Answer:
Step-by-step explanation:
<u>Area formula:</u>
<u>The height is:</u>
- h = (x + 2)sin 45° = √2(x + 2)/2
<u>Substitute the area value an set an equation:</u>
- 4√2 = (2x - 3)√2(x + 2)/2
- (2x - 3)(x + 2) = 8
- 2x² + x - 6 = 8
- 2x² + x - 14 = 0
- D = 1 + 4*2*14 = 113
- x = (-1 + √113)/4 = 2.41 (rounded)
Note. the second root ignored as negative
Consider one pyramid
Side length of base = 1.5cm and its height is 1 cm
Slant height of one of the lateral faces = sqrt(1^2 + 0.75^2) = 1.25 cm
Area of one of the triangular faces = 0.5 * 1.5* 1.25 = 0.9375 cm^2
There are 8 of these so the required surface area = 8 * 0.9375
= 7.5 cm^2 Answer
Your range is 8
take your largest minus the smallest
8-0=8
hope this helps
The answer to this riddle is---- 19---------
Check the picture below.
now, we can solve x + 2y ⩽ 8, to what you see there in the picture, and as you already know, we start off by graphing the linear-version of it, namely x + 2y = 8 and the line of 3x = y, then after that we do the shading.
the lines are solid, because is ⩾⩽ and that includes the points along the line, for the shading we check the regions for "true" or "false" values, and the solution is where both shades meet, namely the "purple" area.