Plane Geometry

paki solve

volume of a pile of ore with a 60x500 ft rectangular base with sides inclines 45degrees to the horizontal

hello po, patulog po ako

1. two tangent lines drawn from an external point to a circle makes an angle of 60 degrees with each other. The distance from the external point to the center of the circle is 10 cm. Find the radius of the circle and the length of the tangent segment.

1. The official distance bet. home plate and second base in a baseball diamond is 120ft. Find the area of the official ball diamond and the distance bet. the bases.

2. A metal washer 1inch in diameter is pierced by a 1/2 inch hole. What is the area of one face of the washer.

Imagine a cube measuring 3 units on an edge, and having its total surface area painted blue. Without the aid of a figure, answer the following questions.
(A) How many times must you cut completely through the cube to make cubes which measure 1 unit on an edge?
(B) How many of the cubes of question (A) will have
(a) Three blue faces?
(b) Two blue faces?
(c) One blue face?
(d) No blue face?
(C) How many cubes are there in all?

Thank you for this site. I can now understand the lessons :)

1. A flower vase in the form of a hexagonal prism, is to be filled with 512 cu.in of water. Find the height of the water if the wet portion of the flower vase and its volume are numerically equal.

Please verify property number 8 of a regular polygon: “Diagonals of regular polygon will cross each other at the center. Length of diagonals is equal to the diameter of the circumscribing circle.” This statement is inconsistent with the formula for determining the number of diagonals D.

I suggest that the phrase “isosceles triangle” in property number 9 (Segment of regular polygon is an isosceles triangle whose equal sides are radius of circumscribing circle” be changed to “equilateral triangle” if it is true that segments have equal sides.

A rectangle ABCD, which measures 9 ft is folded once perpendicular to diagonal AC such that the opposite vertices A and C coincide. Find the length of the fold.

help me solve this problem please...

Pennsylvania Railroad found it necessary, owing to land slide upon the road bed, to reduce the angle of inclination of the bank of a certain railway cut near Pittsburgh, from an original angle of 45 to a new angle 30.the bank as it originally stood was 200 ft long and had a slant length of 60 ft. find the amount of the earth removed, if the top level of the bank remained unchanged..?
--kindly show the solution. thank you!