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Paladinen [302]
2 years ago
5

F(x) = 3x + 2; g(x) = x2 + 4; h(x) = 5x + 1 Find h(g(2))

Mathematics
1 answer:
tatuchka [14]2 years ago
6 0

Answer:

Step-by-step explanation:

h(g(2)) = h( 2²)  = h(4) ; because g(x=2) = 2²

h(4) =  5*4+1 = 21

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What is the surface area of the solid?
Paha777 [63]

Answer:

  D.  28 square centimeters

Step-by-step explanation:

The surface area of the prism is the sum of the base areas and the lateral area. Here, the base is an odd shape, so it must be decomposed into shapes we can find the area of.

__

<h3>base area</h3>

The base of this prism is the L-shaped face nearest the observer. It can be decomposed into a 1 cm square atop a 1 cm by 3 cm rectangle. The area of the face is the sum of the areas of these parts.

  square area = s² . . . . where s is the side length

  = (1 cm)² = 1 cm²

  rectangle area = bh . . . . b is the base, h is the height

  = (3 cm)(1 cm) = 3 cm²

Then the area of the one prism base we see is ...

  base area = 1 cm² +3 cm² = 4 cm²

The total area of both L-shaped bases of the prism is ...

  total base area = 2(4 cm²) = 8 cm²

__

<h3>lateral area</h3>

The perimeter of the base is the sum of the lengths of its edges. Working clockwise from the lower left corner, we find the base perimeter to be ...

  (1 +2 +1 +1 +2 +3) cm = 10 cm

The lateral area is the product of the "height" of the prism (the distance between the parallel bases) and this perimeter length.

  LA = Ph

  LA = (10 cm)(2 cm) = 20 cm²

__

<h3>solid area</h3>

The surface area of the solid is the sum of the areas of the bases and the lateral area:

  total surface area = total base area + LA

  = (8 cm²) +(20 cm²) = 28 cm²

The surface area of the solid is 28 square centimeters.

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