A classroom globe has a diameter of 12 inches. What is the volume of the globe? Use 3.14 for pi. Round your answer to the nearest hundredth. 904.32 in3 

2144.66 in3

7238.23 in3

9202.77 in3

The required point that is common for all lines of symmetry for a given circle is the center of the circle.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
For the given circle, Each and every line of symmetry in the circle is termed to be diameter and each diameter of the circle passes through the center.

Thus, the required point that is common for all lines of symmetry for a given circle is the center of the circle.

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Final answer:

To divide 7/9 by 2 13/18, convert the mixed number to an improper fraction, then multiply the fractions and simplify. The result is 42/141.

Explanation:

To divide 7/9 by 2 13/18, we need to convert the mixed number 2 13/18 into an improper fraction. To do this, we multiply the whole number (2) by the denominator of the fraction (18) and add the numerator (13). This gives us 47. So, 2 13/18 can be written as the improper fraction 47/18.

Now, we can divide 7/9 by 47/18. We multiply the first fraction by the reciprocal of the second fraction (flip the numerator and denominator). So, (7/9) ÷ (47/18) becomes (7/9) × (18/47).

To multiply fractions, we multiply the numerators together and the denominators together. This gives us (7/9) × (18/47) = (7 × 18) / (9 × 47) = 126/423.

Lastly, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor. The GCD of 126 and 423 is 3. Dividing both numerator and denominator by 3 gives us the simplified answer: 42/141.

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Answer: Carla ran 13,200 feet.

Step-by-step explanation:

Hi, to answer this question we have to know that each mile has 5,280 feet.

So, to calculate how many feet did she run we have to multiply the distance in miles (2.5) by 5,280 (feet in one mile).

Mathematically speaking:

2.5 miles x 5,280 f/miles = 13,200 feet

Carla ran 13,200 feet.

Feel free to ask for more if it´s necessary or if you did not understand something.

The required equation is m = 100-5c.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Grace has $100. She is buying charms for her bracelet that cost $5 each.

Let, she buys c charms for her bracelets,

Therefore, the equations become,

m = 100-5c

Where, m is money is she left with.

Hence, the required equation is m = 100-5c.

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The equivalent value of the fraction is A = 64

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

where the value of p = 16

Let the denominator of the fraction be q

where q = 1/4

Now , the fraction is A = p/q

On simplifying the expression , we get

So , the left hand side of the equation is equated to the right hand side by the value of p/q

A = 16 / ( 1/4 )

A = 16 x 4

On further simplification , we get

A = 64

Therefore , the value of A = 64

Hence , the expression is A = 64

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