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2 years ago

A flower pot has a diameter of 6 feet. What is the area of the flower pot, to the nearest whole number?

Mathematics

1 answer:

Elodia [21]2 years ago

7 0

Answer:

28 ft²

Step-by-step explanation:

The area of a circle is $\pi r^2$ , where r = radius. To find the radius, we split the diameter in half.

6/2 = 3
Thus, the radius is 3.

Now, let's find the area of the circle and approximate pi to 3.14.

$3.14*3^2$
$3.14*9$
$28.26$
28.26 ≈ 28 ft²

Therefore, the answer is 28 ft².

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represented by the graph of a straight line through the origin with a slope equal to the unit rate.

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3 years ago

True or false: opposite angles of a square are supplementary angles

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Answer:

True

Step-by-step explanation:

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3 years ago

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Simplify -6i(8-6i)(-8-8i)

padilas [110]

Answer:

-96 + 672\,i

Step-by-step explanation:

This is a product of complex numbers, so we have in mind not only the general rules for multiplying binomials, but also the properties associated with the powers of the imaginary unit "i", in particular $i^2=-1$

We start by making the first product indicated which is that of a pure imaginary number (-6i) times the complex number (8-6i). We use distributive property and obtain the new complex number that results from this product:

$-6\,i\,(8-6\,i)= (-6\,i)\,* 8 \, -\,6\,i\,(-6\,i)=-48\,i+36\,i^2=-48\,i+36\,(-1)=-36-48\,i$

Now we make the second multiplication indicated (using distributive property as one does with the product of binomials), and combine like terms at the end:

$(-36-48\,i)\,(-8-8\.i)=(-36)\.(-8)+(-36)(-8\,i)+(-48\,i)\,(-8)+(-48\,i)(-8\,i)=\\=288+288\,i+384\,i+384\,i^2=288+288\,i+384\,i+384\,(-1)=\\=288-384+288\,i+384\,i=-96+672\,i$

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3 years ago