Answer:
N < 6 or N
-7 or N > 12
Hope this helps. <em>lmk</em>.
The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
It has a rotational symmetry of 6
So minimum number of degrees = 360 / 6
= 60 degrees
The distance traveled by the light in 2 hours is 2.16×10⁹ km.
<h3 /><h3>Distance:</h3>
This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).
To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.
Formula:
- S = d/t................. equation 1
Where:
- S = speed
- d = distance travelled
From the question,
Given:
- d = 1.08×10⁹ km
- t = 1 hour
Therefore,
The distance traveled in 2 hours is
- d = 2×1.08×10⁹
- d = 2.16×10⁹ km
Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km
Learn more about distance here: brainly.com/question/23848540
Answer:
x = {-2, 2/3}
Step-by-step explanation:
2x = -4
x = -2
3x = 2
x = 2/3
x = {-2, 2/3}