Answer:
A
Step-by-step explanation:
Answer:
The sine of the acute angle is ![0.95](https://tex.z-dn.net/?f=0.95)
Step-by-step explanation:
using a graphing tool
see the attached figure
Let
A-----> the acute angle formed by the given line and the positive x-axis
In the right triangle XYZ
we know that
![sin(A)=\frac{xy}{xz}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7Bxy%7D%7Bxz%7D)
we have
![xy=3\ units](https://tex.z-dn.net/?f=xy%3D3%5C%20units)
![yz=1\ units](https://tex.z-dn.net/?f=yz%3D1%5C%20units)
Applying the Pythagoras Theorem find the value of xz
![xz^{2}=3^{2}+1^{2}\\ \\xz^{2}=10\\ \\xz=\sqrt{10}\ units](https://tex.z-dn.net/?f=xz%5E%7B2%7D%3D3%5E%7B2%7D%2B1%5E%7B2%7D%5C%5C%20%5C%5Cxz%5E%7B2%7D%3D10%5C%5C%20%5C%5Cxz%3D%5Csqrt%7B10%7D%5C%20units)
substitute
![sin(A)=\frac{3}{\sqrt{10}}=0.95](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B3%7D%7B%5Csqrt%7B10%7D%7D%3D0.95)
Answer:
x=-4 y=5
Step-by-step explanation:
Rewrite equations:
x=−4y+16;3x+4y=8
Step: Solvex=−4y+16for x:
x=−4y+16
Step: Substitute−4y+16forxin3x+4y=8:
3x+4y=8
3(−4y+16)+4y=8
−8y+48=8(Simplify both sides of the equation)
−8y+48+−48=8+−48(Add -48 to both sides)
−8y=−40
−8y
−8
=
−40
−8
(Divide both sides by -8)
y=5
Step: Substitute5foryinx=−4y+16:
x=−4y+16
x=(−4)(5)+16
x=−4(Simplify both sides of the equation)
Answer:
x=−4 and y=5
Answer:
It's 28!
Step-by-step explanation: