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3 years ago

Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How

Mathematics

1 answer:

Viefleur [7K]3 years ago

8 0

Answer:

The waste Suzanne is going to have is around 7.726.

8 if looking for nearest square foot.

Step-by-step explanation:

Area for a square - x*x (length times length)

Area for a circle - r^2*pi

Find the area of the circle first, which plug in r as 3.

3^2*pi

9pi

≈28.27433

Notice for a circle inside a square, the length of the square is the diameter of the circle.

By knowing 2r=diameter, we know the length of the square is 6

substitute x as 6.

6*6=36

Find the waste= Area of square - Area of circle

36-28.27433

≈7.726

The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.

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Which statement describes the translation of y = −one half (x − 2)2 − 2 from standard position?

kaheart [24]

A quadratic in vertex form can be represented as

$y = a(x-h)^{2} +k$

a represents reflection over the x-axis, and a vertical stretch or compress
- is reflection and a fraction (1/2) represents a compression.

-h represents a shift of that many units to the right (-2 shifts to the right two units)

k represents a shift up or down (-2 is shifting down 2 units_

Reflected over the x-axis, Vertically compressed by a factor of 1/2, shifted 2 units to the right, and shifted 2 units down

5 0

3 years ago

PLEASE HELP ME!!!!!!!!!

vitfil [10]

$(x - 4) {}^{2} - 28 = 8 \\ (x - 4) {}^{2} = 8 + 28 \\ (x - 4) {}^{2} = 36$

This must be true for some value of x, since we have a quantity squared yielding a positive number, and since the equation is of second degree,there must exist 2 real roots.

$\sqrt{(x - 4) {}^{2} } = ± \sqrt{36} \\x - 4 = ±6 \\ x _{1}- 4 = 6 \: \: \: \: \: \: \: \: \: \: x _{2}- 4 = - 6 \\ x_{1} = 6 + 4 \: \: \: \: \: \: \: \: \: \: x_{2} = - 6 + 4 \\ x_{1} = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x_{2} = - 2$

Well he started off correct to the point of completing the square.

$(x - 3) {}^{2} = 16 \\ x - 3 = ±4 \\ \: x_{1} - 3 = 4 \: \: \: \: \: \: \: \: \: \: \: \: x_{2} - 3 = - 4 \\ x_{1} = 7 \: \: \: \: \: \: \: \: \: \: x_{2} = - 1$

8 0

1 year ago

How many 16-ounce bottles would be needed to hold the same total amount of water 56 bottles that each holds 20 ounces

snow_lady [41]

70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.

Step-by-step explanation:

Given,

56 bottles hold 20 ounces each.

Total amount 56 bottles hold= 56x20

Total amount hold by 56 bottles= 1120 ounces

Let the number of 16 ounces bottles be = x

Total amount hold by x bottles = 16x

According to the given statement both amounts are same;

$16x=1120\\Dividing\ both\ sides\ by\ 16\\\frac{16x}{16} = \frac{1120}{16} \\x=70$

70 bottles will hold 16 ounces amount same as 56 bottles hold 20 ounces.

Keywords: Division, Multiplication

Learn more about division at:

#LearnwithBrainly

6 0

3 years ago

Help Me fast!!!!!!!!!!!!

Ugo [173]

Answer:

12.25 i think sorry if im wrong

Step-by-step explanation:

4 0

3 years ago

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Find f (x )if f apostrophe apostrophe (x )equals x to the power of negative 2 end exponent comma space x greater than 0 comma sp

viva [34]

Step-by-step explanation:

Given $g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0$

To get g(x), we will have to integrate g'(x)

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If g(1) = 0, this means at x = 1, g(x) = 0

0 = -1⁻¹ + C

C= 1

Substitute C = 1 into the function

g(x) = -x⁻¹ + 1

If g(2) = 0, this means at x = 2, g(x) = 0

0 = -2⁻¹ + C

C= 2⁻¹

C = 1/2

Substitute C = 2 into the function

g(x) = -x⁻¹ + 1/2

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3 years ago