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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 1177486: In parallelogram ABCD, AB=125cm, AD=132cm, and the length of diagonal AC is 37cm. The area of the parallelogram, in cm squared, is
a) 1155 b) 2310 c) 2442 d)4620 e)4884
Click here to see answer by ikleyn(52780)

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 1177514: Triangle ABC has its coordinate at A(a,-1),B(8,-1) and C(5,4).If the base is twice the height, find a.
Click here to see answer by ikleyn(52780)

Question 1177514: Triangle ABC has its coordinate at A(a,-1),B(8,-1) and C(5,4).If the base is twice the height, find a.
Click here to see answer by MathLover1(20849)

Question 1177512: Triangle ABC has its coordinate at A(a,-1),B(8,-1) and C(5,4).If the base is twice the height, find a
Click here to see answer by ikleyn(52780)

Question 1177621: The length of a rectangle is 4cm more than its width. Its diagonal is 8cm more than its width. What is the width of the rectangle? Show the solution.
Click here to see answer by mananth(16946)

Question 1177620: The lengths of the diagonals of a rhombus are 14 and 16. Find the measure of the length of the sides of a rhombus.
Click here to see answer by mananth(16946)

Question 1177620: The lengths of the diagonals of a rhombus are 14 and 16. Find the measure of the length of the sides of a rhombus.
Click here to see answer by ikleyn(52780)

Question 1177619: One angle of a parallelogram is 12 less than five times the measure of the angle next to it. Find the measure of the adjacent angles of the parallelogram. Show the solution.
Click here to see answer by Boreal(15235)

Question 1177639: If the kite fell vertically to the ground, how far away from the stake would the kite land. The kite that is tethered to the ground equals 40 feet long and makes an angle of 60 degrees with the ground.
Click here to see answer by mananth(16946)

Question 1177809: A rectangle is inscribed in a circle of radius R/3. Express the perimeter of the rectangle as a function of its width. Answer will have constant R in it and make sure to use function notation.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1177914: There are 4 identical wooden blocks that are 20 inches long, 2 inches wide and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?
Click here to see answer by ikleyn(52780)

Question 1178017: The length of a rectangle is six times the width. If the area of the rectangle is 294 square inches, then find the length and width.

Click here to see answer by MathLover1(20849)

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 1178096: A hollow metal sphere is made of metal 4mm thick and has external diameter of 12cm. If the density of the metal is 8.8g/cm cube,what is the mass of the sphere
Click here to see answer by mananth(16946)

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 1178120: The perimeter of a rectangle garage is 44 meters. The area is 120 square meters. What are the dimensions of the garage?
Click here to see answer by josgarithmetic(39617)

Question 1178120: The perimeter of a rectangle garage is 44 meters. The area is 120 square meters. What are the dimensions of the garage?
Click here to see answer by greenestamps(13200)

Question 1178171: A triangular field has two sides 60m and 75m long and the angle between them is 702degree how long is the third side

Click here to see answer by ikleyn(52780)

Question 1178525: Determine which three lengths cannot be the measure of the sides of a triangle.

2 m, 5 m, 6 m
8 m, 10 m, 17 m
5 m, 20 m, 22 m
4 m,15 m, 20 m
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 1179157: A scale factor of 3 is applied to a triangle that has a perimeter of 36 centimeters. What is the perimeter of the resulting triangle?
Click here to see answer by MathLover1(20849)

Question 1179244: Suppose that the width of a rectangle is three times less than two thirds of its length. The perimeter of the rectangle is one hundred and forty four centimetres. Find the length and width

Click here to see answer by ikleyn(52780)

Question 1179349: a rectangular room is 1.8 times as long as it is wide, its perimeter is 29 meters. find the diminsion of the room
Click here to see answer by Boreal(15235)

Question 1179349: a rectangular room is 1.8 times as long as it is wide, its perimeter is 29 meters. find the diminsion of the room
Click here to see answer by mananth(16946)

Question 1179481: A theater can seat 247 people. The number of rows is 6 less than the number of seats in each row. How many rows of seats are there?

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 1179504: Given the vertices of a triangle are P (3,7), Q(-8,2) and R(-4,-9). Determine the equation of the altitude that passes through the point P.
Click here to see answer by greenestamps(13200)

Question 1179503: An airport is located at D(0,0). A plane is currently positioned at C(-9, - 16). The radar system at the airport covers the area defined by x2 + y2 = 324. Will the plane show up on the radar at its current position? Explain.
Click here to see answer by greenestamps(13200)

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 1179514: Given the vertices of a triangle are P (3,7), Q(-8,2) and R(-4,-9). Determine the equation of the altitude that passes through the point P.
Click here to see answer by mananth(16946)

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 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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