Answer:
10cm
Step-by-step explanation:
Right angle triangle area= ab/2
GO IN REVERSE
24 x2= 48
48/8=6
now you have the 2 side you need to use Pythagoras
6^2+8^2=100
square root of 100=10cm
so the hypotenuse is 10 cm
Your answer is 24.333...If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
Answer: has a maximum
the maximum is 11
Step-by-step explanation:
f(x)= -5x^2-10x+6
the function f(x)= ax^2+bx+c=0 has a<0 so the equation has a maximum
I know V has the coordonate x=-b/2a, and y=-(b^2-4ac)/4a
b^2-4*a*c= (-10)^2-4*(-5)*6=100+120=220
so -b/2a=-(-10)/-2*5=+10/-10=-1 and
-(b^2-4ac)/4a=-220/4*(-5)=-220/-20=22/2=11
so V( -1, 11)
and the maximum is 11
The necessary information's are already given in the question. Based on those information's the answer to the question can be easily determined.
Amount of water recirculated by the pump in 1/5 of an hour = 60 gallons
we already know
1/5 of an hour = (1/5) * 60 minutes
= 12 minutes
Then
Amount of water recirculated by
the pump in 60 minutes = (60/12) * 60 gallons
= 5 * 60 gallons
= 300 gallons
So the amount of water recirculated by the pump per hour is 300 gallons.
Answer:
{x | x R, x ≤ -4}
Step-by-step explanation:
Given choices are:
{x | x R, x < -4} {x | x R, x ≤ -4} {x | x R, x > -4} {x | x R, x ≥ -4}
Now we need to find about Which of the following sets would have a graph that is a closed circle on -4 and an arrow to the left?
we know that close circle is used only if we have ≤ or ≥ in given inequality.
Since arrow goes to the left then it must be ≤
Hence final answer is {x | x R, x ≤ -4}