Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1177358: 3. The function h = −0.25 d² + 0.8d models the height, h meters, of a soccer ball in terms of the horizontal distance, d meters, from where the ball was kicked.
a) Find the horizontal distance the ball travels until it first hits the ground. Show work.
Use both the factoring method and the quadratic formula method to obtain your answer.
Click here to see answer by Solver92311(821)  |
Question 1177358: 3. The function h = −0.25 d² + 0.8d models the height, h meters, of a soccer ball in terms of the horizontal distance, d meters, from where the ball was kicked.
a) Find the horizontal distance the ball travels until it first hits the ground. Show work.
Use both the factoring method and the quadratic formula method to obtain your answer.
Click here to see answer by MathLover1(20849)  |
Question 1177491: A garden path surrounds a circular garden. The garden path is 5 feet wide all the way around and the distance around the outside of the garden path is 80 feet.
(a) What is the radius of the circle that forms the outside of the garden path? Approximate to two decimal places using 3.14 as the value of Pi.
(b) What is the area of the garden (inside the path)? Explain.
(c) What is the area of the garden path itself? Explain.
Click here to see answer by mananth(16946)  |
Question 1177499: A landscape architect is planning a rose garden. The garden will have a circular fountain with a diameter of 10 meters centered at the point of intersection of the diagonals of the rose garden. The vertices of the rose garden will be placed at points A, B, C, and D. Each unit in the diagram represents 10 meters.
What equation represents the fountain? Write the equation in standard form.
Click here to see answer by ikleyn(52780)  |
Question 1178023: if a solid steel cylindrical rod is 8 cm in length and has a diameter of 2.5 cm and steel weigh 7.847 g/cm^3, how much does the rod weigh? round the answer to the nearest gram
i know 3.149(2.5^2)(8) is for the volume ... i think... then i would multiply that answer by the 7.847 f/cm^3 right?
Click here to see answer by mananth(16946)  |
Question 1178023: if a solid steel cylindrical rod is 8 cm in length and has a diameter of 2.5 cm and steel weigh 7.847 g/cm^3, how much does the rod weigh? round the answer to the nearest gram
i know 3.149(2.5^2)(8) is for the volume ... i think... then i would multiply that answer by the 7.847 f/cm^3 right?
Click here to see answer by Alan3354(69443)  |
Question 1178100: A hiker wants to determine the height of a tree. She measures the tree's shadow to be 17.1 meters long. Her own shadow at the same time is 1.8 meters long. If the hiker is 1.7 meters tall, how tall is the tree?
Click here to see answer by mananth(16946)  |
Question 1178830: Billy likes to go cycling. His bike has wheels of diamiter 75cm. He has a counter on his bike which counts the numer of revolutions the wheel make. One day the counter shows 110 revolutions. How far has billy cycled? Give your answer to the nearest metre.
Click here to see answer by ikleyn(52780)  |
Question 1179468: The vertices of a kite are A (-3,1), B(0,5), C(4,2) and D(2, -9).
Determine the lengths of the four sides of the kite. What do you notice?
Determine the slopes of the diagonals (from one corner to the other corner)
What do you notice?
Find the midpoint of the diagonal AC.
Find the equation of the diagonal BD.
Show the midpoint of AC lies on the equation of a line though BD.
Analyze the previous calculations and list as many properties of a kite as you can.
Click here to see answer by MathLover1(20849)  |
Question 1179502: A circle with a centre of (0,0) is defined by the equation x2 +y2 = 100.
Determine the radius of the circle.
The points A(0, _ ) , B( _ ,0) and C( _ , _ ) are points on the circle. Determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates. Provide calculation to show the points lie on the circle.
Use analytic geometry to determine the equations of the perpendicular bisectors of the chords AB and AC.
Show that the point (0,0) is the intersection of the perpendicular bisectors.
Click here to see answer by greenestamps(13200)  |
Question 1179501: A circle has a centre of (0,0) and a radius of 13.
Draw a circle with a centre of (0,0) and a radius of 13. You may use Geogebra for this assignment, or some other graphing software, or you may draw the graph by hand on graph paper.
The points A(0, _3 ) , B( -3 ,0) and C( -1, -3 ) are points on the circle. From your graph, determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates.
Construct the chords AB and AC.
Construct the perpendicular bisectors of the chords.
Construct the intersection of the perpendicular bisectors of the chords. Where do the bisectors intersect?
Click here to see answer by greenestamps(13200)  |
Question 1179513: The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).
Find the equation of the perpendicular bisector of the side QR.
Find the slope of the median of the triangle that passes through point R.
Find the slope of the altitude of the triangle that passes through point Q.
Click here to see answer by mananth(16946)  |
Question 1179512: A circle has a centre of (0,0) and a radius of 13.
Draw a circle with a centre of (0,0) and a radius of 13. You may use Geogebra for this assignment, or some other graphing software, or you may draw the graph by hand on graph paper.
The points A(0, _ ) , B( _ ,0) and C( _, _ ) are points on the circle. From your graph, determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates.
Construct the chords AB and AC.
Construct the perpendicular bisectors of the chords.
Construct the intersection of the perpendicular bisectors of the chords. Where do the bisectors intersect?
Click here to see answer by MathLover1(20849)  |
Question 1179512: A circle has a centre of (0,0) and a radius of 13.
Draw a circle with a centre of (0,0) and a radius of 13. You may use Geogebra for this assignment, or some other graphing software, or you may draw the graph by hand on graph paper.
The points A(0, _ ) , B( _ ,0) and C( _, _ ) are points on the circle. From your graph, determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates.
Construct the chords AB and AC.
Construct the perpendicular bisectors of the chords.
Construct the intersection of the perpendicular bisectors of the chords. Where do the bisectors intersect?
Click here to see answer by greenestamps(13200)  |
Question 1179566: The figure shows a sketch of a circular children's park and the different pathways from the main road. If the distance from the main road to Gate 2 is 70m and the length of the pathway from Gate 2 to the Exit is 50m. About how far the main road is Gate 1?
Click here to see answer by mananth(16946)  |
Question 1179565: A map shows that the waters within arc ARC, a 250° arc, is dangerous for shipping vessels. In the diagram, two lighthouses are located at points A and C and points P, R, and S are the locations of the ship at a certain time, respectively.
A. What are the possible measures of angle P, angle R, and angle S?
B. If you were the captain of a ship, how would you make sure that your ship is in safe water?
Click here to see answer by mananth(16946)  |
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