Three feet is 1 yard. 26 feet would be 26/3=8 2/3 yards long.
Answer:
The graph is stretched vertically by a factor of ½, translated left 5 units, and translated up 3 units.
First, let's add 2.75 + 0.158. First, we add the thousandths places. Now, we have 2.758 + 0.15. Next, let's add the hundredths place. This is equal to 2.808+0.1. Finally, we have the tenths place. Now, our number is 2.908.
To finish this problem, we add 0.003. 2.908 + 0.003 = 2.911, so 2.911 is the answer to this problem.
I got:
<span>y′=(−y<span>e^−x</span>−e^y)/xe^y+e^x</span>
then plugged in x and y and got slope of (-5-e^5)
and ended with equation of y=(-5-e^5)x+5
I'm not sure with my solution though i hope this might help you.
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2