A brand of uncooked spaghetti comes in a box that is a rectangle prism with a lengthof 9 inches, width of 2 inches and a height of 1 1/2 inches. What is the surface area
Reduce the following equations to standard form, and then identify which conicoids they represent. Further, give a rough sketch of each.
i) x^2 +y^2 +2x−y−z+3 = 0
ii) 3y^2 +3z^2 +4x+3y+z = 9
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
Tom built a fence around his rectangular shaped pool. The posts are 2 yards apart, there are 4 posts along the width and 8 posts along the length. What
are the dimensions of the fence?
About Circle Geometry Proofs: Prove that if two secants to a circle from an external point are equal, then the intercepted chords are equal. (Please write like a column proof-statements and reasons)
a pool party is occuring at the robertsons house this next holiday they want to invite 64 friends and family only 26 friends and 9 family members reply to the invite the robertsons are a family of 5 their pool is 35 feet long and is 10 feet deep when filled to capacity they are worried children under 5 will struggle in the pool so they only fill the pool to 5 feet the day of the party 53 people show up the son billy is 4.5 feet tall if billys height is half the width of the pool what is the volume of water in cubic feet the robinsons filled the pool with