Answer:
The distance between B and lighthouse is 3.8688 km
Step-by-step explanation:
Given:
The angle made from ship to lighthouse is 36.5 degrees
and that of point B is 73 degrees.
To Find:
Distance Between Point B and Lighthouse
Solution:
<em>Consider a triangle LAB(Refer the attachment )</em>
And Point C is on the line AB as A i.e. ship is sailing to B
So C is at 5 km from A.
Now In triangle LAC,
Using Trigonometry Functions as ,
tan(36.5)=LC/AC
LC=tan(36.5)*AC
=0.7399*5
=3.6998 km
Now In triangle LBC,
As,
Sin(73)=LC/LB
LB=LC/(Sin(73))
=3.6998/0.9563
=3.8688 km
LB=3.8688 km
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Thus ;
Answer: D) 154 degrees clockwise about point A
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Explanation:
We have n = 7 sides here, so this is a heptagon.
Assuming this is a regular heptagon, then we can say that 360/n = 360/7 = 51.4285714285714 is the angle in which we can rotate the figure to have it map onto itself.
What does that mean? It means that if we were to apply this rotation, then the "before" and "after" (aka preimage and image) will be identical.
The angle value 51.4285714285714 rounds to 51, and unfortunately none of the answer choices come closer to this.
But we can scale things up. Instead of doing 1 rotation, we can do 3 rotations of 51.4285714285714 degrees each to get 3*51.4285714285714 = 154.285714285714
The value then rounds to 154 degrees. This can happen clockwise or counterclockwise.
when it comes to a rational expression, we can get critical points from, zeroing the derivative "and" from zeroing the denominator alone, however the denominator provides critical valid points that are either "asymptotic" or "cuspics", namely that the function is not differentiable or not a "smooth line" at such spot.
if we get the critical points from the denominator on this one, we get x = ±1, both of which are cuspics. Check the picture below.
Answer:
Radius is 24 centimeters
Diameter is 48 centimeters
Circumference is 150.72 centimeters
Step-by-step explanation:
We have been given that area of the circle B is 1808.64 square centimeters.
We can find the radius of the circle B using the formula for area of circle and setting up the given area equal to the formula.
Therefore, radius of the circle B is 24 centimeters.
We know that diameter is twice the radius, therefore, diameter of circle B will be 24*2=48 centimeters.
Finally, we can express the circumference of circle using the formula:
Therefore, circumference of the circle B is 150.72 centimeters.