I'm not 100% sure but I think it is D
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:
C. h + k (t - 1)
Step-by-step explanation:
<em>If we use an example, you can plug in the numbers and test out which equation works. Say the first hours costs $10 and each hour after that is an additional $5. If someone rents a jet ski for 4 hours, how much did it cost?</em>
The first hour = $10
The 3 additional hours (totaled) = $15
Cost = $25
<em />
<em>So now that we know the cost, we can plug in our numbers to these equations to find which one comes out with $25.</em>
h = 10
k = 5
t = 4
<u>A</u>. 10 + 4 + 5 = <u>19</u>
<u>B</u>. 10 + (4 · 5) = 10 + 20 = <u>30</u>
<u>C</u>. 10 + 5 (4 - 1) = 10 + 5 (3) = 10 + 15 = <u>25</u>
<u>D</u>. 10 + 5 (4 + 1) = 10 + 5 (5) = 10 + 25 = <u>35</u>
<u>E</u>. 10 + (4/5 - 1) = 10 + (-0.2) = <u>9.8</u>
<em>C is the only problem that comes out as $25, therefore it must be the correct answer.</em>
If you solve for radius you get 7. Therefore the diameter of the cone would equal 14.
If f(x) = -2x + 2, f(5) can be found by substituting in the value 5 for x in the equation:
f(5) = - 2(5) + 2
Our first step in simplifying this expression is to perform the multiplication as outlined by the order of operations (PEMDAS).
f(5) = -10 + 2
Finally, we must get our final answer by adding together the remaining terms.
f(5) = -8
Hope this helps!
