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
70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.
Step-by-step explanation:
Given,
56 bottles hold 20 ounces each.
Total amount 56 bottles hold= 56x20
Total amount hold by 56 bottles= 1120 ounces
Let the number of 16 ounces bottles be = x
Total amount hold by x bottles = 16x
According to the given statement both amounts are same;
70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.
Keywords: Division, Multiplication
Learn more about division at:
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3:5 =3/5
3/5=4.16/x
using cross multiplication,
5(4.15)=3(x)
20.8=3x
x=108/15
thus, 4.16÷104/15 =3/5
Answer:
if you solve the equation it is 8 but the equation is 5-(-3) or 5+3 because two negatives equal a plus