Answer:
37.931%
Step-by-step explanation:
11 / (11+18)
Answer:
Step-by-step explanation:
2) False.
3) True. It could be 50°-65°-65°.
4) True. It could be 35°-35°-110°.
5) True. It could be 40°-50°-90°.
Answer:
12.61 miles
Step-by-step explanation:
The distance of lighthouse B from lighthouse A, the distance from lighthouse A to the boat and the distance of lighthouse B from the boat all form a triangle. Since lighthouse B is west of lighthouse A, and at a distance of 9 miles form lighthouse A, light house A is at a bearing of North 90° East of lighthouse B. The distance from lighthouse A to the boat is 6 miles, and the bearing of the boat from lighthouse B is North 64° East.
So, the angle between the distance from lighthouse B to the boat and lighthouse B to lighthouse A is 90° - 64° = 26°
Since we have two sides and an angle, we use the sine rule
a/sinA = b/sinB where a = 6, A = 26°, b = 9, B = unknown
So, sinB = bsinA/a
= 9sin26/6
= 3(0.4384)/2
= 1.3151/2
= 0.6576
B = sin⁻¹(0.6576)
= 41.11°
≅ 41.1°
We now find the third angle in the triangle, C(the angle facing the distance from lighthouse B to the boat) from
26° + 41.1° + C = 180° (sum of angles in a triangle)
67.1° + C = 180°
C = 180° - 67.1° = 112.9°
Using the sine rule again to find the third side, c(the distance from lighthouse B to the boat), we have
a/sinA = c/sinC
c = asinC/sinA
= 6sin112.9°/sin26°
= 6(0.9212)/0.4384
= 5.5271/0.4384
= 12.61 miles
Answer:
$13.20
Step-by-step explanation:
40 x 0.33 = 13.2
Let, the number of dimes be x.
Given, Brooklyn has three times as many nickels as dimes.
So number of nickels =
We know that 1 nickel = $0.05
So, 3x nickels = $ = $
And 1 dime = $0.1
So, x dimes = $ = $
Given, total value of the coins = $4.
So, we can write the equation,
To find x, we have to move 0.25 to the other side by dividing it to both sides. We will get,
So, number of dimes = 16.
Number of nickels = =
So we have got the required answer.
Number of dimes = 16 and number of nickels = 48.