Volume of a cone formula: V = πr²*h/3
V = volume
r = radius
h = height
Solve with the given values.
V = π(7)²*19/3
V = π(49)*19/3
V = 153.86*19/3
V = 974.94...
Round to the nearest one.
974.94... → 975.0
Therefore, the answer is 975.0yd³
Best of Luck!
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:
x + y = 25 and 4x + 3y = 84
The first one would refer to the number of tiles and the second one to number of edges.
We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with x = 25 - y which would look like this:
4 (25 - y) + 3y = 84
Solve.
100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16
Then:
x = 25 -y
x = 25 - 16
x = 9
So the answer is that there are 9 square tiles and 16 triangular tiles.
Answer:
10.3125 (NOT ROUNDED)
Step-by-step explanation:
1. I changed it to decimals. 1/4 can easily be changed into a decimal.
2. I set 1/4 = x/100. Then cross multiplied. That would give you 4x = 100.
3. Now you would simplify that. x would be 25. So its 25/100 wich then turns to .25.
4. Now you are going to replace them so it would be 1.25 and 8.25.
5. To find out how much milk chocolate there was you would multiply 1.25 and 8.25.
6. That's your final answer
Answer: x = -2 and x = -3
Step-by-step explanation:
y = x^2 + 5x + 6 *FACTOR*
(x+2) (x+3) = 0
x + 2 = 0
-2 -2
x = -2
x + 3 = 0
-3 -3
x = -3
Answer:
you can get 12 gallons on gas
Step-by-step explanation:
x/30=1/2.42
step 1) cross multiply
x * 2.42 = 1 * 30
2.42x=30
step 2) divide both sides by 2.42
2.42x/2.42 = 30/2.42
= 12.396694
round to the nearest gallon
≈12 gallons
