When you draw this out, what you have is a right triangle problem. The height of the rope from the ground is 12 (a side), the distance she is from the base of the tree is 5 (a side), and the length of the rope is the hypotenuse. Use Pythagorean's Theorem to find the length of the hypotenuse: 5^2+12^2 = c^2 or
25+144 = c^2 and c^2 = 169, which makes the length of the rope come out to be 13 feet long.
Answer:
$7803.72
Step-by-step explanation:
We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.
First of all, we will find the volume of silo using volume of cone formula.
, where,
r = radius
h = Height
We know that radius is half the diameter, so radius of silo would be
.





Now we will multiply total volume by $414 to find total cost.\



Therefore, it will cost $7803.72 to fill the silo with soybeans.
Answer:
1 gallon ever 5 minutes here is the fraction form if you need it for a graph 3/15 or 1/5
Step-by-step explanation:
if there is 3 gallons gone and it is constant then on gallon goes every 5 minutes 15/3=5
A. the graph represents a relation because it contains ordered pairs (x,y). It is also a function because there are no repeating x values.
B. (0,0) (8,6)
slope = (6 - 0 ) / (8 - 0) = 6/8 = 3/4
so ur equation is : y = 3/4x or f(x) = 3/4x <===
C. the variable x represents the height of the building and the variable y (or f(x)) represents the total length of the shadow
For this case we must solve the following equation:

We apply distributive property on the right side of the equation:

We subtract 6y on both sides of the equation:

We subtract 6 from both sides of the equation:

Dividing by 6 on both sides of the equation:

So, the result is 
Answer:
