Answer is
<span>B) y, because ΔUVW is similar to ΔZXW.</span>
Answer: 6.4 hours
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each case:
Happy paws: the cost is equal to the fixed charge (19) plus the product of the charge per hour (3.50) and the number of hours (h).
Happy Paws Cost = 19+3.50h
Woof Watchers: the cost is equal to the fixed charge (11) plus the product of the charge per hour (4.75) and the number of hours (h).
Woof Watcher Cost = 11+ 4.75h
Since both costs must be equal:
Happy Paws Cost =Woof Watcher Cost
So:
19+3.50h = 11+ 4.75h
Solving for h:
19-11 = 4.75h-3.50h
8 = 1.25h
8/1.25 =h
h = 6.4 hours
This is the concept of geometry, given that AB=AC, it means that the tirangle is isosceles, thus to get the value of AB and AC we proceed as follows;
thus using the cosine rule:
c^2=a^2+b^2-2abcosC
suppose\AB=AC=x
thus;
8^2=x^2+x^2-2*x*xcos15
64=2x^2-2x^2cos15
64=2x^2-1.9x^2
64=0.1x^2
x^2=640
x=sqrt640
x=25.3
hence;
AC=AB=25.3
If you would like to eliminate the z-term, you can do this using the following steps:
x + z = 6 /*(-2)
3x + 2z = 1
_____________
-2x -2z = -12
<span>3x + 2z = 1
</span><span>_____________
</span>-2x + 3x = -12 + 1
x = -11
The correct result would be <span>x + z = 6 /*(-2).</span>