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3 years ago

The radius of a circle is 15 inches. A chord is drawn 4 inches from the center of the circle. How long is the chord?

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Let X represent the length of the chord.

By using Pythagoras' Theorem:

4^2 + (X/2)^2 = 15^2

(X^2)/4 = 209

X^2 = 836

X = 28.91

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4 years ago

The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best e

ololo11 [35]

Answer:

A- She is incorrect because systems may have only complex solutions which are not visible on the graph

Step-by-step explanation:

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3 years ago

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Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers

ella [17]

Answer:

The Relative Frequency Table is:

<u> Manufacturer Relative Frequency </u>

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

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Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

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3 years ago

Ms. Fontanges wants to put a line of bricks along the back edge of her yard. She needs 35 feet of bricks. The bricks she wants t

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Answer:

$41.16

Step-by-step explanation:

Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick

Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold

1 ft = 12 inches

Number of brick required = (35 * 12) ÷ 10

Number of bricks required = 42 bricks

Cost of brick required = Per length cost of brick * Number of bricks required

Cost of brick required = 0.98 * 42

Cost of brick required = $41.16

Ms. Fontanges would spend $41.16 on the purchase of bricks

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3 years ago

An admiral, captain, and commander, all different, are to be chosen from a group of 10 Starfleet officers. How many different ch

zepelin [54]

Answer:

$10C1 *9C1*8C1 = 10*9*8=720$

Step-by-step explanation:

For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.

So we have 10C1 ways to select one admiral since we want just one

Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first

Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.

The term nCx (combinatory) is defined as:

$nCx = \frac{n!}{x! (n-x)!}$

And by properties $nC1= n$

So then the number of possible way are:

$10C1 *9C1*8C1 = 10*9*8=720$

If we select first the captain then the commander and finally the admiral we have tha same way of select $10*9*8=720$

For all the possible selection orders always we will see that we have 720 to select.

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