Part A) 24.79 acres
1) Since that plot has an area of
![1,089,000ft^2=1.08\times10^6ft^2](https://tex.z-dn.net/?f=1%2C089%2C000ft%5E2%3D1.08%5Ctimes10%5E6ft%5E2)
And the number of units must be between 10 and 10² units.
Part A)
![\begin{gathered} 27,878,400ft^2=2.78784\times10^7ft^2=1m^2 \\ 43560ft^2\text{ =4.356 }\times10^4ft^2\text{ = 1 acre} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027%2C878%2C400ft%5E2%3D2.78784%5Ctimes10%5E7ft%5E2%3D1m%5E2%20%5C%5C%2043560ft%5E2%5Ctext%7B%20%3D4.356%20%7D%5Ctimes10%5E4ft%5E2%5Ctext%7B%20%3D%201%20acre%7D%20%5Cend%7Bgathered%7D)
2) Let's convert them to the apparently plausible units, see if it fits within the given interval.
![\begin{gathered} \frac{1.08\times10^6}{4.356\times10^4}=24.79\text{ acres} \\ \frac{1.08\times10^6}{2.78784\times10^7}=0.03m^{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B1.08%5Ctimes10%5E6%7D%7B4.356%5Ctimes10%5E4%7D%3D24.79%5Ctext%7B%20acres%7D%20%5C%5C%20%5Cfrac%7B1.08%5Ctimes10%5E6%7D%7B2.78784%5Ctimes10%5E7%7D%3D0.03m%5E%7B2%7D%20%5Cend%7Bgathered%7D)
We can see that 0.03 m² does not belong to the given interval.
3) Hence, the answer is 24.79 acres.
Answer:
t2 = 2.8 hours
Step-by-step explanation:
The distance is the same for each velocity.
Formula
d1 = d2
d = r*t
Givens
r1 = 140 miles / hour
t1 = 3.2 hours
r2 = 160 miles / hour
t2 = ?
Equation
r1*t1 = r2 * t2
Solution
140 * 3.2 = 160 * t2
448 = 160* t2
448 / 160 = t2
t2 = 2.8 hours
Formula for a sphere is V = (4 ⁄ 3) π r^3
The picture shown showed the diameter.
Half of a diameter is the radius.
The radius is 2.95 yd.
Let’s plug in the values into the formula.
V = (4/3) 3.14 (2.95)^3
V = 107.48
NOW THATS THE ANSWER FOR A WHOLE SPHERE BUT YOURE LOOKING FOR THE HEMISPHERE.
So let’s divide that in half:
107.48/2 = 53.74
Your answer is B.) 53.74 yd