Answer:
The length of the rope = 8.94 meters
Step-by-step explanation:
∵ The flagpole is 8 meters high
∵ The hook is 4 meters from its base and the hook is in the ground
∵ The flagpole and the ground ⊥ to each other
By using Pythagoras theorem:
∴ The length of the rope = √(8² + 4²) = 5√5 = 8.94 meters
We know that
volume of a cylinder=pi*r²*h
r=√[V/(pi*h)]
r=10 m
A <span>second cylinder has
V2=V-----> volume of the second cylinder
h2=25*h----> height of the second cylinder
r2----> radius of the second cylinder
r2=</span>√[V2/(pi*h2)]----> r2=√[V/(pi*25*h)]---> r2=(1/5)*√[V/(pi*h)
r2=(1/5)*10-----> r2=2 m
the answer is
<span>the radius of the second cylinder is 2 m</span>
Orders are a, b, c, lets write equations to represent the problem's info:
a + b = 150
b + c = 100
a + c = 150
so we have 3 unknowns and 3 equations, so we can solve.
<span>Use the first equation:
a + b = 150
</span>a = 150 - b
and substitute in the 3rd:
<span>a + c = 150
</span>150 - b + c = 150
then
b = c
and we can substitute that in the original equation:
<span>b + c = 100
</span>2b = 100
b = 50
c = 50
and substitute in the first equation:
<span>a + b = 150
</span>a = 150 - b = 150 - 50
a = 100
then a = 100, b = c = 50
Your answer is 9. Hope this helps, if not, please comment below!
Answer:
7 dimes, 14 quarters, and 25 nickels
Step-by-step explanation:
do the math. :)
