Answer:
67 units^2
Step-by-step explanation:
The surface area of the prism is found by
SA = 2 ( lw+lh + wh)
= 2 ( 5*1.5+ 4*1.5 + 5*4)
= 2 ( 7.5+6+20)
= 2 (33.5)
= 67
The answer to this question is A
<u>Let's take this step-by-step:</u>
The mathematical name of this shape is a <u>right trapezoid </u>
⇒ <em>It is a trapezoid since the image shows a quadrilateral that </em>
<em> has two parallel sides and two non-parallel sides. It is a right </em>
<em> trapezoid because it has two rights angles</em>
<em> </em>The cube has <u>6</u> faces
⇒ <em>faces are the individual flat surfaces of an object</em>
<em> ⇒by looking at a picture of a cube, we see it has 6 sides</em>
<em> ⇒ (I attached an image of a cube below)</em>
Hope that helps!
Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2
then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.
So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.