The slide needs to be 4.123 meters
Step-by-step explanation:
Length for the ladder- 1 mtr
Distance of the bottom of the slide from the ladder- 4 mtr
Length of the slide needed
We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)
For right-angled triangle we know from Pythagoras theorem-
Base² + altitude²= hypotenuse
²
Substituting the values of base as 4 mtr and altitude as 1 m
(Hypotenuse)²= 17
∴ Hypotenuse (slide length) =4.123 mtr
∴ Length of the slide needed= 4.123 meters
7x²=9+x
so
for
0=ax²+bx+c

so
7x²=9+x
mins 9 from both sides and minus x
7x²-1x-9=0
a=7
b=-1
c=-9


so the 4th one
35% packed their lunch. 65/100 bought hot lunch. 100-65=35.