Part A:
First, we will need to compute the area of the lawn.
We are given that the lawn is a rectangular plot with dimensions 60 ft and 90 ft.
Area of rectangle = length * width
Area of lawn = 60 * 90 = 5400 ft^2
Now, we will compute the number of ounces.
We are given that:
<span>Each ounce of grass seed will cover 120 square feet. Therefore, to know the number of ounces needed to cover 5400 square feet, all we have to do is cross multiplication as follows:
1 ounce ---------> 120 square feet
?? ounce --------> 5400 square feet
Number of ounces needed = (5400*1) / (120) = 45 ounces
Part B:
We know that one ounce is equivalent to 0.0625 pounds.
For the lawn, we need 45 ounces, this means that:
number of pounds needed for the lawn = (45*0.0625) / (1) = 2.8125 pounds
which is approximately 3 pounds.
We know that each bag weighs one pound, therefore:
number of bags needed = 3 bags
Hope this helps :)
</span>
Total number of marbles=5+3+4=12
Probability of picking a red marble =5/12
Answer:
9.6
Step-by-step explanation:
q=4+0.8(7)
Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
