Answer:
(a) We will form an equation of line from the points given (6,10) and (2,15)
Using:
On substituting the values in the formula above we will get the required equation of line.
On simplification we will get:
(b) We need to tell at day 0 put x=0 in above equation:
Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.
Now, we need to tell decrease per day which is equal to the slope of line
To find the slope compare the equation with general equation which is y=mx+c where m is slope
Here, in
which is the decrease per day.
Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
The angle to the left of angle 1 is 70, so angle 1 is equal to 180 - 70 - 70 which is 40,
