$x:y:z\ \ \ \Leftrightarrow\ \ \ 6:3:1\\ \\ \frac{x}{z} =\frac{6}{1}\ \ \ \Rightarrow\ \ \ x=6z\ \ \ \ \ \ \ and\ \ \ \ \ \ \ \frac{y}{z} =\frac{3}{1}\ \ \ \Rightarrow\ \ \ y=3z\\ \\x+y+z=420\ \ \ \Rightarrow\ \ \ 6z+3z+z=420\ \ \ \ \Rightarrow\ \ \ \ 10z=420\ /:10\\ \\z=42\ \ \ \Rightarrow\ \ \ \ x=6\cdot42=252\ \ \ \ and\ \ \ \ y=3\cdot42=126\\ \\ \\a=x-50\%x=50\%x= \frac{1}{2} \cdot252=126=3\cdot42\\ \\b=y+42=126+42=168=4\cdot42\\ \\c=420-126-168=126=3\cdot42\\ \\a:b:c\ \ \ \Leftrightarrow\ \ \ 3:4:3$

7 0

3 years ago

What is the length of s?

Serggg [28]

Answer:

Step-by-step explanation:

We will use trigonometry to solve this problem.

We see that the side provided is the hypotenuse and the side we are looking for is opposite to the angle provided. Thus, we will use sin since sin uses opposite/hypotenuse.

Now we solve.

sin45 = x/14

sin45 * 14 = x

x = 9.899494936611665

6 0

3 years ago