Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
The mnemonic SOH CAH TOA helps you remember the relevant trig relationship is
Sin(α) = Opposite/Hypotenuse
sin(α) = (1 ft)/(14 ft)
α = arcsin(1/14) ≈ 4°
The angle the ramp makes with the sidewalk is 4°.
C. 17 r 1 is the correct answer
*Hint: Before you try to factor anything, you try to see if they have a common factor.
Since -3 is a common factor, everything is divided by -3.
-6x^4y^5 - 15x^3y^2 + 9x^2y^3
-3(2x^4y^5 + 5x^3y^2 - 3x^2y^3)
Since you can still divide by x^2y^2, you do so.
-3x^2y^2 (2x^2y^3 + 5x - 3y)
C represents the cost. R represents the number of rooms.
C=50 + 12R