Answer:
197 in ^2 (answer B of the list)
Step-by-step explanation:
Notice that this figure has a total of 6 faces, four of which are rectangles (whose area is calculated as "base times height") and two trapezoids (whose area is (B+b)H/2 ).
The total surface area is therefore the addition of these six areas:
Rectangles:
5 in x 5 in = 25 in^2
5 in x 5 in = 25 in^2
5 in x 6.4 in = 32 in^2
9 in x 5 in = 45 in^2
Trapezoids:
Two of equal dimensions: B = 9 in, b = 5 in, H = 5 in
2 * (9 in + 5 in) 5 in /2 = 70 in^2
Which gives a total of (25 + 25 + 32+45 + 70) in^2 = 197 in^2
This agrees with answer B of he provided list.
Answer:
Don't fail
Step-by-step explanation:
Answer:
g(-8) = -23
Step-by-step explanation:
g(x) = 3x + 1 <em>Plug in g(-8)</em>
g(-8) = 3(-8) + 1 <em>Multiply 3 by -8</em>
g(-8) = -24 + 1 <em>Add 1 to -24</em>
g(-8) = -23
Answer:
Step-by-step explanation:
y = -4x^2 + 4x + 6
Factor out the leading coefficient:
y = -4(x^2 - x) + 6
Complete the square:
y = -4(x^2 - x + (½)^2) + 4(½)^2 + 6
= -4(x-½)^2 + 7
Because the left side sqrt is multiplied by 3 if it was just added it would be correct because it would cancel out and leave the 3’s. Since it’s multiplied it would change the value