Answer:
18.87 km/hr
Step-by-step explanation:
First boat is heading North with a speed of 10 km/hr.
Second boat is heading West with a speed of 16 km/hr.
Time for which they move = 2.5 hours
To find:
The speed at which the distance is increasing between the two boats.
Solution:
Let the situation be represented by the attached diagram.
Their initial position is represented by point O from where they move towards point A and point B respectively.
We can use Pythagorean Theorem to find the distance AB.
AB is the hypotenuse of the right angled 
.
According to Pythagorean theorem:
The speed at which distance is increasing between the two boats is given as:
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
The answer to this question would be: 6
In this question, you are asked to estimate 90/7 divided by (1 + 3/4). You can convert the 1 3/4 into :
1 +3/4=
4/4 + 3/4= 7/4
Then, the calculation would be:
(90/7) / (7/4)= (90*4)/ (7*7)= 7.347
The distance from 7.347 to 6 would be -1.347. It was much shorter than the distance to 12 which is 4.7. The closest answer would be 6
