Answer:
1/3*9.7*Pi*7.6^2 ft^3 and then round to nearest tenth
Step-by-step explanation:
The trick is knowing that the volume of the cone is exactly 1/3 of the volume of the cylinder with the same radius & height. This relation can be derived using integrals.
Answer:
x= -1
Step-by-step explanation
First move the variables to the left and change it's sign
(-6+x-2x=-5)
Then combine like terms
(-6-x=-5)
Then move the -6 to the right and combine it with the -5
(-x=-5+6)
(-x=1)
Lastly change the signs by dividing by 1
(x=-1)
Given ratio of the width of Francois's wife's vegetable garden to its length is 5:8.
Let l1,w1 be the length and width of Francois's wife's vegetable garden.
Then 
Given ratio of the width of the herb garden to its length is 3:5.
Let l2,w2 be the length and width of herb garden.
That is 
Given that length of the herb garden is same as the width of the vegetable garden.
That is l2=w1 let this common value be x.
So, first ratio is 
l1 = 
Second ratio is 
w2 = 
perimeter of vegetable garden = 2(l1+w1) = 
Perimeter of herb garden = 2(l2+w2) = 
Given that francois has 252ft of fencing material.
That is perimeter of vegetable garden + perimeter of herb garden = 252



So, 
And 
So dimensions of vegetable garden are 48ft, 30ft.
And dimensions of herb garden are 30ft,18ft.
Answer:
Translate 7 units up and then translate 11 units to the left.
Step-by-step explanation:
We have the triangle PQR having co-ordinates (10,6), (6,2) and (4,-1).
It is required to translate ΔPQR so that the resulting image is completely inside the 2nd quadrant.
So, for that we will apply the following sequence of translations:
1. Translate 7 units up.
This will give us the figure in the 1st quadrant having co-ordinates (10,1), (6,9) and (4,6).
2. Translate 11 units to the left
We will get the final triangle P'Q'R' with the co-ordinates P'(-1,1), Q'(-5,9) and R'(-7,6) as shown below.