Answer:9
Step-by-step explanation:
We have to find the slope of these lines using the slope formula
<span>slope = (y2 - y1) / (x2 - x1) </span>
<span>Line WX : </span>
<span>(-1,2) x1 = -1 and y1 = 2 </span>
<span>(4,12) x2 = 4 and y2 = 12 </span>
<span>now sub into the slope formula </span>
<span>slope = (12 - 2) / (4 - (-1) </span>
<span>slope = 10/(4 + 1) </span>
<span>slope = 10/5 which reduces to 1/2 </span>
<span>so the slope of line WX = 1/2 </span>
<span>Line YZ : </span>
<span>(5,8) x1 = 5 and y1 = 8 </span>
<span>(-2,-6) x2 = -2 and y2 = -6 </span>
<span>now we sub into slope formula </span>
<span>slope = (-6-8) / (-2-5) </span>
<span>slope = -14/-7 </span>
<span>slope = 1/2 </span>
<span>so the slope in line YZ = 1/2 </span>
<span>Line WX and line YZ are : (D) parallel because the slopes are the same.</span>
Answer:
Surface area of the given prism = 63 square feet
Step-by-step explanation:
Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles
Area of triangular bases = 2[] (Since the bases of this prism are right triangles)
= 3 × 3
= 9 square ft
Area of one vertical rectangular face = (Length × Width)
= (3 × 6)
= 18 square feet
Area of all vertical sides = 3 × 18 = 54 square feet
Total surface area = 9 + 54 = 63 square feet
Answer:
16.6106
Step-by-step explanation:
area =3.14×2.3×2.3=16.6106cm
area=pie radius squared
<span> y = tan x
y = cot x
this is the answer </span>