Given: ∆pst, pt = 8, m∠t = 90°, m∠s = 48° find: perimeter of ∆pts

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of triangle PST is equal to

step 1

Find the length PS

In the right triangle PST

---> opposite side angle of 48 degrees divide by the hypotenuse

substitute the given values

Solve for PS

step 2

Find the length TS

In the right triangle PST

---> adjacent side angle of 48 degrees divided by the hypotenuse

substitute the given values

Solve for TS

step 3

Find the perimeter

we have

substitute

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

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.