Please help.. 10 points

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 =

z sin 45 = 39

         z  =

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 =

y tan 60 = 39

           y =

           y = 22.5166605

Use Pythagoras's Theorem to find x.

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.