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3 years ago

9

If a circle is cut from a square piece of plywood, how much plywood would be left over? Use 3.14 for pi

1 answer:

Elanso [62]3 years ago

7 0

$20^{2}$ -3.14* $10^{2}$ = 400 - 314 = 86;

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

What is the solution of 4 startroot 5 x 66 endroot = x 10? x = –10 x = 3 x = –10 or x = 3 no solution

eduard

Answer:

x=3

Step-by-step explanation:

....................

4 0

1 year ago

What is y=x+2and 2x+y=8

Leya [2.2K]

Answer:

1. x=y−2

2. -1/2y + 4

Step-by-step explanation:

5 0

3 years ago

Evaluate x2 + y3. If x =2 and y=1/4. Write your answer in simplest form. I need it now!

mart [117]

If x equals 2 and y equals 1/4 , the equation is 2 • 2 + 1/4 • 3
and that equals 4.75

8 0

3 years ago

Read 2 more answers

How do we find 4and1/4 hours after 11:20pm?

tigry1 [53]

there are 60 minutes in 1 hour, so 1/4 of an hour is 60(1/4), namely 15 minutes.

11:20pm + 4 hours, is 11+4:20, namely 15:20, of course the time system only uses up to 12, so that has to be 3:20, and then we add the 15 minutes.

11+4: 20 + 15.........3:35am.

5 0

3 years ago