The formula for infinite geometric series is equal to a1 / (1-r) where in this problem a1 is equal to 8 and r is equal to 4. In this case, r is not equal to less than 1. This means the sum should be infinity and cannot be determined definitely.
Answer:
Perpendicular
Step-by-step explanation:
To tell if the lines are perpendicular/parallel, you must look at the slope, but in this case, you must first get y by itself, like so:
3x + 7y = 15
-3x - 3x
___________
7y = -3x + 15
<em><u>Divide both sides by 7:</u></em>
y = 
<em><u>Now the other equation:</u></em>
7x - 3y = 6
-7x -7x
_________
-3y = -7x + 6
<em><u>Divide both sides by -3:</u></em>
y = 
You can see that the lines are perpendicular because the slopes (
and 
) are opposite reciprocals.
Well, let's imagine that this is a right triangle, rather than an angle.
The verticle side is 800 and the angle of the horizontal side and the hypotenuse is 5 degrees. We can now find what we need. Since we know that one of the angles is 5 degrees and one angle is 90 degrees, we can add 90 + 5 and now we have 95. Now we do 180 - 95 = 85. This is our missing angle. Now we have a full set of angles. Now we can find the missing side lengths. Let's start with the horizontal side. Now we can find the horizontal side length with the sine rule. This gets us 9,144.042. Now we find the hypotenuse using the Pythagorean Theorem. As you may remember, a^2 + b^2 = c^2. For our purposes, we can find it by 9,144.042^2 + 800^2 = c^2. This gets us with 9,178.971. Now we can conclude that the road is <span>9,178.971 feet long, or </span>1.7384414773 miles. I hope this helps you.
Answer:
-6
Step-by-step explanation:
4/11=36.36%
..............
