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:
All angles must add up to 180, so if you add 69+5x+2+9y-3, it is = to 180.
First we can subtract 68 cancelling out 69, 2 and -3 so it is
5x+9y = 112. I assume this is an iscoceles triangle so we already knew 9y - 3 = 69, y=8, x=8
Answer:
The probability that the mean of the sample is greater than $325,000
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given the mean of the Population( )= $290,000
Standard deviation of the Population = $145,000
Given the size of the sample 'n' = 100
Given 'X⁻' be a random variable in Normal distribution
Let X⁻ = 325,000

<u><em>Step(ii):</em></u>-
The probability that the mean of the sample is greater than $325,000

= 0.5 - A(2.413)
= 0.5 - 0.4920
= 0.008
<u><em>Final answer:-</em></u>
The probability that the mean of the sample is greater than $325,000
Answer:
The area of the rectangular coral = 2,976 ft²
Step-by-step explanation:
Bryce has 220 ft of fencing to fence a rectangular coral.
Let the dimensions of the corral be x ft. × y ft.
One side of the coral is 48 ft. long
A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.
Total length of material for fencing = 220 ft.
Hence the perimeter of the reef = 220 ft.
2x + 2y = 220
And one length of the rectangular coral = x = 48 ft.
We can solve for the remaining dimension of the rectangular coral this way.
2(48) + 2y = 220
2y = 220 - 96 = 124
y = (124/2) = 62 ft.
Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²
Hope this Helps!!!
Answer:
oofyios
Step-by-step explanation: