Answer:
24 units ²
Step-by-step explanation:
In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.
First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.
Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get
3.14 * 2 * r = 17.21
6.28 * r = 17.21
divide both sides by 6.28 to isolate r
r ≈ 2.74
Furthermore, to find the area from the radius, we can use
area = πr². Plugging 2.74 in for r, we get
2.74² * 3.14 = area
≈23.6, rounding up to 24 units ²
X=rt-9 There you go! there your answer
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A scaled triangle because they are all different lengths
Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
That answer is exponential!
