Questions on Word Problems: Geometry answered by real tutors!

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Question 948572: Please help me answer this question: Show that for all real values of 'a' greater than 4. X^2-2X+a=3 will have non-real roots.
Click here to see answer by josgarithmetic(39617)

Question 948573: Please help me answer this: For what values of k will the equation 3x^2=k-2x have real roots?
Click here to see answer by MathLover1(20849)

Question 948617: The volume of a box is given by V = 2x^3 - 11x^2 + 10x + 8. Find an expression for the missing dimension.
Length = 2x + 1
Face Area= x - 4 * ?
What I have so far is:
V = 2x + 1 * x - 4 * ?
Which is:
2x^3 - 11x^2 + 10x + 8 = 2x + 1 * x - 4 * ?
I used synthetic division to divide V by x - 4 and got 2x^2 - 3x - 2
Then I used polynomial long division to divide that by 2x + 1 and got x + 2
However the answer key says it is x - 2 not x + 2.

Click here to see answer by josgarithmetic(39617)

Question 948679: when a 10-in. shell is shot from a mortar at an angle of 75 degrees, the height, y (in feet), of the shell t sec after being shot from the mortar is given by y=-16t^2 +224t and the horizontal distance of the shell from the mortar, x (in feet), is given by x= 63t.
How high is the shell after 3 sec ?
Click here to see answer by Alan3354(69443)

Question 948725: The circumference of a circle is 36pi in centimeters. What is the length of an arc of 200 degrees?
Click here to see answer by amarjeeth123(569)

Question 948725: The circumference of a circle is 36pi in centimeters. What is the length of an arc of 200 degrees?
Click here to see answer by Zucchini(70)

Question 948661: a wire is attached to the top of a pole. the wire is 1 ft longer than the pole, and the distance from the wire on the ground to the bottom of the pole is 1 ft less than the height of the pole. find the length of the wire and the height of the pole
Click here to see answer by ankor@dixie-net.com(22740)

Question 948819: A wire that is 76 inches lonh is bent to form a rectangle. If the length of this rectangle is 7 inches less than twice its width, then what is the area of the rectangle?

Click here to see answer by booklover15(10)

Question 948863: the length of a cell phone is 7 inches. if the area of the cell phone is measures 21 square inches , what is the width of the other side of the phone ?
Click here to see answer by iela94(4)

Question 948922: Find the length of a rectangular lot with a perimeter of 94 meters if the length is 5 meters more than the width. Remember P=2L+2W

L=21m
L=26m
L=47m
L=52m

Click here to see answer by Fombitz(32388)

Question 948937: Consider a slide shaped like a right triangle. The base of the slide is 45 feet away from the ladder. The top of the slide is 20 feet high. a) What is the slope of the slide. b) write an equation for the line that the slide would form. c) Lets say you were standing at the bottom of the slide and walked 27 feet closer to the ladder. How high is the slide at this point? d)If the slide was 50 feet long, what would be the new slope
Click here to see answer by stanbon(75887)

Question 949063: Your backyard is a 36 ft. by 50 ft. rectangle. You plan to put a circular pool in your backyard. If you call the bottom left hand corner of the picture the origin, find the equation of the largest possible circular pool you could fit in your yard if you want to locate it as far to the right as possible and with enough room to put a 4 foot wide walkway all the way around the pool.
Click here to see answer by macston(5194)

Question 949086: 2508 is the area of a rectangle and 202 is the
perimeter what is the length; width?
Click here to see answer by josgarithmetic(39617)

Question 949086: 2508 is the area of a rectangle and 202 is the
perimeter what is the length; width?
Click here to see answer by MathTherapy(10552)

Question 949076: A circular pen has an area of 64 times 3.14 square yards. What is the circumference of the pen?
Click here to see answer by macston(5194)

Question 949117: one leg of a right is 2 millimeters shorter than the longer leg and the hypotenuse is 2 millimeters longer than the longer leg. find the lengths of the sides of the triangle. find the lengths of the sides of the triangle
Click here to see answer by macston(5194)

Question 948985: A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as shown in the figure. Express the area of the path, A, in square meters, as a function of its width, x, in meters.
Click here to see answer by josgarithmetic(39617)

Question 949125: please help me to answer this question: the distance across the flat of a rectangular hexagon is 8mm construct the polygon.thanks
Click here to see answer by Alan3354(69443)

Question 948402: A piece of wire x inches is bent into an equilateral triangle. Find a function of x that represents the area of the triangle
Click here to see answer by macston(5194)

Question 949265: How many yards of 50" fabric is needed to cover a round table with a 32" surfice with a 5" over hang.
Click here to see answer by stanbon(75887)

