Answer:
the answer is 3 feet
Step-by-step explanation:
We can use the volume formula, V =1/2 bhl to find the height of the tent
the volume is . The base is 4 and the length is 6 feet
36=1/2 ⋅4⋅h⋅6
36=12h
3=h
The height of <em>the tent is 3 feet.</em>
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
by dy/dx, we'll be assuming that "y" is encapsulating a function, a function in terms of "x".
Answer:
0.3056 or 30.56%
Step-by-step explanation:
The volume of the grapefruit with the peel is:
When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:
The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:
30.56% of volume of the grapefruit is the peel.