darneshar
15.08.2020 •
Mathematics
Calculate the surface area of the prism. Measurements are in centimetres Please help me asap The correct answer is 2804
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Ответ:
2804 cm²
Step-by-step explanation:
Total area comprises of 6 faces: 2 trapezoids and 4 rectangles
Trapezoid = 1/2*(14+32)*24 = 552 cm² eachBottom = 17*32 = 544 cm²Top = 14*17 = 238 cm²Right side = 17*24 = 408 cm²Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²Total area:
552*2 + 544 + 238 + 408 + 510 = 2804 cm²
Ответ:
f and g are not inverse of each other.
Step-by-step explanation:
If the two functions are inverses of each other, then f(g(x)) = g(f(x))
We are given two functions:
f(x) = 6x + 5
g(x) = 6x - 5
Let's find f(g(x)) and g(f(x))
f(g(x)) = f(6x - 5)
= 6(6x - 5) + 5
= 36x - 30 + 5
f(g(x)) = 36x - 25
Now let's find g(f(x))
g(f(x)) = g(6x + 5)
= 6(6x + 5) - 5
= 36x + 30 - 5
g(f(x))= 36x + 25
We see that f(g(x)) ≠ g(f(x))
Therefore, f and g are not inverse of each other.