Question 949290: As you sit in your chair, you are whirling through space with Earth as it moves around the sun. If the average distance from Earth to the sun is 1.4957 X 10 to the 11th power M and Earth completes one revolution every 364.25 days, what is your "sitting" speed in space relative to the sun? Give answer in km/h, rounded to the nearest 100 km/h.
Click here to see answer by Alan3354(69443)

Question 949291: A satellite in geostationary orbit stays over the same spot on Earth. The satellite completes one orbit in the same time that Earth rotates once about its axis (23.93 hours) . If the satellite's orbit has radius 4.23 X 10 to the 7th power m, calculate the satellite's orbital speed (tangential velocity) in meters per second.
Click here to see answer by Alan3354(69443)

Question 949300: A rectangular box with square base and a fixed volume (V) is to be made from two types of material. The material for the top and bottom costs t cents per square inch and the material for the sides costs s cents per square inch. Let the length of the base be x and the height be h. Find x and h(in terms of V, t, s) so that the cost is minimal.
Click here to see answer by Fombitz(32388)

Question 949266: 1. The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Write an equation to represent the area of the window. Please have your final equation equal to zero.
Click here to see answer by Alan3354(69443)

Question 949306: billy likes to go cycling
his wheels have a diameter of 70cm
he has invented a counter for his bike, which counts how many revolutions the wheel makes
the counter shows 190 revolutions
how far has billy cycled?
Click here to see answer by Zucchini(70)

Question 948467: Locate the center, foci, vertices, ends of latera recta, & draw the ellipse. also compute the eccentricity & find the equation of the directices.
2.x^2/36+y^2/16=1

Click here to see answer by macston(5194)

Question 949471: Please someone helps me answer this. The face of the triangular concrete panel has an area of 7 square meters, and its base of 3 meters longer than twice its height.Find the length of the base.
Click here to see answer by macston(5194)

Question 949486: What is the Answer? Winton takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 55 centimeters long and 48 centimeters wide, how long is the diagonal cut that Winton made?
Click here to see answer by macston(5194)

Question 948466: Locate the center, foci, vertices, ends of latera recta, & draw the ellipse. also compute the eccentricity & find the equation of the directices.
1. 9x^2+25y^2=225
Click here to see answer by macston(5194)

Question 949602: Farmer Ed has 4,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?
Click here to see answer by macston(5194)

Question 949604: Farmer Ed has 4,000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?
length is 4000-2x
width is x on each side of the rectangle
Click here to see answer by macston(5194)

Question 949665: A square lawn is surrounded by a path 2.5m wide around it. If the area of the path is 200 square metre, find the area of lawn?
Click here to see answer by MathLover1(20849)

Question 949417: A storage room is 900 cm long. The height of the the length to the width to the height is 8:5:7.
1. What is the difference between the height and width in metres?
2. What is the volume of the storage in cubic metre?
Click here to see answer by macston(5194)

Question 949668: The perimeter of a rectangle is 14cm. If the diagonal is 5cm, find the dimensions of the rectangle.
Click here to see answer by macston(5194)

Question 949678: 1. the perimeter of a rectangle is 400cm. The length is 40cm longer than the width. find the length and width.
2. Jack is twice as old as lacy. In three years the sum of their ages will be 63. How old are they now?
3. The price of a swimming pool has been discounted 15%, the sale is 1000. find the original list price of the pol.
4. The product of two consecutive odd number is 14 more than the square of the smaller number, find the two numbers.
Click here to see answer by macston(5194)

Question 949745: The width of a computer monitor is 31 cm.if the perimeter is 148 cm, what is the area of the computer monitor
Click here to see answer by macston(5194)

Question 949772: A water reservoir is shaped like a rectangular solid with a base that is 50 yards by 30 yards, and a vertical height of 20 yards. At the start of a three month period of no rain, the reservoir was completely full. At the end of this period, the height of the water was down to 6 yards. How much water was used in the three month period?
Click here to see answer by Alan3354(69443)

Question 949771: A scale model of a car is constructed so that its length, width, and height are each 1/10 the length, width, and height of the actual car. By how many times does the volume of the car exceeds its scale model?
Click here to see answer by Alan3354(69443)

Question 949797: A spherical balloon has a volume of 50(pi)cubic units.
What is the diameter of the balloon?
Click here to see answer by Alan3354(69443)

Question 949856: In triangle ABC, the measure of angle A is 30 degrees more than the measure of angle B. The measure of angle B is the same as the measure of angle C. Find the measure of each angle.
Click here to see answer by macston(5194)

Question 949857: A rectangle has an area of 36 square feet and a base of 9 feet . what is the perimeter of the rectangle?
Click here to see answer by macston(5194)

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