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

 Aug 24, 2018
 #1
avatar+809 
+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.

 Aug 24, 2018
 #2
avatar+98197 
+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

 

cool cool cool

 Aug 24, 2018

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