What is the minimum amount of cloth that was used to make the tent shown below? A triangular prism. The triangular base has a base of 6 feet and height of 4 feet. The prism has a height of 10 feet. 120 feet squared 160 feet squared 184 feet squared 208 feet squared

184ft²

Step-by-step explanation:

See attachment for the missing figure.

First find out the areas of the two triangular sides

Area of triangle =1/2(bh)

From the shape

base b= 6ft

Height h= 4ft

Area = 1/2(6 x 4)

Area = 1/2(24)

Area = 12 ft²

Since the triangular shape is two total area =2 x 12= 24ft²

For the area of the two rectangular sides:

length l= 10ft

Width w= 5ft

Area = 10 x 5= 50ft²

Since the rectangular sides are two total area is = 50 x 2= 100ft²

Now, the base of the tent has a rectangular shape with

length 'l'= 10ft

Width 'w'= 6ft

Area = 10 x 6= 60ft²

Hence total surface area of the tent is 24+100+60= 184ft²

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

351°f

step-by-step explanation: