Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Hello! To solve this question, we can write and solve a proportion. Set it up like this: 5,880/x = 42/100. You do this, because you’re looking for the total amount of area there is. Cross multiply the values and you get 588,000 = 42x. Now, divide each side by 42 to isolate the “x”. 588,000/42 is 14,000. x = 14,000. Arizona’s total area is 14,000 square miles.
If Kolby is reading 108 books per year, and there are 12 months in a year, this means that he is reading 9 books a month. (108/12=9)
As this is over five months, he will be reading 45 books (9*5)
Hope this helps :)
Answer:
- 12x +9y ≥ 510
- y ≤ 2x
- y ≥ 25
Step-by-step explanation:
Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...
12x +9y ≥ 510
__
Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...
y ≤ 2x
__
Richie will walk at least 25 dogs, so ...
y ≥ 25
$9.45
10% of 10.50 is 1.05
10.50 - 1.05 = 9.45