Answer:
the largest number of people she can sit at a table is 18.
Step-by-step explanation:
there would be 13 tables
Answer:
x=47°
y=43°
z=133°
Step-by-step explanation:
x=x
z=3x-8
x+3x-8=180
4x-8=180
4x=188
x=47
z=3x-8=3(47)-8=141-8=133
y=90-x=90-47=43
The buildings 24 ft tall :)
Answer:
<u>Step-by-Step Explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18
Note: 8² + 15² = hypotenuse² → hypotenuse = 17
Note: hypotenuse not needed for tan
Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5