Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
To figure this out you can do 7.2/8.2, because you are trying to figure out how much of the total was used, and percentages would not be more than 100%. Doing this you would get ~.878. To convert this to a percent, you would just multiply it by 100, which would give you 87.8%. The question states to round to the nearest whole percent, leaving you with 88%. This means that 88% of the revenue was spent.
Hope that helped, don't be shy to comment on this if you have any questions about my explanation :)
Answer:
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
Step-by-step explanation:
Week 1 - 5 minutes per day
Week 2 - 10 minutes per day
Week 3 - 20 minutes per day
Week 4 - 40 minutes per day
Week 5 - 80 minutes per day
Week 6 - 160 minutes per day
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
Volume of the cone is 117.5 π ft³
<u>Step-by-step explanation:</u>
Lateral area of the cone = πrs
s is the slant height = 15 ft
From the above formula, we can find the radius as, 5 ft.
Volume of the cone = π r² h/3
s = √ (5²+ h²)
Squaring on both sides, we will get,
s² = 15² = (5² + h²)
15² - 5² = h²
225 - 25 = 200 = h²
h = √200 = 14.1 ft
Volume = π × 5² × 14.1 / 3 = 117.5 π ft³
Answer:
(-2, -18) and (2, 10)
Step-by-step explanation:
the answer is -18 and 10
