Answer:
B.
Step-by-step explanation:
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Answer:
C. 36√3 square units
Step-by-step explanation:
Your knowledge of special triangles tells you that height CD is ...
CD = 6√3
so the area is ...
A = 1/2bh
A = 1/2(12)(6√3) = 36√3 . . . . square units
_____
<em>Additional comment</em>
The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...
1 : √3 : 2
This means the length DB is 12/2 = 6, and the length CD is 6√3.
Answer:
Negative
Step-by-step explanation:
Negative-negative is always negative, and -1/3-4/5 is negative too. the second one, however, is positive.
The ladder forms the hypotenuse of a right triangle. Solve for a
<span>a^2 + b^2 = c^2 </span>
<span>a^2 + 9^2 = 18^2 </span>
<span>a^2 + 81 = 324 </span>
<span>a^2 = 243 </span>
<span>a = 15.589 = 15.6 feet</span>
Answer:
The water is 208.22ft from the tug boat
Step-by-step explanation:
The governing equation is 
y is the height above the ocean
x is the distance from the tugboat
if y= 6ft, the equation will now become
we can arrange this properly to form a quadratic equation by grouping like terms.
solving quadratically we have two values of x as 208.22ft and 0.873 ft.
We can take a more realistic value as a solution to our problems:
208.22ft
