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:15 times
Step-by-step explanation:
For the 3 batches it is 3 x 5/4 (5/4 is how much each batch costs)=15/4
And you must divide 15/4 by 1/4 or multiply it by 4 crossing out the denominator giving you your answer 15
3/5 cannot be simplified into a smaller fraction.
The correct answer is y=1/2x+1
The equation of this line is x = 7 and it's slope is undefined aswell.