Answer:
91.14 feet
Step-by-step explanation:
Given:
In a park,a sidewalk is built around the edge of a circular pond.
The sidewalk is 7 feet wide, and the pond measure 15 feet across.
Question asked:
What amount of railing would be needed to go completely around the outer edge of the sidewalk?
Solution:
From distance from one edge of the pond to the another = 15 feet
That means diameter of the pond = 15 feet
And width of the sidewalk = 7 feet all around
combined diameter = 15 + 7 + 7 = 29 feet
Radius,r =
That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet
Now, we will have to find circumference of outer circular edge of sidewalk:
Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.
Answer:
10/13 ≈ 76.9%
Step-by-step explanation:
P(A∪B) = P(A) +P(B) -P(A∩B)
P(plays basketball ∪ plays baseball)
= P(plays basketball) +P(plays baseball) -P(plays both)
P(plays basketball ∪ plays baseball) = 16/26 +9/26 -5/26 = 20/26 = 10/13
P(plays basketball or baseball) = 10/13 ≈ 76.9%
Answer:
-56/9
Step-by-step explanation:
By Vieta's formulas,
$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get
$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,
$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$
Im answering your question bc I need points ty :)