Mathematics Homework Solutions

Formula used to solve these two geometry problems

Use the given coordinates to find the coordinates of point Q. See attached file for full problem description. See attached file for full problem description.

Euclidean Geometry

See attached file for full problem description.

Geometry Problems

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of ...continues

Creative ways to teach surface area and volume

You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school. On tonight's agenda, you will be brainstorming creative ways to teach surface area and volume. The teachers are especially interested in methods which will help the students connect geometry to li ...continues

Calculating Volume

6. What is the volume of a regular square pyramid which has a total area of 360 if the square base is 10 on a side. 9. How long is the edge of a cube whose total area is numerically equal to it's volume? 15. A cube has a cylinder inscribed inside of it. That cylinder has a sphere inscribed inside of it. What is the rati ...continues

Geometry Problems

8. A right triangle with legs of 5 and 12 is rotated about it's hypotenuse to form a solid which is pointed at two ends. What is the volume of that solid? (exactly in terms of pie) 10. The shortest sides of two similar polygons are 5 and 12. How long is the shortest side of a third similar polygon whose area equals the su ...continues

20 algebra problems about quadratic equations

Solve: 1. (4s + 9)^2 = 36 2. f(x) = x^2 + 18x 3. z^2 + 18z + 64 = 0 5. 7n^2 = 10n - 2 6. 5r^2 + 20r = -18 7. -7x^2 - 5x = 9 8. f(x) = 3x^2 - 5x - 1 Find the vertex: 13. f(x) = (x + 6)^2 - 2 Graph: 12. f(x) = -4(x + 7)^2 + 4 15. f(x) = -x^2 + 2x - 7 Find the x and y intercepts: 16. f(x) = 2x^2 + 6x + 1 S ...continues

Geometry Problems

The first problem is an attachment. The second problem as follows: 10. The shortest sides of two similar polygons are 5 and 12. How long is the shortest side of a third similar polygon whose area equals the sum of the areas of the others. 18. The radius of a wheel is 35 inches. How far will the wheel travel in 15 revolu ...continues

Geometry Questions

19. In a circle, the arc of a chord is 2pie sq.rt.2. The radius of that circle is 3sq.rt. 2. Find the area bounded by that chord and that arc. 20. 240 spheres, each of radius 2, are placed in a box in 5 layers. There are 6 rows with 8 spheres in each row at each layer. The outside spheres are each tangent to the box and ...continues

Geometry Problems

Please explain in full detail the steps to these problems. Do not do #25 instead explain the following: 18. What is the area of a square if the length of a diagonal is 4 sq. rt. 2? 22. The floor of a room is 120 feet by 96 feet. The ceiling is 9 feet above the floor. Everything is to be painted except the floor. (Don’t worr ...continues

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