A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. How much metal did they use to cover the ramp, including the bottom? Give an exact answer (do not round).

3.41 m² of metal would be needed to cover the ramp

Step-by-step explanation:

The ramp has the shape of a triangular prism.

A triangular prism is a prism that has two equal triangles as base connected by three lateral faces.

The surface area of a triangular prism is the sum of the area of its base and lateral faces.

The surface area = 2B + PH

Where B is the area of the base , H is the height of the prism and P is the perimeter of the triangular base

Hence:

B = 0.5 * 1 m * 0.8 m = 0.4 m²

h = 1 m

P = 1 m + 0.8 m + 0.81 m = 2.61 m

Surface area = 2 * 0.4 m² + 2.61 m × 1 m = 3.41 m²

3.41 m² of metal would be needed to cover the ramp

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: