I am stuck on these questions. I'm not good with polygons or trig. Help. So sorry.

mathelp
Aug 24, 2018

#1**+2 **

1. For 4ft by 4ft, 1000 earthworms can fit, so for a square has a side length 7 times longer, the answer is 49,000 feet, or (a).

2. This shape is an 8-sided figure or an octagon. This is the longest diagonal, so the answer is 483.2 inches, rounded to the nearest tenth: 483.2 inches, or (A).

5(last one): Plotting, we have: https://www.desmos.com/calculator/bm72xzzt3z, we can split this figure into a rectangle and a triangle: 3*4=12-rectangle, and 1/2*4*4=8, so 12+8=20 units.

mathtoo
Aug 24, 2018

#2**+2 **

a. If the side of the square is 7 times longer, then the area is 7^2 = 49 times more

So.....49 * 1000 = 49000

a. We have an octagon

There are 8 congruent triangles each with an included angle of 45° between sides of 13.07 in

So...the total area = 8 (1/2)(13.07)^2 (sin 45°) ≈ 483 in^2

a. We have a trapezoid with one base of 6 and a height of 8

The other base = 6 + 2 + 8 (the triangle on the left has the same base as height ) = 16

The area is (1/2)height * ( sum of bases) =

(1/2)(8)(22) =

88 cm^2

a. For the triangle on the right....the base is opposite a 30° angle so its length is 1/2 * 6 = 3ft

The height of the triangle [ and the trapezoid] = 3√3 ft

So...the area of the trapezoid =

(1/2)(height) (sum of the bases) =

(1/2)(3√3)(11 + 14) =

(1/2)(3√3)(25) =

(3/2)(25)√3 =

(75/2)√3 ft^2

CPhill
Aug 24, 2018