Answer: Quadrant IV
Step-by-step explanation: Pic attached.
I found the x and y using substitution (isolating one variable and plugging it into the other). There was probably an easier way but I couldn't think of it at that moment.
From there, you have the point ( 133/36 , -23/18), or a (+, -).
Find Which quadrant has positive x and negative y.
In this case, this would be Quadrant IV or 4.
Hope this helps! Sorry if too complicated lol.
79.7 divided by the circumference of the wheel. The wheels circumference is π r² and r is diameter divided by two. The answer should be 301 after rounding down since you need complete revolutions
Answer:
60
Step-by-step explanation:
1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60
Consider re-writing this formula as "A = pi*r^2." The backslash symbol "\" is unnecessary.
If A = pi*r^2, and we wish to solve for r, then divide both sides by pi:
A/pi = r^2
Taking the square root of both sides, sqrt(A/pi) = r (r must be positive in this situation).
Answer:
x = 32 degrees
Angle ABC (left one): 153 degrees
Angle CBD (right one): 27 degrees
Step-by-step explanation:
We know that the total angle will be 180 degrees, as it's a continuous straight line.
We can set the sum of our 2 angles equal to 180 degrees and solve for x.
(4x + 25) + (x - 5) = 180
4x + 25 + x - 5 = 180
4x + x + 25 - 5 = 180
5x + 20 = 180
5x = 160
x = 160/5 = 32
x = 32
Angle ABC:
4x + 25 = 4 * 32 + 25 = 128 + 25 = 153
153 degrees
Angle CBD:
x - 5 = 32 - 5 = 27
27 degrees
We can confirm this by adding the 2 angles together. We should get 180 degrees.
153 + 27 = 180
Checks out!
