Alright, lets get started.
3 feet = 1 yard
If we cube both sides of the equation, we will get the conversion into cubic yards
So,
27 cubic feet = 1 cubic yards
So, 1 cubic feet = 
cubic yards
So, 360 cubic feet = 
cubic yards
So, 360 cubic feet = 13.33 cubic yards
13.33 cubic yards of air can it circulate per minute. : Answer
Hope it will help :)
Answer:
£9,£21
Step-by-step explanation:
richard:andrew=3:7
3+7=10
£30÷10=£3
richard=3×£3=£9
andrew=7×£3=£21
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
Answer:
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 
, where 
is the radius of the circle and 
is the angle of the arc.
In this problem, we're given:
Substituting given values, we get:
First notice that the triangle with sides
and the triangle with sides
are similar. This is true because the angle between sides
in the smaller triangle is clearly
, while the angle between sides
in the larger triangle is clearly
. So the triangles are similar with sides
corresponding to
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is
, then the length of the longer leg is
and the hypotenuse has length
.
Since
is the shortest leg in the larger triangle, it follows that
, so
