Answer:
The perimeter is multiplied by 5.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle with sides l and w is given by:
The side lengths of a rectangle are all multiplied by 5.
This means that . So
What happens to its perimeter?
The rate is:
The perimeter is multiplied by 5.
Answer D). 9 ft is correct
Height of the ball at a horizontal distance of 10 feet is 9 ft
Step-by-step explanation:
A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).
Y(x) =
Question asked is " What will be height (Y) of the ball when X=10 ft "
Simply putting value of X in given equation
we get,
Y(x) =
Y(x) =
Y(x) =
Y(x) =
Y(x) =
<em>Therefore,</em> Height of the ball at a horizontal distance of 10 feet is 9 ft
Answer D. 9 ft is correct
Answer:
Volume:
Ratio:
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:
where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:
Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is
For a hemisphere, the area of the curved part of the surface is therefore half of this value, so . Moreover, we have to add the surface of the base, which is
. So the total surface area of the hemispherical tank is
Therefore, the ratio betwen the volume and the surface area of the hemisphere is
Answer:
19 days
Step-by-step explanation:
Given
--- initial
-- rate
Required
Days when the fish gets to 30
The function is exponential and as such it follows;
Where x represents the number of days and y the number of fishes
Because the fishes decreases;
So, we have:
Express as decimal
In
So, we have:
Divide both sides by 150
Take log of both sides
Apply law of logarithm
Make x the subject
<em>Hence, it takes approximately 19 days</em>