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

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Question 1083257: A designer of decorative tiles wants to have some custom tiles made in the shape of a rhombus, with one diagonal twice the length of the other. If each side of a tile is to be 12 inches long, what will be the length of its shorter diagonal, to the nearest hundredth of an inch?
Select one:
a. 8.00 in
b. 10.73 in
c. 5.37 in
d. 21.47 in

Click here to see answer by MathLover1(20849) About Me 

Question 1083430: The point G(-3,-7) is rotated 90* about point M(9,7) and then reflected across the line y=8. Find the coordinates of the image G'.
Select one:
a. (23,21)
b. (21,23)
c. (-7,21)
d. (7,19)

Click here to see answer by Fombitz(32388) About Me 
Question 1083430: The point G(-3,-7) is rotated 90* about point M(9,7) and then reflected across the line y=8. Find the coordinates of the image G'.
Select one:
a. (23,21)
b. (21,23)
c. (-7,21)
d. (7,19)

Click here to see answer by ikleyn(52775) About Me 

Question 1083727: The foot of a ladder is 1m from a vertical wall. If the ladder reaches 5m up the wall, find the length of the ladder, to the nearest cm
Click here to see answer by Theo(13342) About Me 

Question 1083748: determine the volume of a right trapezoidal cylinder whose bases are B=18m and b=9m, height is h=5m and length is l =26m
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1083859: Anna rides a Ferris wheel at a county fair. At time t=0, Anna is at a height of 5 feet from the ground which is the minimum height of the Ferris wheel. The center of the Ferris Wheel is at a height of 85 feet. The Ferris Wheel rotates at a constant speed and makes two complete turns during the six minutes that Anna is on the Ferris Wheel.
Part A:
Write a trigonometric function for h(t) to express Anna's height, in feet, in terms of time, t, in minutes. Explain how you determined you answer.
Part B:
Determine Anna's height, in feet at time t= 1 minute

Click here to see answer by josmiceli(19441) About Me 

Question 1084010: What is the equation of a line that passes through the point (5,-2) and has a slope of -3?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1084010: What is the equation of a line that passes through the point (5,-2) and has a slope of -3?
Click here to see answer by MathTherapy(10551) About Me 

Question 1084011: If M(-3,0) is the midpoint of AB and the coordinates of A are (4,6), find the coordinates of B.
Click here to see answer by josmiceli(19441) About Me 

Question 1084038: What is the gradient and the y-intercept of the equation 8x-5y=3?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1084044: What is the gradient and y-intercept of equation -10+4x=-6y
Click here to see answer by Fombitz(32388) About Me 

Question 1084048: If a straight line of gradient 2 passes through each of the following points, find the equation of the line for (2,3)
Click here to see answer by Alan3354(69443) About Me 

Question 1084570:
A 40
​-inch
board

is cut into two pieces. One piece is three

times the length of the other. Find the lengths of the two pieces.

Click here to see answer by math_helper(2461) About Me 

Question 1084975: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 24 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 240 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by josgarithmetic(39616) About Me 
Question 1084975: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 24 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 240 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by ikleyn(52775) About Me 

Question 1085135: Find the distance between points (2,2) and (-2,5) to the nearest tenth
Click here to see answer by josmiceli(19441) About Me 

Question 1085057: Find the radius of a circle with center at (2,3),if a chord of lenght 8 is bisected at (-1,4) with solution Po plz

Click here to see answer by ikleyn(52775) About Me 

Question 1085194: Luigi rides his bike to school and forgets his lunch. 10 min after he leaves the house, his
mother starts to drive after him in her car. The car travels 22 mph and the bike travels 12 mph.
How long until the mother catches up?

Click here to see answer by ikleyn(52775) About Me 
Question 1085194: Luigi rides his bike to school and forgets his lunch. 10 min after he leaves the house, his
mother starts to drive after him in her car. The car travels 22 mph and the bike travels 12 mph.
How long until the mother catches up?

Click here to see answer by Alan3354(69443) About Me 

Question 1085268: Ed is a runner and he runs a 8 km loop every day.  The first 4 km, he
runs at 12km/hr.  He runs much slower on the way home.  If it takes him 1 hour in total to
run the loop, how fast is he running for the last 4 km?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1085275: Natasha leaves school at 3pm and she drives north at 40 km/hr.   2 hours later (at
5pm), Alli leaves and she drives East at 50 km/hr.    How long does it take before the
two cars are 300 km apart?

