Answer:
101 meters
Step-by-step explanation:
The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.
leg 1 = 99 m
leg 2 = 20 m
hypotenuse = ?
We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2
99^2 + 20^2 = c^2
9801 + 400 = c^2
c^2 = 10201
c = sqrt(10201) = 101
Answer: 101 meters
<span>The Value of Log(6) = 0.77815125
the values given in different forms of Log are independent from each other and thus do not match any of the other listed values.</span>
0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2
Answer:
a = 50°, b = 130°, c = 20°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the right triangle
a + 40° + 90° = 180°
a + 130° = 180° ( subtract 130° from both sides )
a = 50°
a and b are adjacent angles and sum to 180° , so
a + b = 180°
50° + b = 180° ( subtract 50° from both sides )
b = 130°
Then sum the angles in the top triangle, that is
30° + 130° + c = 180°
160° + c = 180° ( subtract 160° from both sides )
c = 20°
Given that the concentration has been modeled by the formula:
C(t)=50t/(t^2+25)
where:
t is time in hours.
The concentration after 5 hours will be given by:
t= 5 hours
plugging the value in the equation we get:
C(5)=(50(5))/(5^2+25)
simplifying the above we get:
C(5)=250/(50)=5 mg/dl
Answer: 5 mg/dl
