Answer:
0.17 °/s
Step-by-step explanation:
Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.
We differentiate the above expression with respect to time to have
dsinθ/dt = d(D/L)/dt
cosθdθ/dt = (1/L)dD/dt
dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.
We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft
We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]
dθ/dt = (1/Lcosθ)dD/dt
dθ/dt = (1/L√[1 - (D/L)²])dD/dt
dθ/dt = (1/√[L² - D²])dD/dt
Substituting the values of the variables, we have
dθ/dt = (1/√[20² - 16²]) 2 ft/s
dθ/dt = (1/√[400 - 256]) 2 ft/s
dθ/dt = (1/√144) 2 ft/s
dθ/dt = (1/12) 2 ft/s
dθ/dt = 1/6 °/s
dθ/dt = 0.17 °/s
Answer:
y - 1700 = 200(x-4)
Step-by-step explanation:
I hope
9. $12,50
10. $17.50 (ripoff lol)
11. Clearly Alastair, they got some strong muscles
12. Taryn would be charging $15 an hour and alastair $24.50 an hour. $735 divided by $15 an hour equals 49 hours for Taryn. $735 divided by $24.50 an hour equals 30 hours for Alastair.
13a. 5 minutes to make a sculpture and 7 balloons in a sculpture
13b. Tomas uses 1.4 balloons a minute
13c. 14 balloons (tip. when multiplying a decimal by 10, 100, etc, just move the decimal for the number of zeroes.) 1.4x10 = 14. Simply move the decimal to the right one because there is one zero in 10.
13c blanks. The first blank is 1.4 and the second blank is 14
14. 8 pound bag of dog food is a way better deal!
15. $10.50
16a. The price for 25 whistles is $0.85 each, 50 whistles for $0.72 each, or 80 whistles for $0.75 each. The difference between the highest number and lowest number is $0.13 or 13 cents.
16b. $0.34 or 34 cents
16c. She should order 80 Kazoos <em>not a meme reference</em>
I hope all of this helped! It took forever!
Answer:
it is C
Step-by-step explanation:
