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Licemer1 [7]
3 years ago
9

Kim wants to put a small fence in the shape of a circle around a tree in her backyard. She wants the radius of the circle to be

2 feet, leaving room to plant flowers around the tree. How many of fencing does she need to buy if it is sold by the foot? Use 3.14 to approximate
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0
In this case, you first need to think about what is the formula for the circumference of a circle. <span>The formula for the circumference of a circle is 2 * PI * r, where r is the radius of the circle, and PI is the mathematical constant approximately equal to 3.14.

2\pi*r=2*3,14*2=12,56feet
</span>
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80m<br> 60m<br> What is the length of the hypotenuse?
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Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

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2 years ago
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The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square r
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Step-by-step explanation:

The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x

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We have x² + (3x)² = 10,

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Therefore 2 possible translation vectors

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First new C' = (2 + (1), 3 + (3)) = (3, 6).

Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).

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4 0
3 years ago
When you divide a decimal by a decimal why do you multiply the dividend and the divisor by a power of 10
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3 years ago
Simplify the square root of 3 times the fifth root of 3.
bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

\sqrt[n]{x^{m}}=x^{\frac{m}{n}}

Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

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3 years ago
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