Answer:
radius ≈ 15.5
Step-by-step explanation:
the radius is RS
the angle between a tangent and the radius at the point of contact is 90°
then Δ RST is a right triangle
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then
RS² + ST² = RT² ( substitute values )
RS² + 7² = 17²
RS² + 49 = 289 ( subtract 49 from both sides )
RS² = 240 ( take square root of both sides )
RS = 
≈ 15.5 ( to 1 dec. place )
35 lbs, your welcome even though you probably don't need the answer anymore
Answer:
The Sum of the measures of the interior angles of a triangle is 180°
Step-by-step explanation:
Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: <em>2</em> × 2 × <u>3</u>
30: <em>2</em> × <u>3</u> × 5
42: <em>2</em> × <u>3</u> × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are <em>2</em> and <u>3</u>. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: <em>2</em> × 2 × <u>3</u> × 5 × 7 = 420
The volume of a cylinder can be found using the formula V=(pi)(r)^2(h)
V=(3.14)(8)^2(10)
V = 2010.62 Ft^3
I think that is the answer
