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n200080 [17]
2 years ago
5

The perimeter of a triangle

Mathematics
1 answer:
Umnica [9.8K]2 years ago
6 0

Answer: sum of all the given three sides

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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
What is the determinant of this matrix:
vodka [1.7K]

Answer:

-56

Step-by-step explanation:

Formula to get determinant is::

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc

0(0)-8(7)

0 - 56

-56

6 0
1 year ago
Read 2 more answers
Find the height and the exact area of the isosceles trapezoid.
kipiarov [429]
I’m going to go with 77 i’m pretty sure
8 0
2 years ago
How much can 23 go into 162?​
Aneli [31]
23 can go 7 times into 162! Hope this helps ;(
5 0
3 years ago
Read 2 more answers
Kyle Charges $75 plus $65 per hour for tractor work. How many hours does he work to earn at least $335?
strojnjashka [21]

Answer:

Hi there!

Your answer is

Kyle must work at LEAST 4 hours to earn 335$

Step-by-step explanation:

kyles charge:

75+65H>=335

-75

65H>=260

/65

H>=4

Plug back in!

75+65(4) >= 335?

335>=335 YES!

Hope this helps

7 0
2 years ago
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