The answer is d. because there are 35 pouches.
Fruit Punch = 10/36 = 0.277778
Lemonade = 12/36 = 0.3333
Kiwi Berry = 6/36 = 0.16667
Cherry = 8/36 = 0.222222
Since she does it 120 times, multiply each decimal by 120.
Fruit Punch = 0.277778 * 120 = 33
Lemonade = 0.3333 * 120 = 40
Kiwi Berry = 0.16667 * 120 = 20
Cherry = 0.222222 * 120 = 27
The closest answer choice is d. That's why the answer is d.
Hope this helped☺☺
46 Yards or 184 Orders of 1/4 Cubic Yards
So first you need to find the area of the plot; 552. Then you need to find out how much soil you will need. There are 12 inches in a foot so if you have 3 inches you have .25 of a foot. So you multiply 552 by .25 and get 138. 138 is how many cubic feet you need. Therefore, you need to divide this number by 3 in order to convert this to yards (3 feet in a yard). This will bring you to 46. Finally, we need to multiply this number by 4 because they only sell in 1/4 cubic yards.
Answer:
802
Step-by-step explanation:
Answer:
Solution : ( - 5, 5π / 4 )
Step-by-step explanation:
There are four cases to consider here, the first two with respect to r > 0, the second two with respect to r < 0. r is the directed distance from the pole, and theta is the directed angle from the positive x - axis. Let's start by listing coordinates when r is positive. r here is 5 units from the positive x - axis.
( 5, θ ) theta here is between 30 and 60 degrees, so we can say it's about 45 degrees.
( 5, θ ) theta here is the remaining negative side of 360 - 45 = 315. That would make it - 315.
And when r is negative ( r < 0 ),
( - 5, θ ) now the point is going to lie on the ray pointing in the opposite direction of the terminal side of theta. This will be 45 degrees more than 180, or 180 + 45 = 225 degrees.
Right away we know that ( - 5, 225° ) is our solution, we don't have to consider the second case. Converting 225 to radians in terms of π will be 5π / 4 radians, giving us a solution of ( - 5, 5π / 4 ) or option b.
Answer:
The radius of the duct is or
Step-by-step explanation:
The picture of the question in the attached figure
we know that
At the point of tangency, the tangent to a circle and the radius are perpendicular lines
so
In the right triangle formed
Applying the Pythagorean Theorem
Remember that
substitute
solve for r
Multiply by 16 both sides
convert to mixed number
----> exact value
The approximate value is