Answer:
22 2/9
Step-by-step explanation:
When z "varies jointly" with x and y, it can be described by the formula
z = kxy
Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.
n = kad
10 = k·(120)(1/4)
10/30 = k = 1/3 . . . . . divide by the coefficient of k
Now, we can fill in the other values of interest.
n = (1/3)·(200)·(1/3) = 200/9
n = 22 2/9
You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.
_____
<em>Comment on the problem</em>
This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.
Using Heron's formula:
A = √(p(p-a)(p-b)(p-c)) where a,b,c are the sides of the triangle and p is half the perimeter.
The answer is B. 149.4 square units.
Answer:
Could be C) or D) None of these, 29688.05cm^2
Step-by-step explanation:
Did the question to round off to any numbers?
Formula for cylinder's T.S.A: 2 π r h + 2 π r^2
Diameter= 2 x radius
Radius = 70cm / 2 = 35cm
Height -> need to convert m to cm -> 100cm
Substitute these values into the formula:
2 x π x 35 x 100 + 2 x π x (35)^2 = 29688.05cm^2
Answer: 14
Explanation: The radius is half of the value of the circumference.
