swings through an arc 70 inches long on its first swing. Each swing thereafter, it swings only 89% as far as on the previous swing. What is the length of the arc after 9 swings? Round your answer to two decimal places, if necessary.
Can anyone give me some help with this problem? Thanks!
Click here to see answer by Nate(3500)

Question 47495:

Click here to see answer by stanbon(57342)

Question 47781: Gone fishing. Debbie traveled 5 miles by boat upstream to fish in her favorite spot. Because of the 4mph current, it took her 20 minutes longer to get there than return. How fast will her boat go in still water?

Thanks
Click here to see answer by stanbon(57342)

Question 47930: can someone try to assist me with this problem. This posting does not let me apparently draw a rectangle but here is the problem
FIND THE LENGTH OF EACH SIDE OF THE RECTANGLE SO THAT IT HAS THE GIVEN PERIMETER.
THE TOP LONG LENGTH OF RECTANGLE HAS 2X-5
SMALL SIDE OF RECTANGLE HAS X
P=50 INCHES

Does this make sense?
Click here to see answer by awhalen(4)

Question 49205: Could someone help me with this please. Word problems. Geometry
Geometry: The length of a rectangle is 1 cm longer than it's width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Click here to see answer by Earlsdon(6287)

Question 49425: use the distance formula to find the distance between E(-2,-1), F(3,11)
Click here to see answer by Nate(3500)

Question 49606: Roger can hang wallpaper on a square wall with 12-ft sides in 40 minutes. Assuming the wallpaper is hung at the same rate, how long will it take him to cover a square section of wall with 6-ft sides?

Thanks!
Click here to see answer by checkley71(8403)

Question 50564: On the blueprint of Lauren''s new office buliding the scale is 3in equals 8ft. What will be the actual length of Lauren's office of it measures 6in long on the blueprint?
Click here to see answer by checkley71(8403)

Question 50596: Jhon's height increase from 5"2 to 5"7 during the past year. What is the rate of increase( to the nearest whole percent) of john's height over the past year?
Click here to see answer by checkley71(8403)

Question 51098: What is the Distance Formula to Find the Perimeter of a Figure?
Click here to see answer by tutorcecilia(2152)

Question 51417: please help...thankyou
3)Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:

b)The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c)How long will it take to hit the ground?
Answer:
Show work in this space.

d)What is the maximum height of the ball? What time will the maximum height be attained?
Answer:
Show work in this space.

4)John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex form to find the maximum area.
Answer:
Show work in this space.
Click here to see answer by AnlytcPhil(1276)

Question 51902: how many kilometers are in a meter?
Click here to see answer by funmath(2925)

Question 53137: how do you find the circumfrence of an area
Click here to see answer by checkley71(8403)

Question 53138: how does the midpoint formula work
Click here to see answer by wgomero(28)

Question 53777: Can someone help me on this problem?
The length of a rectangular playing field is 5 ft. less than twice its width. If the perimeter of the playing field is 230 ft., I nned to find the length and width of the field.
Thanks,
Sher
Click here to see answer by stanbon(57342)

Question 53981: Find AB if the coordinate of A is -5 and the coordinate of B is 17.
Click here to see answer by stanbon(57342)

Question 55098: I need an equation for finding the coordinates of the midpoint of an arc if only given the endpoint and centerpoint coordinates: A(x1,y1), B(x2,y2), CC(x,y). The arc is in a 2D Cartisian plane in Quadrant I but can be in any orientation. I already tried some solutions using the chord of AB and the cosine of the arcangle, but these only worked in certain orientations.
Any help is greatly appreciated!
Click here to see answer by Hook(36)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025