Answer:
78.5 ft²
Step-by-step explanation:
In this situation, the dog's 5 ft leash is the radius of the circle that he forms.
So, the radius is 5.
Use the area formula, A = r². Plug in 5 as r, and 3.14 as
A = r²
A = (3.14)(5²)
A = (3.14)(25)
A = 78.5
So, the area of the grass he can cover is 78.5 ft²
Answer:
Layota
$47.5
Step-by-step explanation:
Let number of hours = x
Given that:
Oscar's charges :
First hour = $25
Additional hours = $15
Thus :
Total charge : 25 + 15(x - 1)
The piece wise equation given for Layota's charge rate :
First 3 hours = $30
Next 3 hours = $20
Hours greater Than 6 = $10
If total hours ; x = 5.5 hours
Oscar :
$25 + $15(5.5 - 1)
$25 + $15(4.5)
$25 + $67.5
= $92.5
Layota:
First 3 hours :
$30 * 3 = $90
Hours left :
$20 * (5.5 - 3)
$20 * 2.5 = 50
Total = $90 + $50 = $140
Layota charges more : 140 > 92.5
Difference :
$140 - $92.5
= $47.5
Answer:
30.7 km
Step-by-step explanation:
The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...
c = √(a² +b² -2ab·cos(C))
The angle measured between the two fires is ...
180° -(69° -35°) = 146°
and the distance is ...
c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015
c ≈ 30.74
The straight-line distance between the two fires is about 30.7 km.
