Let A = (4, 2, -4), B = (0, 1, -1), C = (5, 7, 0), and D = (1, 6, 3). Find the area of the parallelogram determined by these four points, the area of the triangle ABC, and the area of the triangle...
Let A = (4, 2, -4), B = (0, 1, -1), C = (5, 7, 0), and D = (1, 6, 3). Find the area of the parallelogram determined by these four points, the area of the triangle ABC, and the area of the triangle...
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 840 centimeters and the length of the base of the window is 122 centimeters, find the total...
i need to find the length and width of this poster also the perimeter
A box in the shape of a cube needs to be painted. The box does not have a lid. The box is 1.1m high. If the inside and outside need painting what is the total area to be painted?
A triangle has two sidesof 25cm and 30cm. The angle between the two sides is 30°. Find: a) the area b) the length of it's third side c) the area using heron's formula Answers: a)...
Jonathan wants to wallpaper the four walls of his room. The room is rectangular and measures 11ft by 13ft. The ceiling is 10ft high. A roll of wallpaper Jonathan has chosen is 2.5ft wide and...
Find the area of the region bounded by y=-x^3+3, y=x, x=-1 and x=1
The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a rate of 3.000 square centimeters/minute. At what rate is the base of...
You have 180 yards of fencing to use on three sides of a garden. The fourth side is the tool shed. a. What is the maximum area that you can fence? b. What are the dimensions of the garden...
When an isosceles triangle is folded so that its vertex is on the midpoint of the base, a trapezoid with an area of 12 square units is formed.Find the area of the original triangle.
A farmer is planning to put in a garden next to his barn. He is planning to fence in the garden on three sides (the barn will make the fourth side). He has 100 feet of fencing to use. Find an equation...
the width of a pasture is 40 yards more than twice its length. if the area is 2250 square yards what is the length of the pasture?
Two parabolas y=16-3x2 and y=x2-9 are drawn. A rectangle is contructed with sides parallel to the coordinate axes with the two upper vertices on the graph of y=16-3x2 and the two lower vertices...
A piece of wire 200 cm is cut into two pieces: one a square and another a circle. Where should the cut be made if the sum of the two areas (square and circle) is to be a minimum.
A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass.
The image: https://media.glynlyon.com/g_geo_2013/8/23183_5.gif Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if BY =...
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great. Answers to choose from: A...
Image: https://media.glynlyon.com/g_geo_2013/8/23183_5.gif Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if XY = 2, AC...
The area of a room is 99-3/7 square feet. The area of the kitchen is 1-3/4 the area of room. If the length of kitchen is 14-1/2 feet how wide is the kitchen? I have no idea where...
Suppose you have an isosceles triangle, and each of the equal sides has a length of foot. Suppose the angle formed by those two sides is 45 degrees . The area of the triangle is 0.3536 square...