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 )
Answer:
The money Rachael plan to collect for the shelter is <u>$345</u>.
Step-by-step explanation:
<u><em>There are some data missing in the question, so below is the complete question:</em></u>
Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?
Now, to find the money Rachael plan to collect for the shelter.
Let the total money Rachael plan to collect be
The amount far she has collected = $245.
Percentage of amount she hopes to collect = 70%.
Now, to get the total money Rachael plan to collect:
<em>Dividing both sides by 0.70 we get:</em>
Therefore, the money Rachael plan to collect for the shelter is $345.