Question

Marcel is making a model of the face of the crazy horse

Answer 1

4) We have to calculate how many times taller is the actual monument compared to the model.

The actual height is 87 1/2 ft.

The model height is 1 1/4 ft.

We can calculate how many times taller is the actual monument compared to the model by dividing the actual height by the model height:

`k=(87+(1)/(2))/(1+(1)/(4))=((175)/(2))/((5)/(4))=(175)/(2)*(4)/(5)=(175)/(5)*(4)/(2)=35*2=70`

Answer: the monument is 70 times taller than the model.

The operation we use to solve this problem is a quotient between the two heights.

5) We have a monument that is a rectangular prism.

We know that the height is 5' 2'' and the width is 4' 3''.

We also know that the width (W) is 5 inches less than half the length.

We have to find the length (L).

We then have to write:

`W=(L)/(2)-5\text{ in}`

To solve this, we have to add 5 inches to the width first and then multiply the result by 2:

`\begin{gathered} (4^(\prime)+3^(\prime\prime))=(L)/(2)-5^(\prime\prime) \\ 4^(\prime)+3^(\prime\prime)-5^(\prime\prime)=(L)/(2) \\ (4*12^(\prime\prime))+3^(\prime\prime)-5^(\prime\prime)=(L)/(2) \\ 48^(\prime\prime)-2^(\prime\prime)=(L)/(2) \\ 46^(\prime\prime)=(L)/(2) \\ L=2*46^(\prime\prime) \\ L=92^(\prime\prime) \\ L=84^(\prime\prime)+6^(\prime\prime) \\ L=7^(\prime)+6^(\prime\prime) \end{gathered}`

Answer: the length is 7' 6''.

The first operation is adding (we add 5'' to the width) and the second operation is multiplication (we multiply the result by 2).