Click here to see answer by Boreal(15235) About Me 

Question 1085270: Brian decides to start training for swimming in a river.  The current in the river is
4km/hr.  If he swims upstream 2 km and then back downstream to where he started in 3
hours, what is his swimming speed?  

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1085416: the line UV has equation 5x-2y=7.the point U has coordinates (1,-1) and the point V has coordinates (3,r),find in general form ,the equation of the perpendicular bisector of UV
Click here to see answer by math_helper(2461) About Me 

Question 1085488: Find the distance between (-2, 3) and (4, -1). Thank you very much. It would be a really great help.
Click here to see answer by Alan3354(69443) About Me 

Question 1086036: The diagonals of a rhombus are perpendicular.
always
sometimes
never

Click here to see answer by ikleyn(52775) About Me 

Question 1086099: if (x 4) is equidistant from (5 -2) and (3 4) find x
Click here to see answer by ikleyn(52775) About Me 

Question 1086157: Find the center of the circle passing through the points (-1,0), (1,0), and (3,1). Express your answer in the form "(a,b)."
Click here to see answer by ikleyn(52775) About Me 

Question 1086202: for what value of k will the line kx+5y=2k have slope equal to 3?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1086205: a line of slope 3 passes through the point (7,10). if a point on the line has an abscissa 2, find its ordinate
Click here to see answer by josgarithmetic(39616) About Me 

Question 1086203: the distance from the origin to the point (-sin0, cos0) is equivalent to
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1086200: find the centroid of a triangle whose vertices are (2,3), (-4,6), and (2,-6)
Click here to see answer by Fombitz(32388) About Me 

Question 1085967: An median of a triangle line segment from a vertex perpendivular to opposite side. Find the length of median with vertices
V1=(3,-2),(-4,1),(3,-5)

Click here to see answer by Fombitz(32388) About Me 

Question 1086197: find the measure of angle A in triangle ABC with vertices at A(7,4), B(1,7) and C(-3,-4)
Click here to see answer by Fombitz(32388) About Me 

Question 1086199: in a cartesian coordinate system, the coordinates of a quadrilateral are (1,1), (0,8), (4,5), and (-3,4). what is area
Click here to see answer by MathLover1(20849) About Me 

Question 1086201: find the eccentricity of a hyperbola whose transverse and conjugate axes are equal in length?
Click here to see answer by addingup(3677) About Me 

Question 1086204: find the volume of the pyramid formed in the octant by the plane 6x+10y+5z-30=0 and the coordinate axes
Click here to see answer by Alan3354(69443) About Me 

Question 1086540: in the number 33,33,333 how many times is
a.) 3 in the ten thousand place and 3 in the tens place
b.) The digit on the extreme left then the digit on the extreme right .

Click here to see answer by ikleyn(52775) About Me 

Question 1087290: What is the value of YZ
Click here to see answer by Alan3354(69443) About Me 

Question 1087289: What is the value of YZ
Click here to see answer by Alan3354(69443) About Me 

Question 1087345: the volume of a box must be 315m cube. the length of the box is to be 7m and the hieght is to be 4m more than the width. find the width of the box?
Click here to see answer by Fombitz(32388) About Me 

Question 1087384: Object A travels at a constant velocity of 2.0 m/s and object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, how long will it take object B to catch object A?
Click here to see answer by ikleyn(52775) About Me 

Question 1087545: Find the point on the y-axis equidistant from (-5,2) and (9,-2)
Click here to see answer by Fombitz(32388) About Me 

Question 1087593: When an object is dropped from a height of 20.0 m above the surface of Planet Z, it will fall
5.00 m during the 2nd second of the fall. What is the acceleration near the surface of the
planet?

Click here to see answer by ikleyn(52775) About Me 
Question 1087593: When an object is dropped from a height of 20.0 m above the surface of Planet Z, it will fall
5.00 m during the 2nd second of the fall. What is the acceleration near the surface of the
planet?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1087894: the smaller of two numbers is 7/8 of the lager. Their sum is 30. Find the two numbers
Click here to see answer by ikleyn(52775) About Me