Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
We have such equation
1.25x=0.75x+50 /-0.75x (subtract 0.75 both sides)
1.25x-0.75x=0.75x-0.75x+50
0.5x=50 /*2 (multiply both sides times 2)
0.5x*2=50*2
x=100 - its the answer
Answer:
With $1 you can buy 50 Tootsie rolls, and 20 Peppermint Patties.
Step-by-step explanation:
100 divided by 2 = 50
100 divided by 5 = 20
Answer:
Step-by-step explanation:
<u>Area formula</u>
<u>Applied to the given rectangle, we have</u>
<u>Since 36 ≤ A ≤ 72, substituting A</u>
It is viable.
Let's first find the number of apple pies.
apple pies = 65 crates x 43 apple pies per crate = 2795 apples pies
If each apple pie cost $12 then...
money from apple pies = 2795 apple pies x $12 = $33540
total pies sold = 2795 apple pie + 121 boxes x 76 sweet potato pies = 11991 pies
