Answer:
C. (4,6)
D. (6.4)
E. (6,2)
Step-by-step explanation:
<h3>
Answer: 3 bottles of brand A</h3>
Explanation:
The pricing/cost information is not used in this problem. All we care about is the number of bottles, and how much each bottle can hold.
Brand A bottles hold 0.95 liters each. We bought 3 of these bottles, so 3*0.95 = 2.85 liters in total are purchased.
Brand B bottles hold 0.55 liters each. Buying 5 of them leads to 5*0.55 = 2.75 liters in total.
Going with the brand A option leads to more juice by 0.10 liters (subtract 2.85 and 2.75)
Answer:
Step-by-step explanation:
Let's draw the given information first for better understanding . Check the image attached.
We can use cosine rule to find the angles .
for angle A ,
m∠A = 48.35 degrees
Similarly for angle B
m∠B = 94.94 degrees
Now use A+B+C=180 degrees
48.35+94.94+C=180
C=180-48.35-94.94
m∠C = 36.71 degrees
Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
