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3 years ago

Find the surface area of the prism A. 90 cm^2 B. 96 cm^2 C. 150 cm^2 D. 156 cm^2

Mathematics

2 answers:

iVinArrow [24]3 years ago

7 0

Step-by-step explanation:

SA = 12(3 + 4 + 5) + 2(½ × 3 × 4)

SA = 12(12) + 2(2 × 3)

SA = 144 + 2(6)

SA = 144 + 12

SA = 156 cm²

Therefore

Surface area of prism is 156 cm². Option D

creativ13 [48]3 years ago

3 0

Answer:

D. 156 cm²

Step-by-step explanation:

The full surface area is:

S = Ph + 2B = (3 + 4 + 5)*12 + 2(1/2*3*4) = 144 + 12 = 156 cm²

Correct choice is D

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The given function $f(x)=\frac{2x}{3}-4$ was replaced with $f(x+k)=\frac{2x}{3}-6$ then the value of k is -3

that is k=-3.

Step-by-step explanation:

The given function is $f(x)=\frac{2x}{3}-4\hfill (1)$

and when x=x+k then $f(x+k)=\frac{2x}{3}-6\hfill (2)$

Now to find the value of k:

Put x=x+k in the function f(x)

$f(x)=\frac{2x}{3}-4$

$f(x+k)=\frac{2(x+k)}{3}-4$

$f(x+k)=\frac{2x+2k}{3}-4\hfill (3)$

Now comparing equations (2) and (3) we get

$f(x+k)=\frac{2x+2k}{3}-4=\frac{2x}{3}-6$

$\frac{2x+2k}{3}-4=\frac{2x}{3}-6$

$\frac{2x+2k}{3}-4-\frac{2x}{3}+6=0$

$\frac{2x}{3}+\frac{2k}{3}-4-\frac{2x}{3}+6=0$

$\frac{2k}{3}+2=0$

$\frac{2k}{3}=-2$

$k=\frac{-2\times 3}{2}$

$k=-3$

Therefore k=-3

Therefore the given function $f(x)=\frac{2x}{3}-4$ was replaced with $f(x+k)=\frac{2x}{3}-6$ then the value of k is -3

that is k=-3.

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