Answer:
30√3 ≈ 51.96 miles
Step-by-step explanation:
The distance between the two ships can be found using the Law of Cosines, or using your knowledge of the side relationships in special triangles.
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Each ship is traveling at 10 mph, so after 3 hours will have traveled 30 miles.
The triangle OS1S2 formed by the harbor and the two ship locations is an isosceles triangle with base angles of 30°. Each half of OS1S2 is a 30-60-90 triangle whose longer leg is √3 times half the hypotenuse. The sum of those two "longer legs" is the distance between the ships.
The distance between ships is 2×15√3 = 30√3 ≈ 51.96 miles.
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<em>Additional comment</em>
If you prefer to use the Law of Cosines, you are looking for the length of the side opposite the 120° angle in a triangle with sides of 30 miles.
c² = 30² +30² -2·30·30·cos(120°) = 30²(2-2·(-0.5)) = 3·30²
c = 30√3 . . . . . take the square root (miles)
Answer:
7.8025
Step-by-step explanation:
You get the circumfence formula 2 * pi * r
since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius
i hope this helped<33
Answer:
9 inches of snow fell in the 7-hour snowstorm.
Step-by-step explanation:
To find your answer write an equation to find your answer.
1 inch per hour for two hours 1(2)
2 inches per hour for four hours 4(2)
and 1 inch in the last hour
so add those up
1(2)+4(2)+1
2+8+1
9
Answer:
The value of y for x = 45 is 120 .
Step-by-step explanation:
Given as :
Let The variables y and x are proportional to each others
I,e y ∝ x
Now , y = k x
So, for x = 3 , y = 8
I.e 8 = k × 3 ........1
∴ k = 
<u>Similarly </u>
for x = 45 , y = k × 3
I.e y = k × 45 ..........2
Now, putting the value of k in eq 2
So, y = × 45
I.e y = 
Or, y = 8 × 15
∴ y = 120
So, for x = 45 , y = 120
Hence The value of y for x = 45 is 120 . Answer
20,520 + 3.078 = 23,598 so... 513 * 46 = 23,598
