Answer:
A non-equilateral rhombus.
Step-by-step explanation:
We can solve this graphically.
We start with square:
ABCD
with:
A = (11, - 7)
B = (9, - 4)
C = (11, - 1)
D = (13, - 4)
Only with the vertices, we can see that ABCD is equilateral, as the length of each side is:
AB = √( (11 - 9)^2 + (-7 -(-4))^2) = √( (2)^2 + (3)^2) = √(4 + 9) = √13
BC = √( (11 - 9)^2 + (-1 -(-4))^2) = √13
CD = √( (11 - 13)^2 + (-1 -(-4))^2) = √13
DA = √( (11 - 13)^2 + (-7 -(-4))^2) = √13
And we change C by C' = (11, 1)
In the image you can see the 5 points and the figure that they make:
The figure ABCD is a rhombus, and ABC'D is also a rhombus, the only difference between the figures is that ABCD is equilateral while ABC'D is not equilateral.
We know that
The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to
°
Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.
Hence
the answer is
the distance between the two ships is 8 miles apart
alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles
Answer:
Step-by-step explanation:
You need to find out the circumference of the Ferris wheel
C=d*3.14=185*3.14=580.90 m
Answer:
<em>Interval variables</em>
Step-by-step explanation:
<em>An interval variable which is also refereed to as ordinal variable with the additional property that t has differences in magnitudes of the between two meaningful values</em>
<em>An example of an interval variable is ,when a temperature of 90 degrees and 100 degrees is the same difference as between 90 degrees and 80 degrees.</em>
<em>Interval variables are also said to be mutually exclusive , exhaustive and also having a rank or ranking order.</em>
Answer:
5 : 16
Step-by-step explanation:
Tucker has a total of 5 + 6 + 5 = 16 coins. The ratio of 5 pennies to that total is ...
pennies : total coins = 5 : 16
