Geometry

Need to solve and draw Q) Length of the major axis and minor axis of a conic section obtained by cutting a right circular cone by a section plane through generators is given as 120 mm and 90 mm. Plot the curve.

Points, Lines, and Planes a. name two coplaner lines: ED, CB b. Name four coplaner points: CD, EB

a) Describe how to use composite figures to determine the area of a regular hexagon. b) Use your method to determine the area of a regular hexagon with side length 30 cm.

2. Nissam is baking brownies in this pan shown. The recipe calls for a 12-inch square baking pan filled 4 inches deep. Will the batter fit in Nissam's pan? Justify your answer. (1 inch = 2.54 cm)

3. Toshiro wants to build a rock garden with 180 cm of edging. He wants to maximize the area enclosed. Should he build a rectangular or a circular garden? What will the area be?

7- Ship S sails due north from a harbour, H, to an island, I. Then it sails 17.4 km on a bearing of 133º. The navigator then locates the harbour on a bearing of 253°. a) How far south of the island is Ship S? b) How far east of the island is Ship S? c) How far is Ship S from the harbour?

The volume V of a right-circular cylinder is computed using the values d = 3.4 m for the diameter and h = 6.1 m for the height. Use the Linear Approximation to estimate the maximum error R in Vif each of these values has a possible error of at most 2%. Recall that V= πr²h.

A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory. What must the width of this lawn be, and what are the dimensions of the factory? Final answer with rough solution required.

Ying Lun has a cube jewellery box with side lengths of 8 cm. She wants to paste colour paperon each surface of the box. At least how many square centimeters of colour paper does sheneed? (A)64(B)288(C)384(D)512

A developer decides to build a fence around a neighborhood park, which is positioned on a rectangular lot. Rather than fencing along the lot line, he fences x feet from each of the lot's boundaries. By fencing a rectangular space 141yd² smaller than the lot, the developer saves $432 in fencing materials, which cost $12 per linear foot. How much does he spend ? a. $160 b. $456 c. $3,168 d. The answer cannot be determined from the given information.