I need help writing a proof of the formulas of the volumes of two regular polyhedra (Platonic solids): (1) a tetrahedron and (2) an octahedron. I then have to use those formulas to find the volumes given a side length of 1.
Solve the triangle, round lengths to the nearest tenth and angle measures to the nearest degree. Please show work and see attachment.
Please see attachment and show work.
See the attached file. Solve the triangle. Round lengths to the nearest tenth and degrees. 1. B = 43, C = 107, B = 14 2. C = 110, a = 5, b = 11 3. B = 54, C = 112, b = 35 Find the solution 2 cos(theta) + 1 = 0.
Determine graphically the vertices of the triangle , the equations of whose sides are y=x; y=0; 2x+3y=10
One is the square root of 5-3, One is the square root of 5+3, One is 4
Please see the attached file for full question.
See attached file for full problem description.
Draw a diagram of a Saccheri quadrilateral ABDC, where (a) A and B are a pair of consecutive vertices (b) sides AD and BC are a pair of opposite sides (c) angles A and B are right angles (d) sides AD and BC are congruent. Then let M be the midpoint of AB, and drop a perpendicular from M to CD with foot N. Once
Please see the attached file for the fully formatted problems.
The hypotenuse of a right triangle is 12 and the area is 16√5. Find the length of the legs of the triangle.
Surveying: Surveyors sometimes use similar triangles to measure inaccessible distances. A surveyor could find distance AB by setting up similar triangles ABC and EDC. Assuming all lengths may be directly measured to set up a proportion and solve for AB. 17. How does the surveyor make ABC similar to EDC? 18. Set up a prop
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
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
Given ABC with a=38 degrees, b=25, and c=32, find the length of side a. Given ABC with a=4, b=5 and c=7, find the approximate size of the angle y
Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.
In the diagram attached, I have to show that: curly r-bar = sqrt(h^2 + curly-r squared - sqrt(2).h.curly-r). So far, I've only been able to come up with the obvious fact that: curly - r^2 = sqrt(h^2+h^2) = sqrt(2).h
Use the given coordinates to find the coordinates of point Q. Please see the attached file for the fully formatted problems.
O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. what is the ratio of the area of triangle EOC to triangle ABC?
Using the diagram attached: 11. What is the measure of arc AC? 12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle? 13. Working with the information from 12 from here to #16, what is
Using the diagram at right: 1. If the diameter of circle M is 20, and the length of line segment DF is 12, what is the length of segment MJ? 2. If the measure of arc BFE is 80 degrees, then what is the measure of angle BME? 3. If there were an imaginary angle ACB, what would the measure of that angle be? (Hint: Remember that
See attached file for full problem description. 1. Use the figure below to find the following: 2. a) Find the complementary angle of 26 b) DEF and GHI are supplementary angles and GHI is fourteen times as large as DEF. Determine the measure of each angle
1. What is a polygon? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each. 2. We can use the Pythagorean Theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of t
a. A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. Questions: How many years has it gone? (use 22/7 for pi) b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36. Question: How long is one side of the hexagon? c. The base of
28. Find the area and perimeter of an equilateral triangle whose altitude measures 6 cm. 29. If the area of an equilateral triangle is 100 sq cm, find the length of a side.
Please see the attached file for the fully formatted problems. Given: <D and <C are right angles (triangle APR) = (triangle BQT) Prove: (triangle ADF) = (triangle BCE)
Given: The triangle ABC is an equilateral triangle and the angle 1 = the angle 2 = the angle 3. Prove: The triangle AFC, the triangle CEB and the triangle BDA are all congruent.
If I have a right prism with the prism height being 8 and the prism base being an isosceles triangle with a base of 3 (sides of 6) what is the lateral area and the volume of the prism, also what is the triangle's height by using the Pythagorean theorem?
ABC is an isosceles triangle. M is the midpoint of side BC. E is a point on AC. The (angle) bisector of angle ABE intersects AM at F. What is EF? Prove your Conjecture.
1) In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft. Find the area covered by the chemical retardant. 2) The chemical retardants are freight shipped from