Answer:
Step-by-step explanation:
If the side lengths of the rectangle are 3 and 12, then the area, length times width, is 36.
If the area of the square is equivalent to the area of the rectangle, then
which is the formula for the area of a square. Take the square root of 36 to get that each side of the square is 6 inches long.
Since a square has 4 sides, we get that the perimeter of that square is 4 * 6 which is 24 inches.
Answer:
Step-by-step explanation:
r=5 ×90/100=4.5 in
h=6×90/100=5.4 in
a.
volume of original cylinder=π×5²×6=150 π≈471.24 in³
b.
volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³
c.
decrease in volume=150 π-109.35 π=40.65π
% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %
Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The equation of a vertical parabola into vertex form is
where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Move the constant term to the left side
Complete the square
Rewrite as perfect squares
therefore
The vertex is the point (-1,-6)
Answer:
Step-by-step explanation:
Given that the amount of chlorophyll in a leaf changes based on outside temperature. Here there are two variables.
i) Amount of chlorophyll in a leaf
ii) outside temperature
Here outside temperature is an independent variable as amount of chlorophyll in a leaf cannot control it.
But on the other hand, Amount of chlorophyll in a leaf depends on the outside temperature and hence cannot be independent but dependent variable
Recall the definition of dependent and independent variable
An independent variable is the variable that is controlled in a scientific experiment to test the effects on the dependent variable.
A dependent variable is the variable being tested and measured in a scientific experiment.
Domain of 2(x + 5) is all real numbers.
