one interior angle = 30° <==== this one is given
second interior angle = 180 - 40 = 140° <=== interior angle + exterior angle = 180
third interior angle = 180 - 30 - 140 = 10° <=== angles in a triangle = 180
The surface area is multiplied by 5.
The surface area is divided by 5.
The surface area is divided by 25.
The surface area is multiplied by 25.
We know that
x²+px−35=0-------> <span>has one root that is equal to 7
so
substitute x=7 in the equation
</span>7²+p*7−35=0
49+p*7−35=0
14+p*7=0
p=-14/7------> p=-2
the answer Part a) is
t<span>he value of the coefficient p is -2
</span>
Part b) <span>Find the other root
</span>x²+px−35=0-----> x²-2x−35=0
<span>
using a graph tool-------> to resolve the second order equation
see the attached figure
the other root is
x=-5
the answer part b) is</span>
the value of the other root is -5<span>
</span>
Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.