<span>factors of 18 = (2)(3)(3)
factors of 16 = (2)(2)(2)(2)
factors of 14 = (2)(7)
least common denominator = (2)(2)(2)(3)(3)(2)(7) = 16*9*7 = 1008 </span><span>
</span>
Answer:
1256 cubic yards of sand.
Step-by-step explanation:
In this question we have to find the volume of cone formed by sand.
Height of the cone is = 36 feet
Radius of the cone = 60/2 =30 feet.
Now we know the formula of volume of cone v = π r² (h/3)
By putting the values of r and h we can get the volume of sand to spread.
Volume = π×(30)²×(36/3) = 3.14×900×12 feet³
= 33912 feet³
Now we will convert feet³ to cubic yards
Since 1 cubic feet = .037037 cubic yards
therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.
So the answer is 1256 cubic yards of sand has the department received.
Answer:
<h2>7 square units</h2>
Step-by-step explanation:
As you can observe in the image attached, we know the coordinates of each vertex of the triangle.
To find the area using only its vertex coordinates, we need to use the following formula
Where the coordinates are
Replacing coordinates, we have
![A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0 ) ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B1%280%20-5%29%2B4%285%20-1%20%29%2B3%281-0%20%20%29%20%20%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%5B-5%2B16%2B3%5D%3D%5Cfrac%7B1%7D%7B2%7D%2814%29%5C%5C%20A%3D7)
Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.
Answer:
The width of the rectangular prism is 9 cm.
Step-by-step explanation:
From the formula of the volume of a bar 
we see that 
cm.
4.110 = four and eleven hundredths.
