Questions on Word Problems: Geometry answered by real tutors!

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Question 574963: a pie-shaped (triangular) lake-front lot has a perimeter of 1200 ft. One side is 200 ft longer than the shortest side, while the third side is 400 feet longer than the shortest side. What are the lengths of all three sides?

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Question 477556: A square has an area of x^2 + 6x + 9 find the length of a side. Make a sketch of the square Please help
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Question 488212: The perimeter of this block of land is 72 m. Find:
a the length of the block
b the area of the block.
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Question 495218: Please help me solve the word problem using
The Rational Zero Theorem
An open metal tank is to be made from a rectangular piece of stainless steel that measures 12 by 6 feet, by cutting out squares of the same size from each corner and bending up the sides. If the volume of the tank is to be 50 ft^3 , how large the square should be cut from each corner?
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Question 556812: ANGLE ABE AND ANGLE CBD ARE VERTICAL ANGLES AND BOTH ARE COMPLEMENTARY WITH ANGLE FGH, IF m ANGLE ABE = (3x-1) AND m ANGLE FGH = (4x), what is m ANGLE CBD?
THIS IS THE CORRECT QUESTION..MESSED UP THE ONE BEFORE THIS
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Question 1165224: Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least 4200 and less than 15400 miles each year. How many times would Miles need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Click here to see answer by ikleyn(52958)

Question 1168317: The length of the base of the triangular sheet of canvass above the door of the tent is 3 ft. more than its height (altitude). The area is 5 ft2. Find the height and the length of the base of the triangle.
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Question 1170888: The triangles ABC and XYZ are similar. The side AB is 5 cm long. The sides BC and
YZ are 7 cm and 3 cm longer than the side XY, respectively. Find the length of XY.
Click here to see answer by MathTherapy(10561)

Question 1209920: It has been done before on this website but the question was wrong:
Two identical squares with side of (1+sqrt(2))m overlap to form a regular octagon. What is the area of the octagon?
Click here to see answer by greenestamps(13219)

Question 1173661: Triangle A, B and C are three points on a horizontal field. A is due west of B, the bearing of B from C is 125 degrees, AB = 430m and BC = 460m.
At a certain instant, a hot air balloon is at a point which is directly above C.Given that the angle of elevation of the hot air balloon from B is 5.2 degrees, find the angle of elevation of the hot air balloon from A.
Click here to see answer by CPhill(1987)

Question 1173737: Airport B is 320 miles from airport A on a bearing of S40°E. A pilot wishes to fly from A to B, but to avoid a storm must first fly due East at a speed of 210 mph for an hour, and then from this point (call it C) turns to fly to B. Find the distance, to the nearest mile, and the bearing, to the nearest degree, that the pilot must fly to airport B?

Click here to see answer by CPhill(1987)

Question 1180959: In a circle with diameter of 12 inches, a regular five-pointed star is inscribed. What is the area of thet part not covered by the star
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Question 1186123: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west of A, the elevation is 30°. If AB = 3 km, what is the height of the tower?
Click here to see answer by math_tutor2020(3822)

Question 1188293: The direction of a railroad cut is perpendicular to the horizontal ridge AB. Assuming the sides of the ridge to be plane surfaces making equal angles with the horizontal, find the amount of earth removed if the base is a rectangle, 30 ft. wide by 400 ft. long, in a plane 60 ft. below the line AB; and the sides of the cut are inclined 45 degrees to the horizontal.
Click here to see answer by CPhill(1987)

Question 1209516: my friend drives north for 4 miles and my other friend drives west for 5 miles, what is the distance between my friends.

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Question 1209516: my friend drives north for 4 miles and my other friend drives west for 5 miles, what is the distance between my friends.

Click here to see answer by josgarithmetic(39633)

Question 1209061: Verify that the points (0,0), (a,0) and (c,d) are the vertices of an equilateral triangle.
Note: c = (a/2) and d = (a•sqrt{3})/2
Then show that the midpoints of the 3 sides are the vertices of a second equilateral triangle.
Click here to see answer by textot(100)

Question 1209079: Overlay a rectangular coordinate system on a Little League baseball diamond so that the origin is at home plate, the positive x-axis lies in the direction from home plate to first base, and the positive y-axis lies in the direction from home plate to third base.
(a) What are the coordinates of first base, second base, and third base? Use feet as the unit of measurement.
(b) If the right fielder is located at (180,20), how far is it from the right fielder to second base?
(c) If the center fielder is located at (220,220), how far is it from the center fielder to third base?
Click here to see answer by textot(100)

