166cm²
Work —
Red (top):
SA = lw
SA = 5 • 2
SA = 10
Red (right side):
SA = lw
SA = 5 • 4
SA = 20
Red (left side):
SA = lw
SA = 5 • 4
SA = 20
Red (back):
SA = lw
SA = 4 • 2
SA = 8
Red (front):
SA = lw
SA = 4 • 2
SA = 8
Orange (top):
SA = lw
SA = 3 • 5
SA = 15
Orange (right side):
SA = lw
SA = 5 • 3
SA = 15
Orange (left side):
SA = lw
SA = 5 • 3
SA = 15
Orange (back):
SA = lw
SA = 5 • 3
SA = 15
Orange (front):
SA = lw
SA = 5 • 3
SA = 15
Orange (bottom):
SA = lw
SA = 5 • 5
SA = 25
Total:
SA = 10 + 20 + 20 + 8 + 8 + 15 + 15 + 15 + 15 + 15 + 25
SA = 166
answer : option C

Lets find the number of zeros by factoring

Group first two terms and last two terms

Factor out GCF from each group


Now we set each factor =0 and solve for x
0 = (x^2-8) and (x + 1)=0
and x = -1
and x= -1
So we have three real zeros
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
88 degrees is the answer. You would start by setting up the equation as (5x+7)+(8x+8)+(3x+5)=180 because all angles of a triangle have a sum of 180 degrees. From there you combine like terms which would leave the answer of being 16x+20=180 then you subtract the 20 from 180 to get x by itself. Then that would leave you with 16x=160 then you divide both sides by 16 to get x=10. From there you plug 16 into the x in the planetarium equation which is 8(10)+8 which equals 88 degrees

<em>We should ISOLATE x</em>
<em />
<em>Find the Natural Log of Both Sides to Make the Left Side "y"</em>
<em />
<em>Now, FIND THE DERIVATIVE Using Chain Rule!!!</em>
<em />