Geometry Answers

I'm not sure how to answer this question:
"ABC is a right-angled triangle.
AC = 14cm
Angle C = 90°
Size of angle B : size of angle A = 3 : 2

Work out the length of AB.
Give your answer correct of 3 significant figures"

How do I solve this?

I decided it is about time I portioned off a part of my yard and make a marshmallow garden. The area I have decided to portion off is created by combining two shapes: A rectangle and an equilateral triangle, with the equilateral triangle directly on top of the rectangle (think of those terrible houses you used to draw as children). I have 900 meters of fencing to use, and I know the length of the rectangular area needs to be 1.5 times the width. If the base of the triangle is the exact same in measure to the length of the rectangle, what are the dimensions of all sides of this portioned area?

Draw neat diagrams of the following polyhedra. (Name each polyhedron)
1.polyhedron made up of four triangular faces.
2.polyhedron made up of a rectangle and triangular faces.
3.Heptahedron which is prism
4.prism, which is made up of two Pentagon's and rectanglesee.

Draw the nets of the following polyhedra:
1.octahedral, a regular polyhedron
2.hexane Dron, which is a prism
3.Pentagonal prism

A carpenter constructed a closed wooden box 1.5m long, 0.8m wide and 0.4m high. The wood used in constructing the box was 1.0cm thick and had a density of 0.6g/cubed

(a) Determine the:
(I) volume in cm cubed of the wood used in constructing the box
(ii) mass of the box in kg correct to 1 d.p

In a math​ class, 45​% of the students have visited the ocean and 55​% have visited the mountains on vacation before. If 40​% of the students have visited the ocean and the mountains on vacation​ before, what is the probability that a randomly selected student has visited the ocean or the​ mountains?

Name the intersection of PR and HR

Which of the following statements is/are true?
A. Suppose a sphere has a diameter of 10 cm. Suppose the height of a closed right circular cylinderis double its radius, and that its radius is the same as the radius of the sphere. The ratio of the surface area of the sphere to that of the cylinder is 2 : 3.
B. If the diameter and height of a right circular cone are equal then the lateral surface area of the cone is √ 5πr2 , where the radius is r. (Note: Lateral surface area of cone is the area of the sides only.)
C. If the diagonals of a quadrilateral intersect at right angles the quadrilateral must be a square or a rhombus or a kite.
1. Only A 2. Only B 3. Only C
4. Only A and C 5. A, B and C

the composite area shown consist of semicircle and a region bounded by line BC and two congruent arcs AB and AC with radii 12 inches each and central angle of 60 degrees each. find the area of the figure?

Two regular quadrilateral vinyl tiles each of 1ft side overlap each other such that overlapping region is a regular octagon. What is the area of the overlapping region?