Question

Help needed ASAP

Please answer without rounding if you need to round

Answer 1

you dont need to round

Explanation:

multiply v and U and then add the other numbers and that should work

Answer 2

`\huge\boxed{\sf r = 37\ mm}`

Explanation:

Let the radius be r

UV is tangent to the circle T which means UV is perpendicular to UT, that makes ΔUVT a right-angled triangle.

Which means:

∠TUV = 90°

So, We can use pythagoras theorem to find the radius of the circle.

In the Δ:

Hypotenuse = r + 9

Base = r

Perpendicular = 12

Pythagoras Theorem:

(Hypotenuse)² = (Base)² + (Perpendicular)²

(6 + r)² = (r)² + (22)²

(6)² + 2(6)(r) + (r)² = r² + 484

36 + 12r + r² = r² + 484

Subtract r² to both sides

36 + 12r = 484

Subtract 36 to both sides

12r = 484 - 36

12r = 448

Divide both sides by 12

r = 448/12

r = 37 mm

`\rule[225]{225}{2}`