Suppose $p,$ $q,$ and $r$ are points in the plane such that $pq=1.8,$ $pr=8.2,$ and $\angle pqr=90^\circ$. what is the perimeter of $\triangle pqr$?

Perimeter of triangle is 18.

Step-by-step explanation:

Given:

segment PQ = 1.8

segment PR = 8.2

∠PQR =90°

Since triangle is a right angle triangle with right angle at ∠Q.

Now by using Pythagoras theorem we get;

The square of one side is equal to sum  of the square of other two side.

Substituting the given value we get;

Now taking square root on both side we get;

Now we need to find the perimeter of the triangle.

Perimeter of triangle is sum of all three side.

Framing in equation form we get;

Perimeter of triangle = PQ + QR +PR = 1.8 + 8 + 8.2 = 18

Hence Perimeter of triangle is 18.

b

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours