Answer:
6 gallons of water
Step-by-step explanation:
may I have brainlyest please
To get the value of h we use proportionality:
ΔABC is similar to ΔADB and is similar to ΔBDC this is because they are right triangles. This implies that there corresponding sides are equal. Hence:
AD=25-16=9
using Pythagorean theorem:
c^2=a^2+b^2
then:
AB^2=(h^2+9^2)
Also:
(BC)^2=(AB)^2+(AC)^2
=25^2-(h^2+9^2)
Also:
(BC)^2=(BD)^2+(DC)^2
thus
(BC)^2=h^2+16^2
hence combing the values for (BC)^2 we get:
25^2-(h^2+9^2)=h^2+16^2
simplifying we obtain:
625-h^2-81=h^2+256
putting like terms together
625-81-256=h^2+h^2
288=2h^2
thus
h^2=144
hence
h=√144
h=12 units
Answer:
10 cm
Step-by-step explanation:
The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:
(60 cm)/6 = 10 cm . . . length of a side