Find common arithmetic sequence: -2, -1 4/5, -1 3/5, -1 2/5
1 answer:
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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
Answer:
$78.72
Step-by-step explanation:
To find 30% of the original value, we need to turn this percentage into a decimal or a fraction and then multiply it by the original value
- 30% is equivalent to 0.30,
, and
- So we can use either of these values. I will use 0.30 for simplicity
- ($262.40)(0.30) = $78.72 is the amount saved
Answer:
answer in photo
hope this helps :)
Step-by-step explanation:
