As part of a history project, four students are making a 12-foot-tall model of a pyramid. the four faces of the pyramid will be congruent triangles. each face will be given to a different student in the group to add texture and paint. the student working on the back face of the pyramid takes some measurements and determines that he will need enough material to cover 84 square feet. how much material will the student working on the left face need to cover her side of the pyramid?

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Since we know the pyramid has 4 faces, means the base is a quadrilateral.

All four faces of the pyramid are congruent triangles.

It means the dimensions of each side of the faces will be same.

It means the area will also be same for each faces.

So the student working on the left face need the same material that student needs working on back face.

hence the material needed for second student will be 84 square feet.    :  Answer

Hope it will help :)

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2