It's a right triangle problem, and pretty obviously a multiple of the only Pythagorean Triple most folks know, 3²+4²=5². In this case we multiply the lengths by three getting
9²+12²=15²
If we place the 15 foot ladder 9 feet from the house it will hit the house at height 12 feet.
Answer: 9 feet
Answer:
21
Step-by-step explanation:
126/3=42
126-42=84
84/4=21
63 are dogs
42 are cats
and 21 are rabbits
Answer:
The job will take <u><em>75 minutes</em></u> if the Hewlett Packard copier is broken
Step-by-step explanation:
In this question, we are tasked with calculating the amount of time it will the Xerox copier to finish making the copies whilst working alone
First, let the number of copies to make be x
Thus, the rate at which both copiers deliver when working together is x/30 copies per minute
If the Hewlett Packard is working alone, its rate is x/50 copies per minute
Let the time taken for the Xerox copier to complete its work be y minutes. Its working rate is thus x/y copies per minute
When we add the individual working rates, we have the joint working rate.
Hence, mathematically;
x/50 + x/y = x/30
Multiply through by 1/x
1/50 + 1/y = 1/30
1/y = 1/30 - 1/50
1/y = (50-30)/1500
1/y = 20/1500
20y = 1500
y = 1500/20
y = 75 minutes
Thus, the job will take 75 minutes if the Hewlett Packard copier is broken
Since the gas it is getting compressed with a change on temperature, we consider that the pressure is constant, and of course the number of mole is constant (same gas), therefore, from the ideal gas law
P
V
=
n
R
T
we can say:
V
T
=
constant
Therefore,
V
1
T
1
=
V
2
T
2
⇒
T
1
=
V
1
×
T
2
V
2
⇒
T
1
=
12
L
×
300
K
8
L
=
450
K
A=450k