Question 1199923: Find the maximum number of non-overlapping regions into which 10 additional straight lines can subdivide this figure.
https://ibb.co/gPRWCRR
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Question 1199950: Find the maximum number of non-overlapping regions into which 10 additional straight lines can subdivide this figure.
Figure: https://ibb.co/99bk08m
Thanks so much!
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Question 1200029: Find the maximum number of non-overlapping regions into which 10 additional straight lines can subdivide this figure.
Figure: https://ibb.co/99bk08m
Thanks so much!
Click here to see answer by textot(100)

Question 1209064: Find all points on the x-axis and y-axis that are 6 units from the point (4,-3).
Click here to see answer by timofer(111)

Question 1209076: A hot-air balloon, headed due east at an average speed of 25 miles per hour and at a constant altitude of 125 feet, passes over an intersection. Find the expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.
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Question 1209077: When a draftsman draws three lines that are to intersect at one point, the lines may not intersect as intended and subsequently will form an error triangle. If this error triangle is long and thin, one estimate for the location of the desired point is the midpoint of the shortest side.
A. Find an estimate for the desired intersection point.
B. Find the length of the median for the midpoint found in part A.
C. Show this error triangle on the xy-plane.
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Question 1209078: A Dodge Neon and a Mack truck leave an intersection at the same time.The Neon heads east at an average speed of 40 miles per hour, while the truck heads south at an average speed of 50 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours.
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Question 1209060: Find the midpoint of each diagonal of a square whose side length is x. Is it true that the diagonals of a square intersect at their midpoint?

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Question 1209062: The midpoint of the line segment from A to B is (5,-4). If B = (7,-2), what is A?
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Question 1209062: The midpoint of the line segment from A to B is (5,-4). If B = (7,-2), what is A?
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Question 1209062: The midpoint of the line segment from A to B is (5,-4). If B = (7,-2), what is A?
Click here to see answer by math_tutor2020(3822)

Question 1209062: The midpoint of the line segment from A to B is (5,-4). If B = (7,-2), what is A?
Click here to see answer by mccravyedwin(412)

Question 1209063: Find all points having a y-coordinate of -6 whose distance from the point (1,2) is 17.
(a)By using the Pythagorean Theorem.
(b)By using the distance formula.
Click here to see answer by ikleyn(52958)

Question 1209041: Find the midpoint given two points: [(a+b)/2, (c+d)/2] and [(a-b)/2, (c-d)/2].
Click here to see answer by ikleyn(52958)

Question 1209044: Find all points having a y-coordinate of -6 whose distance from the point is 17.
(a)By using the Pythagorean Theorem.
(b)By using the distance formula.
Click here to see answer by ikleyn(52958)

Question 1209027: Find the lengths of the medians of the triangle whose vertices are A = (0.0), B =(6,0), and C = (4,4).
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Question 1209028: If two vertices of an equilateral triangle are (0,0) and (0,4), find the third vertex. How many of these triangles are possible?
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Question 1209028: If two vertices of an equilateral triangle are (0,0) and (0,4), find the third vertex. How many of these triangles are possible?
Click here to see answer by math_tutor2020(3822)

Question 1209026: Find all points having a y-coordinate of whose distance from the point is 17.
(a)By using the Pythagorean Theorem.
(b)By using the distance formula.
Click here to see answer by greenestamps(13219)

Question 1209013: Find the approximated change in the volume of a
rectangular solid caused by increasing each side by
5%.
15

Click here to see answer by timofer(111)

Question 1209000:
A 39-ounce can of Hills Bros. coffee requires 188.5 square inches of aluminum. If its height is 7 inches, what is its radius?
[Hint: The surface area S of a right cylinder is S = 2pi•r2 + 2pi•rh, where r is the radius, and h is the height.]

Click here to see answer by ikleyn(52958)

Question 1208967:
A pond is enclosed by a wooden deck that is 3 feet wide.The fence surrounding the deck is 100 feet long.
(a) If the pond is square, what are its dimensions?
(b) If the pond is rectangular and the length of the pond is to be three times its width, what are its dimensions?
(c) If the pond is circular, what is its diameter?
(d) Which pond has the most area?

Click here to see answer by ikleyn(52958)

Question 1208965: the length of a rectangle is 7 more that 3 times its width. if the perimeter is 38 cm, what is the area, in square centimeters, of the rectangle

Click here to see answer by mccravyedwin(412)

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