By the law of cosines, the angle

satisfies

which reduces to

which converts to approximately 77 degrees (this can be done my multiplying by 180 and dividing by pi).
The tangent line to a circle makes an angle of 90 degrees with the radius.
If |FG| is tangent to circle E. then
30^2 = 26^2 + 17^2
which is not true.
Therefore, line segment FG is not tangent to circle E.
Answer:
Nope
Step-by-step explanation:
To now if a triangle is a right angle, use Pythagoras Theorem,
a^2 + b^2 = c^2
C usually be the longest side of the triangle, C = 17
Then also let a and b be 6 and 13 respectively.
6^2 + 13^2 =205
C^2 = 205
C = sqrt(205) = 14.32
therefore no this is not a right angle triangle
Answer:
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer.
<em>-Have a great day! :)</em>
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.