Step-by-step explanation:
4r is the greatest common factor
We know that
[volume of a <span>cylindrical paint can 1]=[area of the base]*h
so
</span>[area of the base]*h=1 gallon
if <span>the height is doubled
</span>[volume of a cylindrical paint can 2]=[area of the base]*(2*h)
[volume of a cylindrical paint can 2]=2*{[area of the base]*h)}
[volume of a cylindrical paint can 2]=2*[volume of a cylindrical paint can 1]
[volume of a cylindrical paint can 2]=2*[1 gallon]-----> 2 gallons
the answer is
<span>the capacity of the lager one is 2 gallons</span>
Use the Pyth. Theorem to calculate the total distance flown by the plane in 3 1/2 hours:
d = sqrt(750^2 + 750^2) = 750sqrt(2) miles
Now divide this distance by the total time (3 1/2 hours):
750sqrt(2) miles
---------------------- = 303 miles per hour average
3.5 hours
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)