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Ganezh [65]
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

Mathematics
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
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