Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 1168927: television screens are usually measured by the length of its diagonal. the television set has a 60-inch diagonal. the screen is 12 inches wider than its length. find the dimensions of the screen. (1 variable only)
Click here to see answer by ikleyn(52781)  |
Question 1169197: Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = −4x. The east edge cannot intersect with the west edge. On which line could the east edge be located?
y − 4x = −200
−4x − y = −50
4x − y = −200
−y + 4x = −50
Click here to see answer by Solver92311(821)  |
Question 1169508: Help me solve this, please!
The length of a rectangle is one more than the width. If the dimensions are both decreased by 2 units, the ares of the new rectangle is 30 sq. units less than the area of the original rectangle. Find the area of the original rectangle.
Click here to see answer by ikleyn(52781)  |
Question 1169665: cindy is standing at a point A west of a mountain. From point A, the angle of elevation to the top of the mountain is 32 degrees. From point B, which is 8325 feet to the east of point A (and east of the mountain) the angle of elevation to the top of the mountain is 42 degrees. Determine the height of the mountain to the nearest tenth of a foot.
Click here to see answer by Boreal(15235)  |
Question 1169751: Mr. Santos wants to enclose the rectangular parking lot beside his house by putting wire fence onthe three sides as shown in the figure. If the total lenght of the wire is 80 m, find the dimension of the parking lot that will enclose a maximum.
Questions:
1. In the figure abouve, if we let w be the width and l be the lenght,what is the expression for the sum of the measures of the three sides of the parking lot?
2. Whaf is the lenght of the rectangle in terms of the width?
3. Express the area (A) of the parking lot in terms of the width.
4. Fill up the table by having some possible values of w and the corresponding areas.
5. What have you observed about the area (A) in relation to the width (w)?
6. What is the dependent variable? Independent variable?
7. Compare the equation of a linear function with the equation you obtain
Click here to see answer by ikleyn(52781)  |
Question 1169836: the plumber wants to cut a 24-ft length of pipe into three sections. the largest piece should be twice the length of the middle piece, and the middle pieces and the middle piece should be twice the length of the smallest pieces. how long should each piece be?
Click here to see answer by josgarithmetic(39617) |
Question 1170241: There are two equilateral triangles with different areas. In the first, the distance OA is 9 cm, and in the second, the distance OC is 4√2 cm, where O is the circumcenter of the triangle. What is the ratio of the area of the first to the area of the second?
Click here to see answer by Alan3354(69443)  |
Question 1170898: A corner triangular lot located at an intersection of a street is to be fully fenced by its owner.
The sides adjacent to the street have lengths 125 meters and 140 meters respectively. The
angle formed by the sides of the street is 112°. If the fencing material needed costs Php 270 per meter, how much will the owner spend to
fence the entire lot? At what angles must the fencing be made from each corner of the lot? What is the total lot area of the property?
Click here to see answer by ikleyn(52781)  |
Question 1171169: A small dog pen is being built in the shape of a square with 12 foot sides. To check for "squareness" it is necessary to measure the diagonal of the pen. What should the diagonal measurements be if the pen is truly square?
Click here to see answer by ikleyn(52781)  |
Question 1171561: An 18-inch pizza is to be equally divided among the group of 8 people.
a. What is the central angle created by three cuts of pizza?
b. Determine the arc length for the three cuts of pizza.
c. If a cut of pizza had an arc length of 9π/4, what is the area of the cut of pizza to the nearest tenth of a square inch?
Click here to see answer by Theo(13342)  |
Question 1171560: To determine the distance across a lake, a surveyor selected two points P and Q, one on each shore and directly
opposite each other. On the shore containing P, another point R was chosen, 50 ft from P, so that the line segment PR
was perpendicular to the line segment PQ. The angle having the sides PR and PQ was measured to be 78.24°. What
is the distance across the lake? Round off your answer to two decimal places.
Click here to see answer by math_tutor2020(3816) |
Question 1171703: A Norman window consists of rectangle surmounted by a semicircle. If the
perimeter of a Norman window is 32 ft, what should be the radius of the
semicircle and the height of the rectangle such that the window will admit most
light?
Click here to see answer by ikleyn(52781)  |
Question 1171722: A Nico window consists of rectangle surmounted by a semicircle. If the perimeter of a Norman window is 32 ft, what should be the radius of the semicircle and the height of the rectangle such that the window will admit most light?
Express answer in terms of the constant π.
Click here to see answer by ikleyn(52781)  |
Question 1171991: 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.
Click here to see answer by ikleyn(52781)  |
Question 1171913: The cross section of a window box planter is an
isosceles trapezoid with an area of 96 inItem Editor Image. The
bases of the cross section have lenghts of 10 in
and 14 in. What is the height, in inches, of the
planter?
Click here to see answer by Boreal(15235)  |
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