The sides of the triangle occur in a ratio of 4 : 7 : 2, so if <em>x</em> is some positive number, then we can write each side's length in terms of <em>x</em> as 4<em>x</em>, 7<em>x</em>, and 2<em>x</em>.
The perimeter is 299 yd, so
4<em>x</em> + 7<em>x</em> + 2<em>x</em> = 299 yd
13<em>x</em> = 299 yd
<em>x</em> = (299 yd) / 13
<em>x</em> = 23 yd
Then the sides of the triangle have lengths of
4<em>x</em> = 4 • 23 yd = 104 yd
7<em>x</em> = 7 • 23 yd = 161 yd
2<em>x</em> = 2 • 23 yd = 46 yd
"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.
Hello!
The graphs of sine and cosine are waves. Therefore, choice A and B are wrong.
The graph of f(x) = cot(x) is an inverse of f(x) = tan(x), so therefore the graph of f(x) = cot(x) has the lines similar to the graph above, but it's flipped.
So therefore, the graph shown above is choice C, f(x) = tan x.
Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.
Step-by-step explanation:
Given : The combined height of one fir tree and one pine tree = 21 meters.
Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree.
Then we get the following equations:
Adding (1) and (2) we get
Substitute the value of x in (1), we get
Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.
