Answer:
The dimensions are 6 by 6
Step-by-step explanation:
Calculus answer:
2x +2y= 24
xy= A
2x=24-2y
x=12-y
(12-y)(y)= 12y- y^2
the Derivative is = 12-2y
Then set that equal to zero 0=12-2y
-12=-2y
y=6
Confirm that 6 is a maximum by using a wiggle graph
wiggle graph -∞<---inc--6---dec-->∞
6 is a maximum
plug into original equation
2x + 2(6)=24
2x+12=24
2x=12
x=6
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y=6
x=6
Answer:
-¹²/₅
Step-by-step explanation:
Let cos a = -⁵/₁₃
Then tan a = sin a/cos a
= [√(1 - cos²a)]/cos a
= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)
= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅
= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅
= -¹²/₁₃ × ¹³/₅
= -¹²/₅
tan(arccos (-⁵/₁₃)) = -¹²/₅
The diagram shows the 2nd quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.
If an ostrich can run 50 miles in one hour then he can run 12.5 miles in 15 minutes. 15 minutes is 1/4 of an hour. Multiply 50 by 0.25 = 15.
30%of 68 = 30/100*68= 3*68/10=204/10=20.4