Answer:
4dogs and no wolves
Step-by-step explanation:
when a dog is taken care of (Trained) it could be let to run free in a definite region.
On a plane with one line we can place two dogs (one dog in each of the regions) and they will not fight as they will be separated by a line, and they will run free.
If we place three lines in general, then we would have four regions where 4 dogs can run free as they are separated by a line so as not to fight.
But for Wolves from the question it is deduced that: A wolf has to be caged all the time and no matter how well you train a wolve, it wont yield to instructions.
With these two, wolves wont be allowed on the plane at all.
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
Answer:
The square root of 196 is 14
Step-by-step explanation:
Prime factorization of 196:
Prime factors of 196 in pairs:
Now square root of 196:
- √196 = √(2 × 2) × (7 × 7)
- √196 = √(2 × 7)²
- √196 = (2 × 7)
- = 14
Thus, The square root of 196 is 14
<u>-TheUnknownScientist</u><u> 72</u>
9514 1404 393
Answer:
26.4% decrease
Step-by-step explanation:
The amount of change is ...
2500 -1840 = -660
As a percentage of the original price, that is ...
-660/2500 × 100% = -26.4% . . . . . negative change = decrease
The decrease is 26.4%.
Answer: f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.
Step-by-step explanation:
Given function: 
The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.
i.e. 
Hence, f(x) will have vertical asymptotes at x=-2 and x=2.
To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.
So, the graph will horizontal asymptote at 
i.e. 
Hence, f(x) will have horizontal asymptote at y=3.
